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

type de publication      article dans une revue internationale avec comité de lecture
date de publication 2003
auteur(s) Chaaba Ali; Bousshine Lahbib; De Saxce Géry
journal (abréviation) International Journal for Numerical Methods in Engineering (Int. J. Numer. Meth. Engng.)
volume (numéro) 57 (13)
pages 1899 – 1922
résumé 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.
mots clés limit analysis; rigid perfectly plastic behavior; drucker-prager criterion; finite element method; mathematical programming
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