.. _V3.04.004: **v3.04.004** SSLV04 - Cylindre creux en contraintes planes ============================================================ **Résumé:** Ce test est tiré du Guide VPCS (test SSLV04/89) et a pour objet un cylindre creux chargé en pression interne. Ce problème tridimensionnel est traité avec différentes modélisations: * en :math:`3D` : 9 modélisations (pentaèdres, hexaèdres, tétraèdres et pyramides, degrés1 et 2), * en :math:`2D` contraintes planes: 4 modélisations (triangles et quadrangles degrés 1 et 2, quadrangles à 9 nœuds), * en :math:`2D` axisymétrique: 3 modélisations (triangles et quadrangles degrés1 et 2, quadrangles à 9 nœuds). Les fonctionnalités testées sont: * pression répartie, * effet de fond (avec pression fixe ou variable), * déplacements imposés, * matrices de rigidité, * déformations et contraintes aux nœuds, * réactions nodales (modélisation K), * utilisation de MACR_LIGN_COUP sur un concept mult_elas et un concept comb_fourier (modélisation I) Il y a 16 modélisations. **Problème de référence** **Géométrie** Coordonnées des points: .. csv-table:: "", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" ":math:`>`", "0.100", "0.200", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" ":math:`>`", "0.", "0.", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" ":math:`>`", "0", "0.", "0.", "0.", "0.", "0." **Propriétés de matériaux** Le module d'Young du matériau est égal à :math:`>` . Le coefficient de Poisson est égal à :math:`>` . **Conditions aux limites et chargements** Pression interne: :math:`>` Pression interne variable (modélisation P uniquement): :math:`>` varie linéairement de :math:`>` à :math:`>` à :math:`>` à :math:`>` **Solution de référence** **Méthode de calcul utilisée pour la solution de référence** En contrainte plane (cylindre à bords libres aux extrémités) :math:`>` On obtient : pour :math:`>` : :math:`>` ; pour :math:`>` : :math:`>` Passage dans le système d’axes cartésiens: :math:`>` avec: * :math:`>` aux points :math:`>` et :math:`>` , * :math:`>` aux points :math:`>` et :math:`>` , * :math:`>` aux points :math:`>` et :math:`>` . **Résultats de référence** Déplacements :math:`>` et contraintes :math:`>` aux points :math:`>` . **Références bibliographiques** 1. Guide VPCS. SSLV04/89 2. Y. C. FUNG. Foundations of solid mechanics. Prentice-hall, inc. Englewood Cliffs. NJ. 1965 p.243 à 245. 3. J. COURBON. Résistance des matériaux p 649 **Modélisation A** **Caractéristiques de la modélisation** Éléments 3D (PENTA6 et HEXA8). Maillage obtenu par extrusion à partir d’un maillage :math:`>` ressemblant au maillage ci-dessous (30 éléments dans la direction radiale avec dé-raffinement progressif et :math:`>` éléments dans la direction circonférentielle). +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | Suivant l’axe :math:`>` : | 1 couche d’éléments | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | Épaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | | | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | Conditions limites: | | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | | | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | nœud :math:`>` : :math:`>` | | | +--------------------------------------------------------------------------+------------------------------------------------------------+-----+ | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+------------------------------------------------------------+-----+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+------------------------------------------------------------+-----+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+---------------------+-----------+-----------+-----------+--+--+--+ | | | | | | | +------------------------------------------------------------------------------------------------+-----------+-----------+-----------+-----+--+ | Noms des nœuds: | :math:`>` | :math:`>` | :math:`>` | | | +------------------------------------------------------------------------------------------------+-----------+-----------+-----------+-----+--+ | | :math:`>` | :math:`>` | :math:`>` | | | +------------------------------------------------------------------------------------------------+-----------+-----------+-----------+-----+--+ **Caractéristiques du maillage** Nombre de nœuds: 1922 Nombre de mailles et types: 900 PENTA6, 450 HEXA8 et 90 QUAD4 (faces peau interne). **Grandeurs testées et résultats** .. csv-table:: "**Localisation**", "**Grandeur**", "**Référence**", "**Type de référence**", "**Tolérance**" "Champ nor_DNOR Point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "1,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "0,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" .. csv-table:: "**Localisation**", "**Grandeur**", "**Référence**", "**Type de référence**", "**Tolérance**" "", "", "", "", "" "Maille M1380, point :math:`>`", "", "", "", "" "SIRO_ELEM", ":math:`>`", "60.0", "'ANALYTIQUE'", "2.0%" "Contrainte normale à la face de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>`", "-60.0", "'ANALYTIQUE'", "2.0%" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.0" "Deuxième valeur de la contrainte", ":math:`>`", "-100.0", "'ANALYTIQUE'", "1.0%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>`", "100.0", "'ANALYTIQUE'", "1.0%" "", "", "", "'ANALYTIQUE'", "" "Maille M1351, point :math:`>`", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM", ":math:`>`", "42.426", "'ANALYTIQUE'", "1.5%" "Contrainte normale à la face de l'élément", ":math:`>`", "42.426", "'ANALYTIQUE'", "2.0%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>`", "-60.0", "'ANALYTIQUE'", "1.0%" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.2" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.2" "SIRO_ELEM", ":math:`>`", "70.711", "'ANALYTIQUE'", "1.5%" "Deuxième valeur de la contrainte", ":math:`>`", "-70.711", "'ANALYTIQUE'", "1.5%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>`", "100.0", "'ANALYTIQUE'", "1.0%" .. _DdeLink__14869_1330770811: .. _DdeLink__14869_13307708111: .. _DdeLink__14869_1330770811111: .. _DdeLink__14869_13307708111212: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'ANALYTIQUE'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "3.69552 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "1.53073 10–5", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "6%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "6%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "10%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "10%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "6%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,2 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–20.", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "8%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "2%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" **Modélisation B** **Caractéristiques de la modélisation** Éléments 3D (PENTA15 et HEXA20). Maillage obtenu par extrusion à partir du maillage :math:`>` ci-dessous (modélisation F) +--------------------------------------------------------------------------+----------------------+--+ | Suivant l’axe :math:`>` : | 2 couches d’éléments | | +--------------------------------------------------------------------------+----------------------+--+ | Épaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+----------------------+--+ | | | | +--------------------------------------------------------------------------+----------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+----------------------+--+ | | | | +--------------------------------------------------------------------------+----------------------+--+ | nœud :math:`>` | | | +--------------------------------------------------------------------------+----------------------+--+ | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+----------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+----------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+----------------------+--+ .. csv-table:: "", "", "", "", "" "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", "" "", ":math:`>`", ":math:`>`", ":math:`>`", "" **Caractéristiques du maillage** Nombre de nœuds: 2115 Nombre de mailles et types: 400 PENTA15, 100 HEXA20 40 QUAD8 (faces peau interne) **Grandeurs testées et résultats** .. csv-table:: "**Localisation**", "**Grandeur**", "**Référence**", "**Type de référence**", "**Tolérance**" "", "", "", "", "" "Maille MA751, point :math:`>`", "", "", "", "" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "3." "Contrainte normale à la face de l'élément", ":math:`>`", "60.0", "'ANALYTIQUE'", "0.5%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.05" "SIRO_ELEM", ":math:`>`", "100.0", "'ANALYTIQUE'", "0.15%" "Deuxième valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "4.5" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.20" "", "", "", "'ANALYTIQUE'", "" "Maille MA769, point :math:`>`", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM", ":math:`>`", "-42.426", "'ANALYTIQUE'", "6.0%" "Contrainte normale à la face de l'élément", ":math:`>`", "42.426", "'ANALYTIQUE'", "4.0%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.03" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "SIRO_ELEM", ":math:`>`", "70.711", "'ANALYTIQUE'", "3.5%" "Deuxième valeur de la contrainte", ":math:`>`", "70.711", "'ANALYTIQUE'", "4.5%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" .. _DdeLink__14869_13307708112: .. _DdeLink__14869_133077081121: .. _DdeLink__14869_1330770811211: .. _DdeLink__14869_13307708112111: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "-", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "1%" "Maille MA251", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "Maille MA251", "Champ SIGM_ELNO, comp. :math:`>`", "– 60.", "'ANALYTIQUE'", "1%" "Maille MA251", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,02 (absolu)" "Maille MA251", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "Maille MA251", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille MA251", "Champ EPSI_ELNO, comp. :math:`>`", "– 4.5 10–4", "'ANALYTIQUE'", "1%" "Maille MA251", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille MA251", "Champ EPSI_ELNO,comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "-", "Champ DEPL, comp. :math:`>`", "4 10–5", "'ANALYTIQUE'", "1%" "Maille MA551", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "0,1%" "Maille MA551", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille MA551", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,015 (absolu)" "Maille MA551", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,15 (absolu)" "Maille MA551", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille MA551", "Champ EPSI_ELNO, comp. :math:`>`", "– 0.6. 10–4", "'ANALYTIQUE'", "1%" "Maille MA551", "Champ EPSI_ELNO,comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille MA551", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "Maille MA399", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "10%" "Maille MA399", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "10%" "Maille MA399", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "Maille MA399", "Champ SIGM_ELNO, comp. :math:`>`", "80.", "'ANALYTIQUE'", "1%" "Maille MA399", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille MA399", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille MA399", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille MA399", "Champ EPSI_ELNO,comp. :math:`>`", "5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "–2.82843 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "Maille MA695", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille MA695", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille MA695", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,05 (absolu)" "Maille MA695", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "0,1%" "Maille MA695", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille MA695", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille MA695", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille MA695", "Champ EPSI_ELNO,comp. :math:`>`", "1.3 10 –4", "'ANALYTIQUE'", "1%" **Modélisation C** **Caractéristiques de la modélisation** Éléments 3D (TETRA4). :math:`>` est sur l’axe :math:`>` +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Découpage: | 21 nœuds équidistants sur les segments :math:`>` , :math:`>` et :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | 21 nœuds équidistants sur les arcs :math:`>` et :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Suivant l’axe :math:`>` : | 1 couche d’éléments | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Epaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | nœud :math:`>` : :math:`>` | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+---------------------------------------------------------------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+---------------------------------------------------------------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ .. csv-table:: "", "", "", "", "" "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", "" "", ":math:`>`", ":math:`>`", ":math:`>`", "" **Caractéristiques du maillage** Nombre de nœuds: 1115 Nombre de mailles et types: 3724 TETRA4 et 1760 TRIA3 (faces peau interne) **Grandeurs testées et résultats** .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "Champ nor_DNOR Point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "1,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "0,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "", "", "", "", "" "Maille M5444, point :math:`>`", "", "", "", "" "SIRO_ELEM", ":math:`>`", "60.0", "'ANALYTIQUE'", "8.0%" "Contrainte normale à la face de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.5" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.5" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.5" "Deuxième valeur de la contrainte", ":math:`>`", "-100.0", "'ANALYTIQUE'", "2.0%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.20" "", "", "", "'ANALYTIQUE'", "" "Maille M5404, point :math:`>`", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM", ":math:`>`", "42.426", "'ANALYTIQUE'", "6.0%" "Contrainte normale à la face de l'élément", ":math:`>`", "42.426", "'ANALYTIQUE'", "9.0%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.00" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.50" "SIRO_ELEM", ":math:`>`", "-70.711", "'ANALYTIQUE'", "2.0%" "Deuxième valeur de la contrainte", ":math:`>`", "70.711", "'ANALYTIQUE'", "4.0%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.10" .. _DdeLink__14869_13307708113: .. _DdeLink__14869_133077081114: .. _DdeLink__14869_13307708111112: .. _DdeLink__14869_133077081112122: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "3 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "15%" "", "Champ EPSI_NOEU, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "3.69552 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "1.53073 10–5", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "11%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "10%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "20%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "20%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "3%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "10%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–20.", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "11%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" **Modélisation D** **Caractéristiques de la modélisation** Élément 3D (TETRA10). :math:`>` est sur l’axe :math:`>` +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Découpage: | 11 nœuds équidistants sur les segments :math:`>` , :math:`>` et :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | 11 nœuds équidistants sur les arcs :math:`>` et :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Suivant l’axe :math:`>` : | 1 couche d’éléments | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Epaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | nœud :math:`>` : :math:`>` | | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+---------------------------------------------------------------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+---------------------------------------------------------------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------------------------------+--+ .. csv-table:: "", "", "", "", "" "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", "" "", ":math:`>`", ":math:`>`", ":math:`>`", "" **Caractéristiques du maillage** Nombre de nœuds: 1395 Nombre de mailles et types: 652 TETRA10 et 480 TRIA6 (faces peau interne) **Grandeurs testées et résultats** .. _DdeLink__14869_133077081131: .. _DdeLink__14869_1330770811141: .. _DdeLink__14869_133077081111121: .. _DdeLink__14869_1330770811121221: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "3.69552 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "1.53073 10–5", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "2%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2E-3 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–20.", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "2%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "2%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "", "", "", "", "" "Maille M1111, point :math:`>`", "", "", "", "" "SIRO_ELEM", ":math:`>`", "60.0", "'ANALYTIQUE'", "1.0%" "Contrainte normale à la face de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "3.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.5" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur principale de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "4.5" "Deuxième valeur principale de la contrainte", ":math:`>`", "-100.0", "'ANALYTIQUE'", "1.0%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.1" "", "", "", "'ANALYTIQUE'", "" "Maille M1093, point :math:`>`", "", "", "'ANALYTIQUE'", "" "SIRO_ELEM", ":math:`>`", "42.426", "'ANALYTIQUE'", "14%" "Contrainte normale à la face de l'élément", ":math:`>`", "42.426", "'ANALYTIQUE'", "5.0%" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.0" "Contrainte tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.0" "", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.0" "SIRO_ELEM", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "Première valeur principale de la contrainte", ":math:`>`", "0.0", "'ANALYTIQUE'", "0.01" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "1.5" "SIRO_ELEM", ":math:`>`", "-70.711", "'ANALYTIQUE'", "5.0%" "Deuxième valeur principale de la contrainte", ":math:`>`", "70.711", "'ANALYTIQUE'", "4.0%" "tangentielle dans le plan de l'élément", ":math:`>`", "0.0", "'ANALYTIQUE'", "2.0" **Modélisation E** **Caractéristiques de la modélisation** Eléments C_PLAN (TRIA3 + QUAD4) Maillage :math:`>` ressemblant au maillage ci-dessous (30 éléments dans la direction radiale avec déraffinement progressif et :math:`>` éléments dans la direction circonférentielle). Conditions limites: +------------------------------------------------------------------------+--+--+ | côté :math:`>` bloqué en :math:`>` | | | +------------------------------------+-----------------------------------+--+--+ | | côté :math:`>` bloqué normalement | +------------------------------------+-----------------------------------+--+--+ | pression sur :math:`>` :math:`>` | | | +------------------------------------------------------------------------+--+--+ .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 961 Nombre de mailles et types: 900 TRIA3, 450 QUAD4 **Grandeurs testées et résultats** .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeurs de référence**", "**Type de référence**", "**Tolérance**" "Champ nor_DNOR Point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_DNOR point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "0,1%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "1,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "0,0", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" "Champ nor_PRES point :math:`>`", "Vecteur normal, composante :math:`>`", "-0,707", "'ANALYTIQUE'", "1,5%" .. _DdeLink__14869_13307708114: .. _DdeLink__14869_133077081115: .. _DdeLink__14869_13307708111113: .. _DdeLink__14869_133077081112123: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-10(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1,5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'ANALYTIQUE'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "12%" "", "Champ EPSI_NOEU, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "Champ DEPL, comp. :math:`>`", "3.69552 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "1.53073 10–5", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "7%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "7%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "1%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "15%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "15%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "3%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-5 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–20.", "'ANALYTIQUE'", "7%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "5%" "", "Champ EPSI_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ EPSI_NOEU, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "7%" **Modélisation F** **Caractéristiques de la modélisation** **Eléments** **C_plan** **(** **QUAD8** **+** **TRIA6** **)** Conditions limites: .. csv-table:: "côté :math:`>` bloqué en :math:`>`", "" "côté :math:`>` bloqué normalement", "" "pression sur :math:`>` :math:`>`", "" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 591 Nombre de mailles et types: 200 TRIA6, 50 QUAD8 **Grandeurs testées et résultats** .. _DdeLink__14869_133077081132: .. _DdeLink__14869_1330770811142: .. _DdeLink__14869_133077081111122: .. _DdeLink__14869_1330770811121222: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "-60.", "'ANALYTIQUE'", "1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,3 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4(absolu)" "Maille 151", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "5%" "Maille 151", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille 151", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,015 (absolu)" "Maille 151", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille 151", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille 151", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "Maille 151", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille 151", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "-4.17193 10–5", "'ANALYTIQUE'", "0,1%" "M75", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "M75", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "M75", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "M75", "Champ SIGM_ELNO, comp. :math:`>`", "80.", "'ANALYTIQUE'", "1%" "M75", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "20%" "M75", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "20%" "M75", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "M75", "Champ EPSI_ELNO, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "-2.82843 10–5", "'ANALYTIQUE'", "0,1%" "M223", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "M223", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "M223", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "M223", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "M223", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "M223", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "M223", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "M223", "Champ EPSI_ELNO, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" **Modélisation G** **Caractéristiques de la modélisation** **Modélisation** **C_PLAN** **(** **QUAD9** **)** Conditions limites: .. csv-table:: "côté :math:`>` bloqué en :math:`>`" "côté :math:`>` bloqué normalement" "pression sur :math:`>` :math:`>`" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 441 Nombre de mailles et types: 100 QUAD9 **Grandeurs testées et résultats** .. _DdeLink__14869_1330770811321: .. _DdeLink__14869_13307708111421: .. _DdeLink__14869_1330770811111221: .. _DdeLink__14869_13307708111212221: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5.9 10–5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,05 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10 –5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4(absolu)" "Maille M10", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1(absolu)" "Maille M10", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "1%" "Maille M10", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M10", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,01 (absolu)" "Maille M10", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "Maille M10", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille M10", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M10", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "Maille M91", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "Maille M91", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "Maille M91", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M91", "Champ SIGM_ELNO, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "1%" "Maille M91", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M91", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M91", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M91", "Champ EPSI_ELNO, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10 –5", "'ANALYTIQUE'", "0,1%" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "0,1%" "Maille M100", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M100", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M100", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M100", "Champ SIGM_ELNO, comp. :math:`>`", "-20", "'ANALYTIQUE'", "0,1%" "Maille M100", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M100", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M100", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M100", "Champ EPSI_ELNO, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" **Modélisation H** **Caractéristiques de la modélisation** **Eléments** **AXIS** **(** **TRIA3 + QUAD4** **)** Conditions limites: .. csv-table:: "" "nœud :math:`>` bloqué en :math:`>` pression sur :math:`>` :math:`>`" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 113 Nombre de mailles et types: 40 QUAD4, 80 TRIA3 **Grandeurs testées et résultats** .. _DdeLink__14869_13307708113211: .. _DdeLink__14869_133077081114211: .. _DdeLink__14869_13307708111112211: .. _DdeLink__14869_133077081112122211: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M119", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "6%" "Maille M119", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "1,1 (absolu)" "Maille M119", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1,5%" "Maille M119", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1,2 (absolu)" "Maille M119", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "3%" "Maille M119", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M119", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M119", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,5(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "40,", "'ANALYTIQUE'", "1,3%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,15 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "6%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "2%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M120", "Champ SIGM_ELNO, comp. :math:`>`", "-60", "'ANALYTIQUE'", "6%" "Maille M120", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "1,1 (absolu)" "Maille M120", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1,5%" "Maille M120", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1,2 (absolu)" "Maille M120", "Champ EPSI_ELNO, comp. :math:`>`", "-4,5 10–4", "'ANALYTIQUE'", "3%" "Maille M120", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M120", "Champ EPSI_ELNO, comp. :math:`>`", "5-90 10–4", "'ANALYTIQUE'", "1%" "Maille M120", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M5", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1(absolu)" "Maille M5", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,5(absolu)" "Maille M5", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "1%" "Maille M5", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,15 (absolu)" "Maille M5", "Champ EPSI_ELNO, comp. :math:`>`", "-6 10–5", "'ANALYTIQUE'", "3%" "Maille M5", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M5", "Champ EPSI_ELNO, comp. :math:`>`", "2 10–4", "'ANALYTIQUE'", "1%" "Maille M5", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**" "ORIN (0.1, 0)", "Contrainte de membrane *Pm*", "82.9180024359435", "‘ANALYTIQUE’" "ORIN (0.1, 0)", "Contrainte de flexion *Pb*", "62.3994636932228", "‘ANALYTIQUE’" "ORIN (0.1, 0)", "*Pm + Pb*", "145.3170033", "‘ANALYTIQUE’" "EXTR (0.2, 0)", "Contrainte de membrane *Pm*", "82.9180024359435", "‘ANALYTIQUE’" "EXTR (0.2, 0)", "Contrainte de flexion *Pb*", "47.1217312842318", "‘ANALYTIQUE’" "EXTR (0.2, 0)", "*Pm + Pb*", "35.80513084", "‘ANALYTIQUE’" **Modélisation I** **Caractéristiques de la modélisation** **Eléments** **AXIS** **(** **TRIA6** **+** **QUAD8** **)** Conditions limites: .. csv-table:: "" "Nœud :math:`>` bloqué en :math:`>` pression sur :math:`>` :math:`>`" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 175 Nombre de mailles et types: 20 QUAD8, 40 TRIA6 **Grandeurs testées et résultats** .. _DdeLink__14869_133077081132111: .. _DdeLink__14869_1330770811142111: .. _DdeLink__14869_133077081111122111: .. _DdeLink__14869_1330770811121222111: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "6%" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "1,1 (absolu)" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1,5%" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1,2 (absolu)" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M59", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1(absolu)" "Maille M59", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,5(absolu)" "Maille M59", "Champ SIGM_ELNO, comp. :math:`>`", "40,", "'ANALYTIQUE'", "1,3%" "Maille M59", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,15 (absolu)" "Maille M59", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "Maille M59", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M59", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille M59", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "-60", "'ANALYTIQUE'", "6%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "1,1 (absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1,5%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1,2 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "-4,5 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "5-90 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M48", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1(absolu)" "Maille M48", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,5(absolu)" "Maille M48", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "1%" "Maille M48", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,15 (absolu)" "Maille M48", "Champ EPSI_ELNO, comp. :math:`>`", "-6 10–5", "'ANALYTIQUE'", "1%" "Maille M48", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" "Maille M48", "Champ EPSI_ELNO, comp. :math:`>`", "2 10–4", "'ANALYTIQUE'", "1%" "Maille M48", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-2 (absolu)" On a comparé à la fin de ce test un chargement en rotation en axisymétrique pur avec le même chargement en Fourier mode 0. On trouve bien des résultats identiques. Résultats issus de MACR_LIGN_COUP sur le segment AE: Les tests de NON_REGRESSION sont faits sur les tables issues de MACR_LIGN_COUP appliquée à un CHAMP_GD. Ils constituent les valeurs de référence ‘AUTRE_ASTER’ pour les tables issues de MACR_LIGN_COUP appliquée à un résultat de type mult_elas . +-----------------------------------+-------------------------------+-------------------------+-----------------------+---------------+ | **Localisation** | **Grandeur** | **Valeur de référence** | **Type de référence** | **Précision** | +------------------+----------------+--------------+----------------+ | | | | **Point** | **ABSC_CUR** | **Champ** | **Composante** | | | | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0 | DEPL | DX | - | ‘NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.005 | DEPL | DX | - | ‘NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.1 | DEPL | DX | - | NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0 | DEPL | DX | 1.35511346318 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.005 | DEPL | DX | 1.35531703991 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.1 | DEPL | DX | 1.35511346318 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ On procède de même pour tester le résultat de MACR_LIGNE_COUPE appliquée à un concept de type comb_fourier. +-----------------------------------+-------------------------------+-------------------------+-----------------------+---------------+ | **Localisation** | **Grandeur** | **Valeur de référence** | **Type de référence** | **Précision** | +------------------+----------------+--------------+----------------+ | | | | **Point** | **ABSC_CUR** | **Champ** | **Composante** | | | | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0 | DEPL | DX | - | ‘NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.005 | DEPL | DX | - | ‘NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.1 | DEPL | DX | - | NON_REGRESSION’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0 | DEPL | DX | 5.8999716105E-05 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.005 | DEPL | DX | 5.90000189066E-05 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ | :math:`>` | 0.1 | DEPL | DX | 5.89997161037E-05 | ‘AUTRE_ASTER’ | - | +------------------+----------------+--------------+----------------+-------------------------+-----------------------+---------------+ **Modélisation J** **Caractéristiques de la modélisation** **Eléments** **AXIS** **(** **QUAD9** **)** Conditions limites: .. csv-table:: "" "nœud :math:`>` bloqué en :math:`>` pression sur :math:`>` :math:`>`" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 205 Nombre de mailles et types: 40 QUAD9 **Grandeurs testées et résultats** .. _DdeLink__14869_1330770811321111: .. _DdeLink__14869_13307708111421111: .. _DdeLink__14869_1330770811111221111: .. _DdeLink__14869_13307708111212221111: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M39", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "0,5%" "Maille M39", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M39", "Champ SIGM_ELNO, comp. :math:`>`", "-", "'NON_REGRESSION'", "-" "Maille M39", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "Maille M39", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "Maille M39", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M39", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M39", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,02(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,01(absolu)" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "-", "'NON_REGRESSION'", "-" "Maille M1", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,005 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille M1", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5,90 10-5", "'ANALYTIQUE'", "0,1%" "Maille M40", "Champ SIGM_ELNO, comp. :math:`>`", "-60", "'ANALYTIQUE'", "0,5%" "Maille M40", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M40", "Champ SIGM_ELNO, comp. :math:`>`", "-", "'NON_REGRESSION'", "-" "Maille M40", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,05 (absolu)" "Maille M40", "Champ EPSI_ELNO, comp. :math:`>`", "-4,5 10–4", "'ANALYTIQUE'", "1%" "Maille M40", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M40", "Champ EPSI_ELNO, comp. :math:`>`", "5-90 10–4", "'ANALYTIQUE'", "1%" "Maille M40", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "0,1%" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,02(absolu)" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "0,", "'ANALYTIQUE'", "0,01(absolu)" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "-", "'NON_REGRESSION'", "-" "Maille M2", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "5E-3 (absolu)" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "-6 10–5", "'ANALYTIQUE'", "1%" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "2 10–4", "'ANALYTIQUE'", "1%" "Maille M2", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" **Modélisation K** **Caractéristiques de la modélisation** **Eléments** **3D** **(** **PENTA6** **et** **HEXA8** **)** Maillage obtenu par extrusion à partir du maillage :math:`>` ci-dessous (modélisation E) +--------------------------------------------------------------------------+---------------------------------------+--+ | Suivant l’axe :math:`>` : | 2 couches d’éléments | | +--------------------------------------------------------------------------+---------------------------------------+--+ | Epaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+---------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------+--+ | nœud :math:`>` : :math:`>` | | | | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+---------------------------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+---------------------------------------+--+ | face :math:`>` | déplacement radial imposé à :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------+--+ .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "plan :math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" "plan :math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "plan :math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" "plan :math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 513 Nombre de mailles et types: 400 PENTA6, 100 HEXA8 40 QUAD4 (faces peau interne) **Remarques** Le chargement est ici en déplacement imposé, contrairement aux autres modélisations. On teste les réactions. **Grandeurs testées et résultats** .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" ":math:`>`", "Champ REAC_NODA , comp FX", "1.0884 E–3", "‘AUTRE_ASTER’", "0,7%" "", "Champ REAC_NODA, comp FY", "4.5084 E–4", "‘AUTRE_ASTER’", "1,7%" ":math:`>`", "Champ REAC_NODA , comp FX", "2.1768 E–3", "‘AUTRE_ASTER’", "1%" "", "Champ REAC_NODA, comp FY", "9.0170 E–4", "‘AUTRE_ASTER’", "1,3%" ":math:`>`", "Champ REAC_NODA , comp FX", "1.0884 E–3", "‘AUTRE_ASTER’", "0,7%" "", "Champ REAC_NODA, comp FY", "4.5084 E–4", "‘AUTRE_ASTER’", "1,7%" ":math:`>`", "Champ REAC_NODA , comp FX", "1.1636 E–3", "‘AUTRE_ASTER’", "0,7%" "", "Champ REAC_NODA, comp FY", "1.8429 E–4", "‘AUTRE_ASTER’", "0,6%" ":math:`>`", "Champ REAC_NODA , comp FX", "1.0045 E–3", "‘AUTRE_ASTER’", "1%" "", "Champ REAC_NODA, comp FY", "6.1550 E–4", "‘AUTRE_ASTER’", "1%" ":math:`>`", "Champ REAC_NODA , comp FX", "2.3272 E–3", "‘AUTRE_ASTER’", "0,5%" "", "Champ REAC_NODA, comp FY", "3.6858 E–4", "‘AUTRE_ASTER’", "0,6%" ":math:`>`", "Champ REAC_NODA , comp FX", "2.0090 E–3", "‘AUTRE_ASTER’", "0,7%" "", "Champ REAC_NODA, comp FY", "1.2310 E–3", "‘AUTRE_ASTER’", "0,8%" **Remarques** On vérifie que les forces nodales de réactions sont nulles en tous les nœuds, sauf sur les nœuds de la surface :math:`>` et des surfaces :math:`>` et :math:`>` . **Modélisation L** **Caractéristiques de la modélisation** **Eléments** **3D** **(** **PYRAM5** **)** +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Suivant l’axe :math:`>` : | chaque parallélépipède est découpé en 6 pyramides | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Épaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | nœud :math:`>` : :math:`>` | | | | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+---------------------------------------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+---------------------------------------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 342 Nombre de mailles et types: 600 PYRAM5 620 QUAD4 (faces peau interne) **Grandeurs testées et résultats** .. _DdeLink__14869_13307708113212: .. _DdeLink__14869_133077081114212: .. _DdeLink__14869_13307708111112212: .. _DdeLink__14869_133077081112122212: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5.90 10-5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M3", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "12%" "Maille M3", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "10%" "Maille M3", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2. (absolu)" "Maille M3", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "5. (absolu)" "Maille M3", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "11%" "Maille M3", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "10%" "Maille M3", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M3", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1.(absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "2%" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "2. (absolu)" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "5%" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "4%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "60%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "3 (absolu)" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "4%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "35%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "80%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "4%" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "6%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,5 (absolu)" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,05 (absolu)" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "10%" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "10%" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-1 (absolu)" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "5%" **Modélisation M** **Caractéristiques de la modélisation** **Eléments** **3D** **(** **PYRAM13** **)** +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Suivant l’axe :math:`>` : | chaque parallélépipède est découpé en 6 pyramides | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Épaisseur totale : | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | Conditions limites: | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | | | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ | nœud :math:`>` : :math:`>` | | | | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------+------------------------------------+---------------------------------------------------+--+ | | face :math:`>` bloquée normalement | +-------------------------------------+------------------------------------+---------------------------------------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +--------------------------------------------------------------------------+---------------------------------------------------+--+ .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 1703 Nombre de mailles et types: 600 PYRAM13 620 QUAD8 (faces peau interne) **Grandeurs testées et résultats** .. _DdeLink__14869_133077081132121: .. _DdeLink__14869_1330770811142121: .. _DdeLink__14869_133077081111122121: .. _DdeLink__14869_1330770811121222121: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "5.90 10-5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M6", "Champ SIGM_ELNO, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "1%" "Maille M6", "Champ SIGM_ELNO, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "Maille M6", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M6", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M6", "Champ EPSI_ELNO, comp. :math:`>`", "–4.5 10–4", "'ANALYTIQUE'", "1%" "Maille M6", "Champ EPSI_ELNO, comp. :math:`>`", "5.9 10–4", "'ANALYTIQUE'", "1%" "Maille M6", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M6", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "40.", "'ANALYTIQUE'", "0,12%" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M58", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1. (absolu)" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "–6 10–5", "'ANALYTIQUE'", "1%" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "2. 10–4", "'ANALYTIQUE'", "1%" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M58", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "Maille M546", "Champ SIGM_ELNO, comp. :math:`>`", "–80.", "'ANALYTIQUE'", "0,12%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "2%" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M546", "Champ EPSI_ELNO, comp. :math:`>`", "–5.2 10 –4", "'ANALYTIQUE'", "1%" ":math:`>`", "", "", "", "" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "-", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,01 (absolu)" "Maille M599", "Champ SIGM_ELNO, comp. :math:`>`", "-20", "'ANALYTIQUE'", "0,12%" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.7 10–4", "'ANALYTIQUE'", "1%" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "Maille M599", "Champ EPSI_ELNO, comp. :math:`>`", "–1.3 10–4", "'ANALYTIQUE'", "1%" **Modélisation N** **Caractéristiques de la modélisation** **Eléments** **3D** **(** **PENTA15** **et** **HEXA20** **)** Maillage obtenu par extrusion à partir d’un maillage :math:`>` ressemblant au maillage ci-dessous ( 8éléments dans la direction radiale, :math:`>` éléments dans la direction circonférentielle) et dupliqué pour avoir une section complète du cylindre (sur 360°). +-------------------------------------------------+---------------------------------------------------+ | Suivant l’axe :math:`>` : | 1 couche d’éléments | +-------------------------------------------------+---------------------------------------------------+ | Epaisseur totale : | :math:`>` | +-------------------------------------------------+---------------------------------------------------+ | | | +-------------------------------------------------+---------------------------------------------------+ | Conditions limites: | | +-------------------------------------------------+---------------------------------------------------+ | | | +-------------------------------------------------+---------------------------------------------------+ | face :math:`>` bloquée en :math:`>` | | face :math:`>` bloquée normalement | +-------------------------------------------------+---------------------------------------------------+ | | | +-------------------------------------------------+---------------------------------------------------+ | pression sur la face :math:`>` | :math:`>` | +-------------------------------------------------+---------------------------------------------------+ | effet de fond sur les sections | :math:`>` | +-------------------------------------------------+---------------------------------------------------+ | | | +-------------------------------------+-----------+---------------------+-----------+-----------+--+--+ | Noms des nœuds: | :math:`>` | :math:`>` | :math:`>` | | | +-------------------------------------+---------------------------------+-----------+-----------+--+--+ | | :math:`>` | :math:`>` | :math:`>` | | | +-------------------------------------+---------------------------------+-----------+-----------+--+--+ **Caractéristiques du maillage** Nombre de nœuds: 8832 Nombre de mailles et types: 1024 PENTA15, 512 HEXA20, 1176 QUAD8 et 2048 TRIA6. **Remarques** Contrairement aux modélisations précédentes, on prend en compte ici l’effet de fond s’appliquant sur les sections aux extrémités du cylindre. **Grandeurs testées et résultats** .. _DdeLink__14869_1330770811321211: .. _DdeLink__14869_13307708111421211: .. _DdeLink__14869_1330770811111221211: .. _DdeLink__14869_13307708111212221211: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "5.60 10-5", "'NON_DEFINI'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "3.4 10-5", "'NON_DEFINI'", "0,1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "0,1(absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'NON_DEFINI'", "1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "2%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'NON_DEFINI'", "1%" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'NON_DEFINI'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "-20.", "'NON_DEFINI'", "1%" **Modélisation O** **Caractéristiques de la modélisation** **Eléments** **C_PLAN** **(** **QUAD8** **+** **TRIA6** **)** Maillage :math:`>` ressemblant au maillage ci-dessous (8 éléments dans la direction radiale, :math:`>` éléments dans la direction circonférentielle) et dupliqué pour avoir une section complète du cylindre (sur 360°). Conditions limites: .. csv-table:: "côté :math:`>` bloqué en :math:`>`" "côté :math:`>` bloqué normalement" "pression sur :math:`>` :math:`>`" .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`" "", ":math:`>`", ":math:`>`", ":math:`>`" **Caractéristiques du maillage** Nombre de nœuds: 3840 Nombre de mailles et types: 1026 TRIA6, 512 QUAD8 **Grandeurs testées et résultats** .. _DdeLink__14869_1330770811321212: .. _DdeLink__14869_13307708111421212: .. _DdeLink__14869_1330770811111221212: .. _DdeLink__14869_13307708111212221212: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "5.90 10-5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,3 (absolu)" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "4 10-5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'ANALYTIQUE'", "0,5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,015 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "0,1. (absolu)" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "4.17193 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "5%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "-80", "'ANALYTIQUE'", "1%" ":math:`>`", "", "", "", "" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "", "Champ DEPL, comp. :math:`>`", "2.82843 10–5", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'ANALYTIQUE'", "1%" "", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'ANALYTIQUE'", "1E-4 (absolu)" "", "Champ SIGM_NOEU, comp. :math:`>`", "–20.", "'ANALYTIQUE'", "1%" **Modélisation P** **Caractéristiques de la modélisation** **Eléments** **3D** **(PENTA15 et** **HEXA20** **) – même maillage que la modélisation N** Maillage obtenu par extrusion à partir d’un maillage :math:`>` ressemblant au maillage ci-dessous (8 éléments dans la direction radiale, :math:`>` éléments dans la direction circonférentielle) et dupliqué pour avoir une section complète du cylindre (sur 360°). +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | Suivant l’axe :math:`>` : | 1 couche d’éléments | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | Epaisseur totale : | :math:`>` | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | | | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | Conditions limites: | | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | | | | +------------------------------------------------------------------------------------------------------------+------------------------------------+---------------------+--+ | | face :math:`>` bloquée normalement | +------------------------------------------------------------------------------------------------------------+------------------------------------+---------------------+--+ | face :math:`>` bloquée en :math:`>` | | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | pression sur la face :math:`>` | :math:`>` | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | effet de fond sur les sections | :math:`>` | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | | | | +-------------------------------------------------------------------------------------------------------------------------------------------------+---------------------+--+ | Avec :math:`>` : pression fonction linéaire du temps valant :math:`>` à :math:`>` et :math:`>` à :math:`>` | | +-----------------------------------------------------------------------------------------------------------------------------------------------------------------------+--+ .. csv-table:: "Noms des nœuds:", ":math:`>`", ":math:`>`", ":math:`>`", "" "", ":math:`>`", ":math:`>`", ":math:`>`", "" **Caractéristiques du maillage** Nombre de nœuds: 8832 Nombre de mailles et types: 1024 PENTA15, 512 HEXA20, 1176 QUAD8 et 2048 TRIA6. **Remarques** Contrairement à la modélisation N, on teste ici une pression et un effet de fond variables en fonction du temps. Une variation linéaire de la pression entraîne une variation linéaire des contraintes. **Grandeurs testées et résultats** .. _DdeLink__14869_13307708113212111: .. _DdeLink__14869_133077081132121111: .. _DdeLink__14869_133077081114212111: .. _DdeLink__14869_1330770811142121111: .. _DdeLink__14869_13307708111112212111: .. _DdeLink__14869_133077081111122121111: .. _DdeLink__14869_133077081112122212111: .. _DdeLink__14869_1330770811121222121111: .. csv-table:: "**Localisation**", "**Grandeur**", "**Valeur de référence**", "**Type de référence**", "**Tolérance**" "point :math:`>`", "", "", "", "" "Instant 1.0", "Champ DEPL, comp. :math:`>`", "5.60 10-5", "'NON_DEFINI'", "0,1%" "Instant 1.0", "Champ DEPL, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-10 (absolu)" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "–60.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "100.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "–120.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "200.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "Instant 1.0", "Champ DEPL, comp. :math:`>`", "3.4 10-5", "'NON_DEFINI'", "0,1%" "Instant 1.0", "Champ DEPL, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-10 (absolu)" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "0,1(absolu)" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "0,1(absolu)" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "80.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "0.", "'NON_DEFINI'", "1E-4 (absolu)" ":math:`>`", "", "", "", "" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "2%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "2%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "–80.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "2%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "2%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "–160.", "'NON_DEFINI'", "1%" ":math:`>`", "", "", "", "" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "20.", "'NON_DEFINI'", "1%" "Instant 1.0", "Champ SIGM_NOEU, comp. :math:`>`", "-20.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "40.", "'NON_DEFINI'", "1%" "Instant 2.0", "Champ SIGM_NOEU, comp. :math:`>`", "-40.", "'NON_DEFINI'", "1%" **Synthèse des résultats** **Récapitulatif des erreurs max en %** .. csv-table:: "**3D**", "**Localisation**", "**mod A**", "**mod B**", "**mod C**", "**mod D**", "**mod L**", "**mod M**", "**mod N**", "**mod P**" "elem", "", "pe6,h8", "pe15,h20", "te4", "te10", "py5", "py13", "pe15,h20", "pe15,h20" "geom", "", "45°", "45°", "45°", "45°", "45°", "45°", "360°", "360°" "nb no", "", "1922", "2115", "1115", "1395", "342", "1703", "8832", "8832" "Dépl.", "A, E B, F", "0.08 0.10", "0.09 0.07", "0.17 0.30", "0.04 0.04", "0.21 0.16", "0.00 0.00", "0.00 0.00", "0.00 0.00" ":math:`>`", "A, E B, F", "4.59 5.24", "0.39 0.07", "10.45 7.78", "4.41 0.95", "11.74 5.24", "0.11 0.11", "1.64 0.09", "1.64 0.09" ":math:`>`", "A, E B, F", "5.70 1.89", "0.92 0.01", "9.46 2.46", "1.80 0.49", "57.57 4.75", "0.81 0.08", "1.64 0.09", "1.64 0.09" ":math:`>`", "A, E B, F", "Bon Bon", "Bon Bon", "Bon Bon", "Bon Bon", "Bon Bon", "Bon Bon", "0.87 0.04", "0.87 0.04" ":math:`>`", "A, E B, F", "0.15 0.90", "0.26 0.06", "2.89 0.81", "0.27 0.28", "3.46 4.95", "0.07 0.09", "0.03 0.01", "0.03 0.01" .. csv-table:: "**C_PLAN**", "**Localisation**", "**mod E**", "**mod F**", "**mod G**", "**mod O**" "Type d’éléments", "", "tria3,quad4", "tria6,quad8", "quad9", "tria6,quad8" "Géométrie modélisée", "", "45°", "45°", "45°", "360°" "Nombre de noeuds", "", "961", "591", "441", "384" "Déplacements", "A, E B, F", "0.07 0.09", "0.09 0.07", "0.00 0.00", "0.01 0.00" "Contraintes :math:`>`", "A, E B, F", "4.65 5.19", "0.39 0.06", "0.27 0.02", "1.44 0.08" "Contraintes :math:`>`", "A, E B, F", "5.68 1.40", "0.90 0.04", "0.16 0.05", "1.44 0.08" "Contraintes :math:`>`", "A, E B, F", "Bon Bon", "Bon Bon", "Bon Bon", "Bon Bon" "Contraintes :math:`>`", "A, E B, F", "0.16 1.23", "0.23 0.07", "0.20 0.09", "0.10 0.00" .. csv-table:: "**AXIS**", "**Localisation**", "**mod H**", "**mod I**", "**mod J**" "Type d’éléments", "", "tria3,quad4", "tria6,quad8", "quad9" "Nombre de noeuds", "", "113", "175", "205" "Déplacements", "A, E B, F", "0.01 0.01", "0.00 0.00", "0.00 0.00" "Contraintes :math:`>`", "A, E B, F", "5.66 Bon", "0.17 Bon", "0.17 Bon" "Contraintes :math:`>`", "A, E B, F", "Bon Bon", "Bon Bon", "Bon Bon" "Contraintes :math:`>`", "A, E B, F", "1.29 1.00", "0.09 0.07", "0.09 0.02" "Contraintes :math:`>`", "A, E B, F", "Bon Bon", "Bon Bon", "Bon Bon" * Les résultats sont plus précis avec des éléments d'ordre 2. * Le problème est plus adapté à une modélisation axisymétrique. Les résultats sont meilleurs. * Les maillages restent insuffisants pour les éléments 3D d'ordre 1: contraintes et déformations des modélisations A, C, E et L (surtout pour la modélisation L en PYRAM5). * Les pyramides donnent des résultats analogues aux autres éléments 3D, à maillage équivalent. * Les modélisations N et P avec effet de fond et pression constants ou variables donnent de bon résultats.