Explicit dynamics with a non-local damage model using the thick level set approach

摘要

In this paper, we are interested in the dynamical response of a material body subjected to impact loadings. Such loadings are brutal and intense and may damage the material, leading to strain localization and rupture. Before strain localization occurs, computation of such problems is often accurate enough and very efficient when an explicit time integration scheme is applied. However, after strain localization occurs, the mathematical relevance of a model is preserved only if non-locality is introduced. This is often resulting in a dramatic increase of computational costs. We propose in this work to introduce non-locality through the Thick Level Set approach (TLS). It is the first time the TLS approach has been presented in a dynamical context. In this approach, additional computational efforts are limited in space to a domain slightly bigger than the strain localization region and the time discretization is explicit. The non-local computation is based on a new technique where basis functions are built on the damaged band. The resulting function space has needed properties to compute non-local fields. Copyright (C) 2014 John Wiley & Sons, Ltd.