.. _V7.22.100:

**v7.22.100** HSNV100 - Thermoplasticity in simple traction
============================================================

**Summary:**

This test treats Von Mises thermoplasticity with isotropic work hardening on a three-dimensional problem (modeling :math:`A` in axisymmetric) and two-dimensional problem (modeling :math:`B` in plane constraints). The advantage of the test lies in the dependence of the elastic limit on temperature. It also makes it possible to test orthotropy in thermoelasticity because it is applied to an isotropic material and then to an isotropic material declared orthotropic.

The calculation of the deformation energy is also tested there.

Two models (:math:`C` with element TUYAU, :math:`D` with element TUYAU_6M) are added to test thermoplasticity in these elements.

Modeling :math:`E` makes it possible to test the correct consideration of the variation of the coefficients of behavior VMIS_CINE_LINE with temperature (axisymmetric).

Modeling :math:`F` makes it possible to test the calculation of the thermoelastic deformation energy in beams (modeling POU_D_T).

Modeling :math:`G` makes it possible to test the same functionalities as models :math:`A` and :math:`B`, but with 3D modeling.

The models :math:`H` and :math:`I` make it possible to test, using 3D modeling and plane constraints, an initial loading in an anelastic deformation field. This is equivalent to thermal deformation.

Modeling :math:`J` comes from modeling :math:`G`, and makes it possible to validate the functionalities of SIMU_POINT_MAT in thermo-plasticity.

Modeling :math:`K` comes from modeling :math:`A`, and makes it possible to validate option AFFE_CHAR_TEMP_R from modeling AXIS_INCO_UPG with DEFORMATION =' PETIT '. Same for models :math:`L` and :math:`M` but for 3D_ INCO_UPG with DEFORMATION =' PETIT '.

Modeling :math:`N` comes from modeling :math:`A`, and makes it possible to validate option AFFE_CHAR_TEMP_R from modeling AXIS_INCO_UP. Same for models :math:`O` and :math:`P` but for 3D_ INCO_UP.

Modeling :math:`Q` comes from modeling :math:`A`, and makes it possible to validate option AFFE_CHAR_TEMP_R from modeling AXIS_INCO_UPG with DEFORMATION =' SIMO_MIEHE '. Same for models :math:`R` and :math:`S` but for 3D_ INCO_UPG with DEFORMATION =' SIMO_MIEHE '.

Modeling :math:`T` comes from modeling :math:`A`, and makes it possible to validate option AFFE_CHAR_TEMP_R from modeling AXIS_INCO_UPG with DEFORMATION =' GDEF_LOG '. Same for models :math:`U` and :math:`V` but for 3D_ INCO_UPG with DEFORMATION =' GDEF_LOG '.

Modeling :math:`W` comes from modeling :math:`A`, and makes it possible to validate option AFFE_CHAR_TEMP_R from modeling AXIS_INCO_UP. Same for models :math:`X` and :math:`Y` but for 3D_ INCO_UP.

Modeling :math:`Z` comes from modeling :math:`A`, and makes it possible to validate the code coupling in MPI.

The solution is analytical.

.. 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
    Mod_lisation_F
    Mod_lisation_G
    Mod_lisation_H
    Mod_lisation_I
    Mod_lisation_J
    Mod_lisation_K
    Mod_lisation_L
    Mod_lisation_M
    Mod_lisation_N
    Mod_lisation_O
    Mod_lisation_P
    Mod_lisation_Q
    Mod_lisation_R
    Mod_lisation_S
    Mod_lisation_T
    Mod_lisation_U
    Mod_lisation_V
    Mod_lisation_W
    Mod_lisation_X
    Mod_lisation_Y
    Modelisation_Z
    Synth_se_des_r_sultats
    Annexe