Comptes Rendus
Kinematic shakedown by the Norton–Hoff–Friaa regularising method and augmented Lagrangian
Comptes Rendus. Mécanique, Volume 330 (2002) no. 5, pp. 305-311.

The shakedown analysis of elastic perfectly plastic structures is formulated as a discrete nonlinear mathematical programming problem by means of the finite element technique. The kinematical problem is regularized through the introduction of the Norton–Hoff viscoplastic material to overcome the non-differentiability of the objective function, and can be solved numerically by the augmented Lagrangian technique.

L'analyse d'adaptation des structures élastique parfaitement plastique est formulée comme un problème de programmation mathématique non-linear discret, en utilisant la méthode des éléments finis. Le problème cinématique est régularisé par l'introduction d'un matériaux viscoplastique de Northon–Hoff pour rendre la fonction objectif différentiable, et peut etre résolu numériquement par la technique du Lagrangien augmenté.

Received:
Accepted:
Published online:
DOI: 10.1016/S1631-0721(02)01441-9
Keywords: computational solid mechanics, shakedown, viscoplasticity, optimization
Mot clés : mécanique des solides numérique, adaptaion, viscoplasticité, optimisation

Mohand Ameziane Hamadouche 1

1 Laboratoire de mécanique de Lille, URA CNRS 1441, Boulevard Paul-Langevin, cité scientifique 59655 Villeneuve d'Ascq cedex, France
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Mohand Ameziane Hamadouche. Kinematic shakedown by the Norton–Hoff–Friaa regularising method and augmented Lagrangian. Comptes Rendus. Mécanique, Volume 330 (2002) no. 5, pp. 305-311. doi : 10.1016/S1631-0721(02)01441-9. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/S1631-0721(02)01441-9/

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