Numerical investigation of contact/impact problems between deformable bodies

Benoit Magnain (1) , Zhi-Qiang Feng (1) , Jean-Michel Cros (1)

1 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry

The bi-potential method has been successfully applied to the modelling of frictional contact problems in static cases. This paper presents the extension of this method for dynamic analysis of impact problems. A first order algorithm is applied to the numerical integration of the time-dicretized equation of motion. The solution algorithm is simple and efficient. Two numerical examples are carried out in 2D: a longitudinal elastic impact between two slender bars and a more complex impact between two cylinders inside rigid walls.

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

Benoit Magnain, Zhi-Qiang Feng, Jean-Michel Cros. Numerical investigation of contact/impact problems between deformable bodies. 6th European Conference on Structural Dynamics (Eurodyn 2005), European Association for Structural Dynamics, Sep 2005, Paris, France. ⟨hal-01825988⟩