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

• DOI: 10.1016/j.ijsolstr.2010.04.007
• Publication Date: 2010-04-19T08:48:58Z
• Authors: Zhi-Qiang Feng; Christine Renaud; Jean-Michel Cros; Hongwu Zhang; Zhenqun Guan
• Keywords: Strain (injury)

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.