Application of the p-version of the finite element method to elastoplasticity with localization of deformation

In this paper we discuss the use of the p-version of the finite element met hod applied to elastoplastic problems that exhibit sharp (but continuous) d eformation gradients. The deformation theory of deviatoric, linearly harden ing elastoplasticity with an iterative, displacement based finite element f ramework is used. The focus of this work is on assessing the applicability of the p-version to the analysis of localized deformation with continuous s train and displacement fields. Presented examples demonstrate that the meth od can be used reliably with a proper finite element mesh design. Possible extensions of the work are also discussed. Copyright (C) 1999 John Wiley & Sons, Ltd.