Identification of the dissipated energy by friction in dynamic multibody systems

Abstract : This paper is devoted to the modeling of finite deformations of elastic bodies under contact/impact conditions. In this kind of applications, it is well known that the total energy will be reduced versus time because of frictional effects. However, how to identify the dissipated energy in a quantitative way remains an open question. The aim of this work is to propose a numerical solution to this question. The proposed Bi-First algorithm combines the bi-potential method for contact modeling in dynamic cases and the first order algorithm for integration of the equation of motion. Numerical examples involve the impact of an elastic plate onto a rigid surface and the impact between two hyperelastic blocks and a rigid wall. The dissipated energy versus time will be plotted and the influence of friction coefficient on the dissipated energy will be discussed.