Modélisation A
==============


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


.. image:: images/1000031600001E2E00001F366FFE4AFEE07A4479.svg
    :width: 389
    :height: 402


.. _RefImage_1000031600001E2E00001F366FFE4AFEE07A4479.svg:


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

Nombre de noeuds: 23.

Nombre de mailles et types: 4 QUAD8.


Résultats et grandeurs testées
------------------------------


.. csv-table::

    "**Identification**", "**Référence**", "**Aster**", "**% différence**", "**tolérance**"
    ":math:`A` :math:`{\sigma}_{\mathrm{rr}}`", "–1.00003", "–1.06833", "6.83", "7.0"
    ":math:`{\sigma}_{\theta \theta }`", "–4.43821", "–4.46731", "0.66", "2.0"
    ":math:`{\sigma}_{zz}`", "0.19518", "0.16596", "14.9", "15.0"
    ":math:`{e}_{\mathrm{rel}}`", "", "2.37%", "", "5.0"
    ":math:`E` mat. 1 :math:`{\sigma}_{\mathrm{rr}}`", "–1.95508", "–1.97893", "1.22", "2.0"
    ":math:`{\sigma}_{\theta \theta }`", "–3.48316", "–3.49330", "0.29", "2.0"
    ":math:`{\sigma}_{zz}`", "0.19518", "0.18498", "5.22", "6.0"
    ":math:`{e}_{\mathrm{rel}}`", "", "1.05%", "", "5.0"
    ":math:`E` mat. 2 :math:`{\sigma}_{\mathrm{rr}}`", "–1.95508", "–1.98398", "1.48", "2.0"
    ":math:`{\sigma}_{\theta \theta }`", "–2.16049", "–2.13394", "1.23", "2.0"
    ":math:`{\sigma}_{zz}`", "–0.32135", "–0.32204", "0.22", "2.0"
    ":math:`{e}_{\mathrm{rel}}`", "", "0.152%", "", "5.0"
    ":math:`B` :math:`{\sigma}_{\mathrm{rr}}`", "–1.99999", "–2.00095", "0.048", "2.0"
    ":math:`{\sigma}_{\theta \theta }`", "–2.11555", "–2.11595", "0.012", "2.0"
    ":math:`{\sigma}_{zz}`", "–0.32135", "–0.32174", "0.12", "2.0"
    ":math:`{e}_{\mathrm{rel}}`", "", "0.057%", "", "5.0"



Remarques
---------

Le maillage étant grossier (4 éléments suivant :math:`\text{Or}` ), certaines contraintes près de l'axe d'axisymétrie sont mal approximées. Le saut de :math:`{\sigma}_{\theta \theta }` et :math:`{\sigma}_{zz}` à l'interface des 2 matériaux est par contre bien décelé.


Remarques
---------

Erreur relative estimée globale= 1.40%.