Concept of the limit yield condition in shakedown theory

B. Druyanov*, I. Roman

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The concept of the limit yield condition is introduced which makes possible the extension of both the static (Melan) shakedown conditions, and the necessary kinematic (Koiter) one to a class of classical constitutive material models with internal variables. This class includes material models with both bounded and unbounded nonlinear isotropic strain-hardening. It is assumed that the yield conditions are convex with respect to stresses for all admissible values of the internal variables, but convexity in the internal variables is not assumed. Connections are established between the response of elastic perfectly plastic bodies to cyclic loading and that of bodies with internal variables. A method for estimating the limit yield condition is developed, and an example of this application is given.

Original languageEnglish
Pages (from-to)1547-1556
Number of pages10
JournalInternational Journal of Solids and Structures
Volume34
Issue number13
DOIs
StatePublished - May 1997

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