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Chapitre D'ouvrage Année : 2006

Min-max Duality and Shakedown Theorems in Plasticity

Quoc Son Nguyen
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Résumé

This paper gives an overall presentation of shakedown theorems in perfect and in hardening plasticity. General results on shakedown theorems are discussed in the framework of generalized standard materials. The starting point is a static shakedown theorem available for perfect and for hardening plasticity. It leads by min-max duality to the dual static and kinematic approaches to compute the safety coefficient with respect to shakedown. These approaches are discussed for common models of isotropic and of kinematic hardening. In particular, the kinematic approach leads to some new results on the expressions of the safety coefficient.
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Dates et versions

hal-00108974 , version 1 (23-10-2006)

Identifiants

Citer

Quoc Son Nguyen. Min-max Duality and Shakedown Theorems in Plasticity. P. Alart, O. Maisonneuve, R.T. Rockafellar. Nonsmooth Mechanics and Analysis: Theoretical and Numerical Advances, Springer, pp.81-92, 2006, Advances in Mechanics and Mathematics, ⟨10.1000/ISBN-0387291962⟩. ⟨hal-00108974⟩
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