.. _V7.22.121:

**v7.22.121** HSNV121 - Traction in large plastic deformations of a bar under thermal loading
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**Summary:**

This semi-static thermomechanical test consists in uniformly heating a bar with a rectangular (:math:`\mathrm{3D}`) or cylindrical (:math:`\mathrm{2D}` axisymmetric) cross section and then subjecting it to traction. We thus validate the kinematics of large deformations in plasticity (command STAT_NON_LINE, keyword DEFORMATION: 'SIMO_MIEHE' or 'PETIT_REAC') for a behavior relationship under large deformations with linear isotropic work hardening (command STAT_NON_LINE, keyword RELATION: 'VMIS_ISOT_LINE' and 'VMIS_ISOT_TRAC') with thermomechanical loading. With shell or plate models, large plasticity deformations are accessible using the keyword DEFORMATION: 'PETIT_REAC' as long as the rotations remain low.

The bar is modeled by a solid element (HEXA20, ModelingA) or quadrangular element (QUAD4, for axisymmetric modeling, ModelB) or by plate or shell elements (DKT for modeling C) or by elements of a plate or shell (for modeling C and COQUE_3D for modeling D).

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_F
    Mod_lisation_G
    Synth_se_des_r_sultats