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

✍ Scribed by Zhi-Qiang Feng; Christine Renaud; Jean-Michel Cros; Hongwu Zhang; Zhenqun Guan

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 873 KB
• Volume: 47
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/j.ijsolstr.2010.04.007

✦ Synopsis

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.