Modélisation B
==============


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

Le maillage et les données sont identiques à la modélisation A; la seule différence vient du comportement META_P_IL_PT (prise en compte de la plasticité de transformation)


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


.. csv-table::

    "**Identification**", "**Référence**", "**Test**", "**Tolérance**"
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=47s`", "0", "ANALYTIQUE", "0.1 %"
    ":math:`\chi` :math:`t=47s`", "0", "ANALYTIQUE", "0.1 %"
    ":math:`{\sigma}_{zz}` :math:`t=47s`", "282. 106", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}` :math:`t=47s`", "-4.1125 10–3", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{th}}` :math:`t=47s`", "-0.0055225", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{meca}}` :math:`t=47s`", "0.00141", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{plas}}` :math:`t=47s`", "0", "ANALYTIQUE", "0.1 %"
    "", "", "", ""
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=48s`", "3.2653 10–3", "ANALYTIQUE", "1.1%"
    ":math:`\chi` :math:`t=48s`", "1", "ANALYTIQUE", "0.1 %"
    ":math:`{\sigma}_{zz}` :math:`t=48s`", "288. 106", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}` :math:`t=48s`", "-9.3469 10–4", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{th}}` :math:`t=48s`", "-0.00564", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{meca}}` :math:`t=48s`", "0.004705", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{plas}}` :math:`t=48s`", "0.0032653", "ANALYTIQUE", "0.1 %"
    "", "", "", ""
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=60s`", "0.04", "ANALYTIQUE", "0.1 %"
    "", "", "", ""
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=64s`", "0.04", "ANALYTIQUE", "0.1 %"
    ":math:`\chi` :math:`t=64s`", "0", "ANALYTIQUE", "0.1 %"
    ":math:`{\sigma}_{zz}` :math:`t=64s`", "360. 106", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}` :math:`t=64s`", "4.00085 10–2", "ANALYTIQUE", "0.2 %"
    ":math:`{\epsilon}_{zz}^{\mathit{th}}` :math:`t=64s`", "-0.007117", "ANALYTIQUE", "0.2 %"
    ":math:`{\epsilon}_{zz}^{\mathit{meca}}` :math:`t=64s`", "0.047125", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{plas}}` :math:`t=64s`", "0.04533", "ANALYTIQUE", "0.1 %"
    "", "", "", ""
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=114s`", "0.041071", "ANALYTIQUE", "0.1 %"
    ":math:`\chi` :math:`t=114s`", "1", "ANALYTIQUE", "0.1 %"
    ":math:`{\sigma}_{zz}` :math:`t=114s`", "360. 106", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}` :math:`t=114s`", "0.072841", "ANALYTIQUE", "2.0 %"
    ":math:`{\epsilon}_{zz}^{\mathit{th}}` :math:`t=114s`", "-0.00603", "ANALYTIQUE", "0.1 %"
    ":math:`{\epsilon}_{zz}^{\mathit{meca}}` :math:`t=114s`", "0.07887", "ANALYTIQUE", "2.0 %"
    ":math:`{\epsilon}_{zz}^{\mathit{plas}}` :math:`t=114s`", "0.07707", "ANALYTIQUE", "2.0 %"
    "", "", "", ""
    ":math:`{\epsilon}_{zz}^{p}` :math:`t=176s`", "0.062069", "ANALYTIQUE", "0.1 %"



Remarques
---------

Dans cette modélisation, on prend en compte le terme dû à la plasticité de transformation:

:math:`{\dot{\epsilon}}^{\mathit{pt}}(T,Z)\ne 0` lorsque :math:`\dot{Z}\mathrm{\ne }0`