Author(s)

Matthew W. Lewis

Abstract

A method for predicting and modelling material failure in solids subjected to impact loading is outlined. The method uses classical void growth models of Gurson and Tvergaard in a material point method (MPM). Because of material softening, material stability is lost. At this point, the character of the governing partial differential equations changes, and localization occurs. This localiza- tion results in mesh dependence for many problems of interest. For many problems, predicting the occurrence of material failure and its extent is necessary. To enable this modelling, it is proposed that a discontinuity be introduced into the displacement field. By including a dissipation-based force- displacement relationship, the mesh dependence of energy dissipation can be avoided. Additionally, the material point methods provides a means of allow- ing large

Keywords