On particle finite element methods (PFEM) in dynamic solid mechanics problems

Abstract

The work presents the most relevant features of a numerical simulation setting based on the Particle Finite Element Method. The method is especially suitable for dynamic problems in computational solid mechanics where a fluid-like behavior is experienced by the solid i.e.: metal forming processes, powder compaction processes and granular flows, characterized by large strains and distortions, and those displaying new appearances and changes of existing solid boundaries, like in machining processes. The main elements of the method are: a) the updated Lagrange description of the motion, b) an automatic boundary recognition procedure (the alpha-shape method), c) appropriated constitutive models and integration algorithms and 4) a specific contact-domain based method to impose the contact constraints.