A non-symmetric integral approximation of large sliding frictional contact problems of deformable bodies based on ray-tracing

Poulios Konstantinos (1) , Yves Renard (2, 3)

1 Department of Mechanical Engineering
2 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]
3 ICJ - Institut Camille Jordan

In this paper a new approximation of frictional contact problems in finite deformation and large sliding is presented. The proposed method is based on an integral formulation and uses ray-tracing instead of a classical projection for defining a gap function. Compared to equivalent projection based formulations, the proposed method is more robust by being less sensitive to discretization discontinuities and permits a more efficient implementation. Appropriate mathematical treatment yields a tangent system which is simpler than in equivalent projection based formulations. The robustness and locking-free characteristics of the method are illustrated on some classical benchmark tests.

Mots clés: frictional contact; finite elasticity; large sliding contact; finite element method

Domaines: Analyse numérique [math.NA]; Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

Poulios Konstantinos, Yves Renard. A non-symmetric integral approximation of large sliding frictional contact problems of deformable bodies based on ray-tracing. 2014. ⟨hal-00937569v1⟩