.. _V7.22.101:

**v7.22.101** HSNV101 - Thermo-plasticity and metallurgy decoupled in simple traction
=======================================================================================

**Summary:**

We treat the determination of the mechanical evolution of a cylindrical bar subjected to known and uniform thermal :math:`T(t)` and metallurgical :math:`Z(t)` evolutions (metallurgical transformation is of the bainitic type).

The elements used are axisymmetric elements and the behavioral relationship is the VonMises plasticity with linear isotropic work hardening (for modellingB, transformation plasticity is also taken into account).

The elastic limit and the slope of the tensile curve depend on temperature and metallurgical composition.

The expansion coefficient :math:`\alpha` depends on the metallurgical composition.

Metallurgical transformations take place at :math:`{\dot{\epsilon }}^{p}=0` (this is in the sense that the test **decouples** the transformation plasticity from the classical plasticity).

The results provided by*Code_Aster* are very satisfactory with errors less than :math:`\text{2 \%}`.

A, B, D models use meshes composed of two QUAD8 cells, C models use TRIA6 cells, and E models validate metallurgy on hardware points.

Models A, C, and E use behavior META_P_IL, modeling B validates behavior META_P_IL_PT, and modeling D uses META_P_CL.


.. toctree::
    :hidden:

    self

.. toctree::
    :maxdepth: 2
    :numbered:

    Probl_me_de_r_f_rence
    Solution_de_r_f_rence
    Mod_lisation_A
    Mod_lisation_B
    Mod_lisation_C
    Mod_lisation_D
    Mod_lisation_E
    Synth_se_des_r_sultats