Modélisation A ============== Caractéristiques de la modélisation A ------------------------------------- Les caractéristiques sont identiques à la solution de référence. La modélisation utilisée est de type D_PLAN_HM. Le maillage est représenté sur la . Dans cette modélisation, :math:`\mathit{LX}=\mathrm{4m}` et :math:`{L}_{d}=2m` , la discontinuité est ainsi conforme au maillage. .. image:: images/1000020100000225000003376416021C7B2810C7.png :width: 2.7425in :height: 4.0161in .. _RefImage_1000020100000225000003376416021C7B2810C7.png: Figure 3.1-1maillage 2D modélisation A Grandeurs testées et résultats ------------------------------ Dans la colonne de gauche, on teste la pression de pore PRE1et la contrainte SIYY à l'instant final :math:`t=\mathrm{250s}` à différentes hauteurs dans la colonne. Les résultats obtenus sont similaires à ceux obtenus pour une modélisation D_PLAN_HM classique mais légèrement moins précis que ceux obtenus avec une modélisation D_PLAN_HMD classique dans le haut de la colonne. .. csv-table:: "**Valeur testée**", "**Hauteur (m)**", "**Instant (s)**", "**Type**", "**Référence**" "Déplacement PRE1", "8.75", "0.", "ANALYTIQUE", "1.0" "Déplacement PRE1", "9.375", "0.", "ANALYTIQUE", "1.0" "Déplacement PRE1", "0.0", "250.", "ANALYTIQUE", "0.68544576689" "Déplacement PRE1", "0.625", "250.", "ANALYTIQUE", "0.682208147164" "Déplacement PRE1", "1.25", "250.", "ANALYTIQUE", "0.67252104433" "Déplacement PRE1", "1.875", "250.", "ANALYTIQUE", "0.656461946263" "Déplacement PRE1", "2.5", "250.", "ANALYTIQUE", "0.634160686593" "Déplacement PRE1", "3.125", "250.", "ANALYTIQUE", "0.605800331394" "Déplacement PRE1", "3.75", "250.", "ANALYTIQUE", "0.571618145927" "Déplacement PRE1", "4.375", "250.", "ANALYTIQUE", "0.531906397249" "Déplacement PRE1", "5.0", "250.", "ANALYTIQUE", "0.487012719208" "Déplacement PRE1", "5.625", "250.", "ANALYTIQUE", "0.437339762565" "Déplacement PRE1", "6.25", "250.", "ANALYTIQUE", "0.38334387542" "Déplacement PRE1", "6.875", "250.", "ANALYTIQUE", "0.32553260623" "Déplacement PRE1", "7.5", "250.", "ANALYTIQUE", "0.264460889851" "Déplacement PRE1", "8.125", "250.", "ANALYTIQUE", "0.200725860656" "Déplacement PRE1", "8.75", "250.", "ANALYTIQUE", "0.134960328921" "Déplacement PRE1", "9.375", "250.", "ANALYTIQUE", "0.0678250497631" "Déplacement PRE1", "10.0", "250.", "ANALYTIQUE", "0.00" "Contrainte SIYY", "8.75", "0.00", "ANALYTIQUE", "0.00" "Contrainte SIYY", "0.0", "250.", "ANALYTIQUE", "-0.31455423311" "Contrainte SIYY", "0.625", "250.", "ANALYTIQUE", "-0.317791852836" "Contrainte SIYY", "1.25", "250.", "ANALYTIQUE", "-0.32747895567" "Contrainte SIYY", "1.875", "250.", "ANALYTIQUE", "-0.343538053737" "Contrainte SIYY", "2.5", "250.", "ANALYTIQUE", "-0.365839313407" "Contrainte SIYY", "3.125", "250.", "ANALYTIQUE", "-0.394199668606" "Contrainte SIYY", "3.75", "250.", "ANALYTIQUE", "-0.428381854073" "Contrainte SIYY", "4.375", "250.", "ANALYTIQUE", "-0.468093602751" "Contrainte SIYY", "5.0", "250.", "ANALYTIQUE", "-0.512987280792" "Contrainte SIYY", "5.625", "250.", "ANALYTIQUE", "-0.562660237435" "Contrainte SIYY", "6.25", "250.", "ANALYTIQUE", "-0.61665612458" "Contrainte SIYY", "6.875", "250.", "ANALYTIQUE", "-0.67446739377" "Contrainte SIYY", "7.5", "250.", "ANALYTIQUE", "-0.735539110149" "Contrainte SIYY", "8.125", "250.", "ANALYTIQUE", "-0.799274139344" "Contrainte SIYY", "8.75", "250.", "ANALYTIQUE", "-0.865039671079" "Contrainte SIYY", "9.375", "250.", "ANALYTIQUE", "-0.932174950237" "Contrainte SIYY", "10,0", "250.", "ANALYTIQUE", "-1,0" "Contrainte VMIS", "10,0", "250.", "NON_REGRESSION", "1.0" "Contrainte VMIS_SG", "10,0", "250.", "NON_REGRESSION", "-1.0" "Contrainte PRIN_1", "10,0", "250.", "NON_REGRESSION", "-1.0" "Contrainte PRIN_2", "10,0", "250.", "NON_REGRESSION", "0,00" "Contrainte PRIN_3", "10,0", "250.", "NON_REGRESSION", "0.00" "Contrainte TRESCA", "10,0", "250.", "NON_REGRESSION", "1.0" Les résultats obtenus pour la pression de pore à l'instant final :math:`t=\mathrm{250s}` sont représentés sur la . On observe bien une discontinuité nette de la pression de pore de part et d'autre de la fissure. Les QUAD8 centraux sont subdivisés en sous TRIA HM_XFEM. .. image:: images/10000201000005FD00000355CC4E5C59F63B44AA.png :width: 6.9756in :height: 3.8445in .. _RefImage_10000201000005FD00000355CC4E5C59F63B44AA.png: Figure 3.2-1Pression de pore à l'instant t=250s Dans la colonne de droite, on teste la pression de pore PRE1et la contrainte SIYY à l'instant final :math:`t=\mathrm{250s}` à différentes hauteurs dans la colonne. Les résultats obtenus sont similaires à ceux obtenus pour une modélisation D_PLAN_HM classique mais légèrement moins précis que ceux obtenus avec une modélisation D_PLAN_HMD classique dans le haut de la colonne. .. csv-table:: "**Valeur testée**", "**Hauteur (m)**", "**Instant (s)**", "**Type**", "**Référence**" "Déplacement PRE1", "8.75", "0.", "ANALYTIQUE", "1.54" "Déplacement PRE1", "9.375", "0.", "ANALYTIQUE", "1.54" "Déplacement PRE1", "0.0", "250.", "ANALYTIQUE", "1.055586481" "Déplacement PRE1", "0.625", "250.", "ANALYTIQUE", "1.050600547" "Déplacement PRE1", "1.25", "250.", "ANALYTIQUE", "1.035682408" "Déplacement PRE1", "1.875", "250.", "ANALYTIQUE", "1.010951397" "Déplacement PRE1", "2.5", "250.", "ANALYTIQUE", "0.9766074572" "Déplacement PRE1", "3.125", "250.", "ANALYTIQUE", "0.9329325102" "Déplacement PRE1", "3.75", "250.", "ANALYTIQUE", "0.8802919447" "Déplacement PRE1", "4.375", "250.", "ANALYTIQUE", "0.8191358517" "Déplacement PRE1", "5.0", "250.", "ANALYTIQUE", "0.7499995876" "Déplacement PRE1", "5.625", "250.", "ANALYTIQUE", "0.6735032343" "Déplacement PRE1", "6.25", "250.", "ANALYTIQUE", "0.5903495681" "Déplacement PRE1", "6.875", "250.", "ANALYTIQUE", "0.5013202135" "Déplacement PRE1", "7.5", "250.", "ANALYTIQUE", "0.4072697703" "Déplacement PRE1", "8.125", "250.", "ANALYTIQUE", "0.3091178253" "Déplacement PRE1", "8.75", "250.", "ANALYTIQUE", "0.207838906" "Déplacement PRE1", "9.375", "250.", "ANALYTIQUE", "0.104450576" "Déplacement PRE1", "10.0", "250.", "ANALYTIQUE", "0.00" "Contrainte SIYY", "8.75", "0.00", "ANALYTIQUE", "0.00" "Contrainte SIYY", "0.0", "250.", "ANALYTIQUE", "-0.484413519" "Contrainte SIYY", "0.625", "250.", "ANALYTIQUE", "-0.489399453" "Contrainte SIYY", "1.25", "250.", "ANALYTIQUE", "-0.504317591" "Contrainte SIYY", "1.875", "250.", "ANALYTIQUE", "-0.529048602" "Contrainte SIYY", "2.5", "250.", "ANALYTIQUE", "-0.563392542" "Contrainte SIYY", "3.125", "250.", "ANALYTIQUE", "-0.607067489" "Contrainte SIYY", "3.75", "250.", "ANALYTIQUE", "-0.659708055" "Contrainte SIYY", "4.375", "250.", "ANALYTIQUE", "-0.720864148" "Contrainte SIYY", "5.0", "250.", "ANALYTIQUE", "-0.790000412" "Contrainte SIYY", "5.625", "250.", "ANALYTIQUE", "-0.866496765" "Contrainte SIYY", "6.25", "250.", "ANALYTIQUE", "-0.949650431" "Contrainte SIYY", "6.875", "250.", "ANALYTIQUE", "-1.038679786" "Contrainte SIYY", "7.5", "250.", "ANALYTIQUE", "-1.13273023" "Contrainte SIYY", "8.125", "250.", "ANALYTIQUE", "-1.230882175" "Contrainte SIYY", "8.75", "250.", "ANALYTIQUE", "-1.332161093" "Contrainte SIYY", "9.375", "250.", "ANALYTIQUE", "-1.435549423" "Contrainte SIYY", "10,0", "250.", "ANALYTIQUE", "-1,54" "Contrainte VMIS", "10,0", "250.", "NON_REGRESSION", "1.54" "Contrainte VMIS_SG", "10,0", "250.", "NON_REGRESSION", "-1.54" "Contrainte PRIN_1", "10,0", "250.", "NON_REGRESSION", "-1.54" "Contrainte PRIN_2", "10,0", "250.", "NON_REGRESSION", "0,00" "Contrainte PRIN_3", "10,0", "250.", "NON_REGRESSION", "0.00" "Contrainte TRESCA", "10,0", "250.", "NON_REGRESSION", "1.54"