Abstract
A new mathematical method is developed to study the shakedown of bar systems subjected to cycles of loads and temperature allowing for temperature dependence of the yield stresses. For a parallel bar system constrained to have equal displacements at the ends, the shakedown factor is obtained in an explicit analytical form. The possible inadaptation modes of incremental collapse (structural ratchetting) and alternating plasticity (low cycle fatigue) on the boundary of the shakedown domain are determined.
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