A finite element finite-strain formulation for modeling colliding blocks of Gent materials

作者:Feng, Zhi-Qiang*; Renaud, Christine; Cros, Jean-Michel; Zhang, Hongwu; Guan, Zhenqun
来源:International Journal of Solids and Structures, 2010, 47(17): 2215-2222.
DOI:10.1016/j.ijsolstr.2010.04.007

摘要

The present paper is devoted to the analysis of the contact/impact problems with Coulomb friction and large deformation between two hyperelastic bodies of Gent model. The total Lagrangian formulation is adopted to describe the geometrically non-linear behavior. For the finite element implementation, the explicit expression of the incremental law of Gent model is derived. A first order algorithm is applied for the numerical integration of the time-discretized equation of motion. Efficiency and accuracy of the resulting method is illustrated on a two-dimensional static contact problem and a three-dimensional dynamic contact problem as compared with ANSYS simulations.