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Some Basic Elements of the Shakedown Theory

  • B. Nayroles
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 36)

Abstract

The aim of the present exposition is to summarize the main algebraic properties of classics plasticity, and thus help the understanding of the mathematical context of shakedown studies Hence nothing new must be expected, except some few improvements concerning presenta tion and hypothesis enlargement ; for instance the new concept of “elastic sanctuary” ha recently been introduced by the author and D. Weichert [1993] in order to give a maximal extension to the assumptions which ensure the classical proofs. We shall stay within th linear framework generated by the hypothesis that displacements and strains remain small in the vicinity of some strained configuration.

Keywords

Virtual Work Plastic Strain Rate Elasticity Domain Perfect Plasticity Sweeping Process 
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References

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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  • B. Nayroles
    • 1
  1. 1.Laboratoire Sols-Solides-StructuresGrenobleFrance

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