Solution of quasi-static large-strain problems by the material point method

A procedure for solving quasi-static large-strain problems by the material point method is presented. Owing to the Lagrangian-Eulerian features of the method, problems associated with excessive mesh distortions that develop in the Lagrangian formulations of the finite element method are avoided. Three-dimensional problems are solved utilizing 15-noded prismatic and 10-noded tetrahedral elements with quadratic interpolation functions as well as an implicit integration scheme. An algorithm for exploiting the numerical integration procedure on the computational mesh is proposed. Several numerical examples are shown. Copyright (C) 2010 John Wiley & Sons, Ltd.