Kinematic limit analysis modelling by a regularization approach and finite element method

✍ Scribed by Ali Chaaba; Lahbib Bousshine; Gery De Saxce

• Publisher: John Wiley and Sons
• Year: 2003
• Tongue: English
• Weight: 265 KB
• Volume: 57
• Category: Article
• ISSN: 0029-5981
• DOI: 10.1002/nme.710

✦ Synopsis

Abstract

Kinematical approach by limit analysis is one of the fundamental methods used to predict the plastic limit state and it is applied successfully to deal with engineering problems in solid mechanics. The kinematical approach consists of minimizing the plastic dissipation power throughout the body, produced by plasticity, which involves functional with norm integrand. Besides, to derive the stress field within the body, one uses the inverse plastic law that is a subdifferential of the dissipation power. The complexity and possible singularity in the derivatives of functionals become a source of many numerical troubles. To overcome these encountered difficulties, we propose a solving algorithm by using a regularization procedure on the basis of the inf‐convolution operation. Some numerical applications by plane strain or axisymmetric finite element method are presented to illustrate the algorithm. Copyright © 2003 John Wiley & Sons, Ltd.