.. _V6.03.121:

**v6.03.121** SSNP121 — Integration of contact terms in 2D and 3D
======================================================================

**Summary:**

This problem corresponds to a semi-static analysis of a mechanical problem with frictionless contact. We are particularly interested here in the integration of contact terms (*patch-test*). It is a question of studying two identical blocks meshed differently and subject to imposed symmetric movements.

This test includes six models in :math:`\mathrm{2D}` (linear elements SEG2):


* modeling A: METHODE =' CONTINUE '. The method of integration by sub-elements also proposed by Bathe [:ref:`bib1 <bib1>`] is used with three sub-elements,


* B modeling: METHODE =' CONTRAINTE ',


* C modeling: METHODE =' PENALISATION ',


* G modeling: METHODE =' CONTINUE '. A variant of modeling A where we test the initial activation of the contact status.


* L modeling: METHODE =' GCP ',


* P modeling: METHODE =' CONTINUE '. A variant of G modeling where we test the contact penalty algorithm.

a modeling in :math:`\mathrm{2D}` (linear elements SEG2 facing each other with quadratic elements SEG3):


* H modeling: METHODE =' CONTINUE '. The contact surfaces are composed of elements SEG2 facing each other of elements SEG3,

six models in :math:`\mathrm{3D}` (quadratic elements):


* D modeling: METHODE =' CONTINUE '. The contact surfaces are composed of elements QUAD8 facing each other of elements QUAD8,


* modeling E: METHODE =' CONTINUE '. The contact surfaces are composed of elements TRIA6 facing each other of elements TRIA6,


* modeling F: METHODE =' CONTINUE '. The contact surfaces are composed of TRIA6 elements facing each other of QUAD8 elements.


* Q modeling: METHODE =' CONTINUE '. The contact surfaces are composed of elements QUAD9 facing each other of elements QUAD9, the cells :math:`\mathrm{3D}` are HEXA27,


* R modeling: METHODE =' CONTINUE '. The contact surfaces are composed of elements TRIA6 facing each other of elements TRIA6, the cells :math:`\mathrm{3D}` are PENTA18,

and four models in :math:`\mathrm{3D}` (linear elements facing each other with quadratic elements):


* modeling I: METHODE =' CONTINUE '. The contact surfaces are composed of elements QUAD4 facing each other of elements QUAD8,


* J modeling: METHODE =' CONTINUE '. The contact surfaces are composed of elements TRIA3 facing each other of elements TRIA6,


* K modeling: METHODE =' CONTINUE '. The contact surfaces are composed of TRIA3 elements facing each other of QUAD8 elements.


.. 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_P
    Mod_lisation_Q
    Mod_lisation_R
    Mod_lisation_S
    Synth_se_des_r_sultats