Explicit computational developments for elasto-plastic large deformation frictional contact-impact problems

With the objective of developing techniques for subsequent applications to parallel computation or vectorization, new explicit computational strategies for dynamic contact-impact problems considering elasto-plastic large deformation and involving Coulomb's friction are first developed in this study for supercomputing environments such as the CRAY. Three kinds of weak forms for the governing model equations subjected to the constraints on the contact surface are discussed, which provide the theoretical foundation for the numerical analysis developments. The finite element method in conjunction with a proposed explicit modified central difference method: forward incremental displacement central difference approach are used to discretize the selected weak form of the dynamic equations with constraint conditions. Yet, another effective explicit iteration procedure: conjugate gradient based projection method, is employed to enforce the constraints on the contact boundary. An updated Lagrangian formulation and Jaumann stress rate are employed for handling the large deformation elasto-plastic nonlinear material with frictional contact. A code, Contact Impact Analysis (CIA-2D), is developed for CRAY computing environments. Several numerical examples demonstrate the applicability of the proposed strategies for explicit dynamic contact-impact problems.