A velocity and Level-Sets based approach of dynamic contact problems with applications

Hachmi Ben Dhia (1) , Chokri Zammali (1)

1 MSSMat - Laboratoire de mécanique des sols, structures et matériaux

By introducing unknown Level-Sets fields defined on contact interfaces, the Signorini-Moreau contact conditions and the Coulomb friction laws are written as equations. From this, a continuous weak-strong formulation of dynamic frictional contact problems is derived; the Level-Sets being the intrinsic contact unknown fields. The problem is then discretized by time, space and collocation schemes. Some numerical tests are carried out, showing the effectiveness of our global approach. The paper is ended by showing a promising application of the multiscale Arlequin method to contact-impact problems.

Domains: Engineering Sciences [physics]; Mechanics [physics.med-ph]; Structural mechanics [physics.class-ph]; Physics [physics]; Mechanics [physics]; Structural mechanics [physics.class-ph]

Hachmi Ben Dhia, Chokri Zammali. A velocity and Level-Sets based approach of dynamic contact problems with applications. A velocity and Level-Sets based approach of dynamic contact problems with applications, Sep 2004, France. pp.1-10. ⟨hal-00606848⟩