Modélisation A
==============


Caractéristiques de la modélisation
-----------------------------------

3D


.. image:: images/10000C3000000C8100001354C0ABE89D0B5D2026.svg
    :width: 161
    :height: 249


.. _RefImage_10000C3000000C8100001354C0ABE89D0B5D2026.svg:

Découpage :

3 éléments en hauteur

2 éléments en largeur et épaisseur

mailles hexa20

Conditions limites:

.. csv-table::

    "sur l'axe :math:`\mathrm{AB}`", "DDL_IMPO: ( GROUP_NO:ABsansA DX=0., DY=0. )"
    "en :math:`A` et :math:`D`", "( NOEUD:A DX=0., DY=0., DZ=0. )
    ( NOEUD:D DY=0.)"



.. csv-table::

    "Noms des nœuds:", ":math:`A=\mathrm{N59}`", ":math:`B=\mathrm{N53}`", ":math:`C=\mathrm{N12}`"
    "", ":math:`D=\mathrm{N18}`", ":math:`E=\mathrm{N56}`", ":math:`X=\mathrm{N70}`"



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

Nombre de noeuds: 111

Nombre de mailles et types: 12 HEXA20


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


.. csv-table::

    "**Identification**", "**Référence**", "**Aster**", "**% différence**"
    ":math:`{U}_{B}`", "0.", "10–22", "-"
    ":math:`{V}_{B}`", "0.", "10–22", "-"
    ":math:`{W}_{B}`", "–1.72165510–6", "–1.721674 10–6", "0.001"
    ":math:`{U}_{C}`", "0.", "= 10–14", "-"
    ":math:`{V}_{C}`", "0.", "= 10–19", "-"
    ":math:`{W}_{C}`", "–1.715916 10–6", "–1.715935 10–6", "0.001"
    ":math:`{U}_{D}`", "-6.88662 10–8", "-6.88653 10–8", "0.001"
    ":math:`{V}_{D}`", "0.", "= 10–23", "-"
    ":math:`{W}_{D}`", "5.73885 10–9", "5.71514 10–9", "0.413"
    ":math:`{U}_{E}`", "0.", "= 10–22", ""
    ":math:`{V}_{E}`", "0.", "= 10–23", ""
    ":math:`{W}_{E}`", "–1.291241 10–6", "–1.291260 10–6", "0.002"
    ":math:`(\mathrm{Pa})`", "", "", ""
    "", "", "", ""
    ":math:`{\sigma}_{zz}` :math:`(A)`", "2.29554 105", "2.2956 105", "< 0.01"
    ":math:`{\sigma}_{zz}` :math:`(E)`", "1.14777 105", "1.14777 105", "< 0.01"
    ":math:`{\sigma}_{zz}` :math:`(X)`", "2.29554 105", "2.29549 105", "< 0.01"
    ":math:`{U}_{X}`", "0.", "10–20", "-"
    ":math:`{V}_{X}`", "-6.88662 10–8", "-6.886534 10–8", "-"
    ":math:`{W}_{X}`", "5.73885 10–8", "5.71514 10–9", "0.413"


La modélisation en HEXA20 est tout à fait acceptable pour ce maillage grossier.