B modeling
==============


Characteristics of modeling
-----------------------------------

The mesh and the data are identical to modeling A; the only difference comes from behavior META_P_IL_PT (taking into account transformation plasticity)


Tested sizes and results
------------------------------


.. csv-table::

    "**Identification**", "**Reference**", "**Test**", "**Tolerance**"
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=47s` ", "0"," ANALYTIQUE ", "0.1%"
    ":math:`\chi` :math:`t=47s` ", "0"," ANALYTIQUE ", "0.1%"
    ":math:`{\sigma }_{\mathit{zz}}` :math:`t=47s` ", "282.106"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}` :math:`t=47s` ", "-4.125 10—3"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{th}}` :math:`t=47s` ", "-0.0055225"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{meca}}` :math:`t=47s` ", "0.00141"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{plas}}` :math:`t=47s` ", "0"," ANALYTIQUE ", "0.1%"
    "", "", "", ""
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=48s` ", "3.2653 10—3"," ANALYTIQUE "," 1.1%"
    ":math:`\chi` :math:`t=48s` ", "1"," ANALYTIQUE ", "0.1%"
    ":math:`{\sigma }_{\mathit{zz}}` :math:`t=48s` ", "288.106"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}` :math:`t=48s` ", "-9.3469 10—4"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{th}}` :math:`t\mathrm{=}48s` ", "-0.00564"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{meca}}` :math:`t\mathrm{=}48s` ", "0.004705"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{plas}}` :math:`t\mathrm{=}48s` ", "0.0032653"," ANALYTIQUE ", "0.1%"
    "", "", "", ""
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=60s` ", "0.04"," ANALYTIQUE ", "0.1%"
    "", "", "", ""
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=64s` ", "0.04"," ANALYTIQUE ", "0.1%"
    ":math:`\chi` :math:`t=64s` ", "0"," ANALYTIQUE ", "0.1%"
    ":math:`{\sigma }_{\mathit{zz}}` :math:`t=64s` ", "360.106"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}` :math:`t=64s` ", "4.00085 10—2"," ANALYTIQUE ", "0.2%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{th}}` :math:`t\mathrm{=}64s` ", "-0.007117"," ANALYTIQUE ", "0.2%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{meca}}` :math:`t\mathrm{=}64s` ", "0.047125"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{plas}}` :math:`t\mathrm{=}64s` ", "0.04533"," ANALYTIQUE ", "0.1%"
    "", "", "", ""
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=114s` ", "0.041071"," ANALYTIQUE ", "0.1%"
    ":math:`\chi` :math:`t=114s` ", "1"," ANALYTIQUE ", "0.1%"
    ":math:`{\sigma }_{\mathit{zz}}` :math:`t=114s` ", "360.106"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}` :math:`t=114s` ", "0.072841"," ANALYTIQUE ", "2.0%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{th}}` :math:`t\mathrm{=}114s` ", "-0.00603"," ANALYTIQUE ", "0.1%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{meca}}` :math:`t\mathrm{=}114s` ", "0.07887"," ANALYTIQUE ", "2.0%"
    ":math:`{\epsilon }_{\mathit{zz}}^{\mathit{plas}}` :math:`t=114s` ", "0.07707"," ANALYTIQUE ", "2.0%"
    "", "", "", ""
    ":math:`{\epsilon }_{\mathit{zz}}^{p}` :math:`t=176s` ", "0.062069"," ANALYTIQUE ", "0.1%"



notes
---------

In this modeling, the term due to transformation plasticity is taken into account:

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