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- W2059761710 abstract "The model of generalized standard materials gives a convenient framework to extend Koiter's shakedown theorems into hardening plasticity. The extension of the static shakedown theorem (Melan–Koiter's theorem), proposed previously in [5], is considered here. It leads to the definition of safety coefficients in hardening plasticity by duality. Static and kinematic approaches are discussed for the models of isotropic hardening, of linear kinematic hardening (Ziegler–Prager's model) and of limited kinematic hardening. This discussion also leads to an extension of Koiter's kinematic shakedown theorem and to a second kinematic coefficient. Le modèle des matériaux standard généralisés fournit un cadre commode pour étendre les théorèmes d'adaptation de W.T. Koiter à la plasticité avec écrouissage. Une extension du théorème statique de Melan–Koiter, proposée antérieurement dans [5], est ici considérée. Par dualité, elle conduit à la définition des coefficients de sécurité statique et cinématique. Les modèles d'écrouissage isotrope, ou d'écrouissage cinématique linéaire (modèle de Ziegler–Prager) ou d'écrouissage cinématique limité sont discutés. Cette étude conduit aussi à un deuxième coefficient de sécurité cinématique et à une extension du théorème cinématique d'adaptation de Koiter pour les matériaux écrouissables." @default.
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- W2059761710 date "2001-05-01" @default.
- W2059761710 modified "2023-09-27" @default.
- W2059761710 title "On shakedown theorems in hardening plasticity" @default.
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- W2059761710 doi "https://doi.org/10.1016/s1620-7742(01)01321-6" @default.
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