An X-FEM approach for large sliding contact along discontinuities

Ionel Nistor (1) , Martin Guiton (1) , Patrick Massin (2) , Nicolas Moes (3) , Samuel Géniaut (2)

1 IFPEN - IFP Energies nouvelles
2 LAMSID - UMR 8193 - Laboratoire de Mécanique des Structures Industrielles Durables
3 GeM - Institut de Recherche en Génie Civil et Mécanique

The extended finite element method (X-FEM) has been developed to minimize requirements on the mesh design in a problem with a displacement discontinuity. This advantage, however, still remains limited to the small deformation hypothesis when considering sliding discontinuities. The approach presented in this paper proposes to couple X-FEM with a Lagrangian large sliding frictionless contact algorithm. A new hybrid X-FEM contact element was developed with a contact search algorithm allowing for all update of contacting surfaces pairing. The stability of the contact formulation is ensured by an algorithm for fulfilling Ladyzhenskaya-Babuska-Brezzi (LBB) condition. Several 2D simple examples are presented in this paper in order to prove its efficiency and stability.

Mots clés: X-FEM; contact; large sliding; X-FEM

Domaines: Mécanique [physics.med-ph]; Matériaux

Ionel Nistor, Martin Guiton, Patrick Massin, Nicolas Moes, Samuel Géniaut. An X-FEM approach for large sliding contact along discontinuities. International Journal for Numerical Methods in Engineering, 2009, 78 (12), pp.1407-1435. ⟨10.1002/nme.2532⟩. ⟨hal-01005241⟩