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 \(\mathrm{2D}\) (linear elements SEG2):

  • modeling A: METHODE =” CONTINUE “. The method of integration by sub-elements also proposed by Bathe [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 \(\mathrm{2D}\) (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 \(\mathrm{3D}\) (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 \(\mathrm{3D}\) are HEXA27,

  • R modeling: METHODE =” CONTINUE “. The contact surfaces are composed of elements TRIA6 facing each other of elements TRIA6, the cells \(\mathrm{3D}\) are PENTA18,

and four models in \(\mathrm{3D}\) (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.