.. _V6.03.123:

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**v6.03.123** SSNP123 - Elastoplasticity notched plate
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**Summary:**

This test in quasistatic plane deformations makes it possible to illustrate questions relating to incompressibility when using an elastoplastic behavior law: when the plasticity rate becomes important, non-physical stress oscillations may appear. It is shown that the use of sub-integrated QUAD4 and HEXA8 elements can overcome this problem.

It is a notched rectangular plate made of an elastoplastic material with isotropic work hardening which is subjected to traction at its ends. We are interested in the elastoplastic solution in charge.

Modeling A corresponds to the use of sub-integrated QUAD4 elements stabilized by the "assumed strain" method.

B modeling corresponds to the use of incompressible QUAD8 elements that make it possible to obtain a reference solution for modeling A.

C modeling corresponds to the use of sub-integrated HEXA8 elements stabilized by the "assumed strain" method.

D modeling corresponds to the use of incompressible HEXA20 elements that make it possible to obtain a reference solution for C modeling.

Moreover, the E to M models verify elements HHO and their robustness at the incompressible limit.


.. 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
    Synth_se_des_r_sultats