On the discretization of contact problems in elastodynamics

Houari Boumediène Khenous (1) , Patrick Laborde (2) , Yves Renard (3)

1 INSA Toulouse - Institut National des Sciences Appliquées - Toulouse
2 IMT - Institut de Mathématiques de Toulouse UMR5219
3 MIP - Mathématiques pour l'Industrie et la Physique

In this work, we will presente a comparison of two formulation for the discretization of elastodynamic contact problems. The first approach consists on a midpoint scheme and a contact condition expressed in terms of velocity. This approach gives an energy conserving scheme. The second one we propose is a new distribution of the solid mass. The problem expressed with the new mass matrix is well posed, energy conserving and has a lipschitz solution. Finally, some numerical results are presented.

Domaines: Mécanique des structures [physics.class-ph]

Houari Boumediène Khenous, Patrick Laborde, Yves Renard. On the discretization of contact problems in elastodynamics. Wriggers P; Nackenhorst U. Analysis and Simulation of Contact Problems, 27, Springer, pp.31-38, 2006, Lecture Notes in Applied and Computational Mechanics, 9783540317616. ⟨10.1007/3-540-31761-9_4⟩. ⟨hal-01725015⟩