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

Autor:	Géry de Saxcé, Ali Chaaba, Lahbib Bousshine
Rok vydání:	2003
Předmět:	Numerical Analysis Singularity Limit analysis Finite element limit analysis Applied Mathematics Solid mechanics Mathematical analysis General Engineering Limit state design Regularization (mathematics) Finite element method Plane stress Mathematics
Zdroj:	International Journal for Numerical Methods in Engineering. 57:1899-1922
ISSN:	1097-0207 0029-5981
DOI:	10.1002/nme.710
Popis:	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.
Databáze:	OpenAIRE
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