The bi-potential method applied for the modeling of dynamic problems with friction

Zhi-Qiang Feng (1) , Pierre Joli (2) , Jean-Michel Cros (1) , Benoit Magnain (1)

1 LMEE - Laboratoire de Mécanique et d'Energétique d'Evry
2 IBISC - Informatique, Biologie Intégrative et Systèmes Complexes

The bi-potential method has been successfully applied to the modeling of frictional contact problems in static cases. This paper presents an extension of this method for dynamic analysis of impact problems with deformable bodies. A first order algorithm is applied to the numerical integration of the time-discretized equation of motion. Using the Object-Oriented Programming (OOP) techniques in C++ and OpenGL graphical support, a finite element code including pre/postprocessor FER/Impact is developed. The numerical results show that, at the present stage of development, this approach is robust and efficient in terms of numerical stability and precision compared with the penalty method.

Mots clés: Finite element method; Time-integration; Impact; Bi-potential method

Domaines: Mécanique [physics.med-ph]

Zhi-Qiang Feng, Pierre Joli, Jean-Michel Cros, Benoit Magnain. The bi-potential method applied for the modeling of dynamic problems with friction. Computational Mechanics, 2005, 36 (5), pp.375-383. ⟨10.1007/s00466-005-0663-8⟩. ⟨hal-00342921⟩