.. _V6.04.254:

**v6.04.254** SSNV25 4 — Elementary validation of the damage law GTN in plane deformation with simulations of a volume element under simple tension
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**Summary:**

This test case makes it possible to validate the algorithm for integrating the local and gradient Gurson—Tvergaard—Needleman damage law (:math:`\mathit{GTN}`) with underintegrated or mixed standard finite elements in large deformations. A volume element is modelled in simple traction.

The various models treated are:


* **Modeling A** (:math:`2D`): D_ PLAN_SI.


* **Modeling** **B** (:math:`2D`): D_ PLAN_GRAD_VARI.


* **Modeling** **C** (:math:`2D`): D_ PLAN_GRAD_INCO.


* **Modeling** **D** (:math:`3D`): 3D_SI.


* **Modeling** **E** (:math:`3D`): 3D_ GRAD_VARI.


* **Modeling** **F** (:math:`3D`): 3D_ GRAD_INCO.


.. 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
    Synth_se_des_r_sultats