A p-version finite element approach for two- and three-dimensional problems of the J2 flow theory with non-linear isotropic hardening

In this paper an implementation of a two- and three-dimensional p-version approach to the J2 4ow theory with non-linear isotropic hardening for small displacements and small strains is presented. Based on higher-order quadrilateral and hexahedral element formulations, a Newton–Raphson iteration scheme combined with a radial return algorithm is applied to )nd approximate solutions for the underlying physically non-linear model problem. Curved boundaries are taken care of with the blending function method, allowing an accurate representation of geometry with only a few p-elements. Numerical examples demonstrate, that the p-version supplies e?cient and accurate approximations to this class of physically non-linear problems