Abstract

This paper presents nonlinear mixed formulations to simulate the material failure process in solids by its finite element approximation. The formulations presented are the corresponding virtual work by the virtual stresses and displacements and the virtual work by displacements and strains. Both formulations presented are derived from the principle of virtual work with four independent variables. The beha- viour of the material is governed by an isotropic continuum damage model equipped with two internal variables at each integration point. In the numerical implementation, the displacement-stress formulation presents numerical problems when the behaviour of the material approaches complete damage, thus only the displacement-strain formulation was implemented. The advantage of the strain-displacement over a typical displacement formulation to simulate the material failure process with damage models as strain concentrations is discussed. To show the validity and illustrate the effectiveness of the displacement-strain formulation, results from some representative numerical examples are presented and discussed within the framework of continuum approximations.

Full document

The PDF file did not load properly or your web browser does not support viewing PDF files. Download directly to your device: Download PDF document
Back to Top
GET PDF

Document information

Published on 01/07/10
Accepted on 01/07/10
Submitted on 01/07/10

Volume 26, Issue 3, 2010
Licence: CC BY-NC-SA license

Document Score

0

Views 10
Recommendations 0

Share this document

claim authorship

Are you one of the authors of this document?