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Kinematic shakedown by the Norton–Hoff–Friaa regularising method and augmented LagrangianAdaptation cinématique par la methode de régularisation de Norton–Hoff–Friaa et du Lagrangien augmenté
Authors:Mohand Ameziane Hamadouche
Institution:Laboratoire de mécanique de Lille, URA CNRS 1441, Boulevard Paul-Langevin, cité scientifique 59655 Villeneuve d''Ascq cedex, France
Abstract: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. To cite this article: M.A. Hamadouche, C. R. Mecanique 330 (2002) 305–311.
Keywords:computational solid mechanics  shakedown  viscoplasticity  optimization  mécanique des solides numérique  adaptaion  viscoplasticité  optimisation
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