Structural shakedown for elastic–plastic materials with hardening saturation surface

An elastic plastic material model with internal variables and thermodynamic potential\ not admitting hardening states out of a saturation surface\ is assumed as a basis to formulate a statical Melan!type shakedown theorem[ Grounding on the optimality conditions relative to the shakedown load multiplier problem for a structure subjected to cyclic loads\ the impending inadaptation collapse mechanism at the shakedown limit state is analyzed and discussed[ It is shown that the adopted model is able to catch ratchetting collapse mode at a structural level[ Numerical results for a simple structure are _nally reported[ 0887 Elsevier Science Ltd[ All rights reserved[