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Article Dans Une Revue Comptes rendus de l’Académie des sciences. Série IIb, Mécanique Année : 2001

On shakedown theorems in hardening plasticity

Résumé

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.

Dates et versions

hal-00111327 , version 1 (05-11-2006)

Identifiants

Citer

Quoc Son Nguyen, Duc Chinh Pham. On shakedown theorems in hardening plasticity. Comptes rendus de l’Académie des sciences. Série IIb, Mécanique, 2001, 329, pp.307-314. ⟨10.1016/S1620-7742(01)01321-6⟩. ⟨hal-00111327⟩
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