Mass redistribution method for finite element contact problems in elastodynamics

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

1 MIP - Mathématiques pour l'Industrie et la Physique

This paper is devoted to a new method dealing with the semi-discretized finite element unilateral contact problem in elastodynamics. This problem is ill-posed mainly because the nodes on the contact surface have their own inertia. We introduce a method based on an equivalent redistribution of the mass matrix such that there is no inertia on the contact boundary. This leads to a mathematically well-posed and energy conserving problem. Finally, some numerical tests are presented.

Mots clés: Elasticity; Physical Sciences; Unilateral contact; Time integration schemes; Energy conservation; Stability; Mass redistribution method

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

Houari Boumediène Khenous, Patrick Laborde, Yves Renard. Mass redistribution method for finite element contact problems in elastodynamics. European Journal of Mechanics - A/Solids, 2009, 27 (5), pp.918-932. ⟨10.1016/j.euromechsol.2008.01.001⟩. ⟨hal-00582045⟩