A thermodynamically based explicit transient dynamics framework for large transformation contact problems

An explicit framework to solve fast dynamic problems with large transformation and rigid-deformable contact, involving non-regular and non-linear behaviors is under concern. Based on previous works, a framework combining thermodynamically-based behaviors and the so-called explicit symplectic time integrator CD-Lagrange owning good energy properties is developed. In this article, the interface behavior is modeled with a cohesive zone model, the RCCM delayed damage model, and for the deformable body, a hyper-elastic Saint-Venant–Kirchhoff model coupled with viscous effects is chosen. The modular proposed framework shows that switching between a large transformation or a small perturbation problem (and a wide range of non-linear laws both on the interface or in the bulk) is non-intrusive in terms of numerical implementation and dedicated spatial interface integration in the framework of finite elements. In this work, illustrations and feasibility are exemplified for a simplified unmolding industrial case.