Modélisation C
==============


Caractéristiques de la modélisation : d-plan (QUAD9)
----------------------------------------------------

Conditions limites:

.. csv-table::

    "côté :math:`\mathrm{AB}`", "DDL_IMPO = ( GROUP_NO = bordAB DY = 0. )"
    "côté :math:`\mathrm{EF}`", "FACE_IMPO = ( GROUP_MA = faceEF DNOR = 0. )"
    "pression sur :math:`\mathrm{AE}`", "PRES_REP = ( GROUP_MA = faceAE PRES = 60. )"



.. csv-table::

    "Noms des nœuds:", ":math:`A=\mathrm{N1}`", ":math:`B=\mathrm{N47}`", ":math:`C=\mathrm{N351}`"
    "", ":math:`D=\mathrm{N374}`", ":math:`E=\mathrm{N569}`", ":math:`F=\mathrm{N423}`"



Caractéristiques du maillage
----------------------------

Nombre de nœuds: 725

Nombre de mailles et types: 168 QUAD9


Grandeurs testées et résultats
------------------------------


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.. csv-table::

    "**Localisation**", "**Grandeur**", "**V** aleur de r **éférence**", "**Type de référence**", "**Tolérance**"
    "point :math:`A`", "", "", "", ""
    "-", "Champ DEPL, comp. :math:`X`", "5.7210-5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "0.", "'ANALYTIQUE'", "1E-10 (absolu)"
    "Maille M1", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "–60.", "'ANALYTIQUE'", "1%"
    "Maille M1", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "100.", "'ANALYTIQUE'", "1%"
    "Maille M1", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "5%"
    "Maille M1", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "0.", "'ANALYTIQUE'", "1E-2(absolu)"
    ":math:`B`", "", "", "", ""
    "-", "Champ DEPL, comp. :math:`X`", "3.6410-5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "0.", "'ANALYTIQUE'", "1E-10 (absolu)"
    "Maille M12", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "0.", "'ANALYTIQUE'", "0,1(absolu)"
    "Maille M12", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "40.", "'ANALYTIQUE'", "1%"
    "Maille M12", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "1%"
    "Maille M12", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "0.", "'ANALYTIQUE'", "1E-2(absolu)"
    ":math:`C`", "", "", "", ""
    "-", "Champ DEPL, comp. :math:`X`", "5.2845910–5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "2.1889510–5", "'ANALYTIQUE'", "1%"
    "Maille M73", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "-36.56854", "'ANALYTIQUE'", "2%"
    "Maille M85", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "-36.56854", "'ANALYTIQUE'", "2%"
    "Maille M73", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "76.56854", "'ANALYTIQUE'", "1%"
    "Maille M85", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "76.56854", "'ANALYTIQUE'", "1%"
    "Maille M73", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "3%"
    "Maille M85", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "3%"
    "Maille M73", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-56.56854", "'ANALYTIQUE'", "1%"
    "Maille M85", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-56.56854", "'ANALYTIQUE'", "1%"
    ":math:`D`", "", "", "", ""
    "-", "Champ DEPL, comp. :math:`X`", "3.3629210–5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "1.3929710–5", "'ANALYTIQUE'", "1%"
    "Maille M84", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "5.85786", "'ANALYTIQUE'", "2%"
    "Maille M96", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "5.85786", "'ANALYTIQUE'", "2%"
    "Maille M84", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "34.14214", "'ANALYTIQUE'", "1%"
    "Maille M96", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "34.14214", "'ANALYTIQUE'", "1%"
    "Maille M84", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "1%"
    "Maille M96", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "1%"
    "Maille M84", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-14.14213", "'ANALYTIQUE'", "1%"
    "Maille M96", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-14.14213", "'ANALYTIQUE'", "1%"
    ":math:`E`", "", "", "", ""
    "-", "Champ DEPL, comp. :math:`X`", "4.0446510–5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "4.0446510–5", "'ANALYTIQUE'", "1%"
    "Maille M136", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "20.", "'ANALYTIQUE'", "3%"
    "Maille M136", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "20.", "'ANALYTIQUE'", "3%"
    "Maille M136", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "3%"
    "Maille M136", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-80.", "'ANALYTIQUE'", "1%"
    ":math:`F`", "", "", "'ANALYTIQUE'", ""
    "-", "Champ DEPL, comp. :math:`X`", "2.5738710–5", "'ANALYTIQUE'", "1%"
    "-", "Champ DEPL, comp. :math:`Y`", "2.5738710–5", "'ANALYTIQUE'", "1%"
    "Maille M102", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXX}`", "20.", "'ANALYTIQUE'", "1%"
    "Maille M102", "Champ SIGM_ELNO, comp. :math:`\mathit{SIYY}`", "20.", "'ANALYTIQUE'", "1%"
    "Maille M102", "Champ SIGM_ELNO, comp. :math:`\mathit{SIZZ}`", "12.", "'ANALYTIQUE'", "1%"
    "Maille M102", "Champ SIGM_ELNO, comp. :math:`\mathit{SIXY}`", "-20.", "'ANALYTIQUE'", "1%"



Remarques
---------

L'évolution de l'erreur induite par le maillage suivant :math:`\mathrm{AB}` , :math:`\mathrm{CD}` ou :math:`\mathrm{EF}` , est nettement atténuée par rapport à la modélisation A.