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Anapproach to elastic shakedown based on the maximum plastic dissipation theorem

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Polizzotto C. , Borino G. , Fuschi P.

Archives of Mechanics

2000

tom Vol. 52, nr 4-5

713-735

Elastic-perfectly plastic solid structures are considered subjected to combined loads, superposition of permanent (mechanical) loads and cyclically variable loads, the latter being specified to within a scalar multiplier. The classical maximum dissipation theorem is used to derive known results of the shakedown theory, as well as a few apparently novel concepts: the shakedown limit load associated with a given (noninstantaneous) collapse mode, the mixed upper bound to the shakedown safety factor, and the mixed static-kinematic formulation of the shakedown safety factor problem. The shakedown load boundary surface is also investigated and a number of its notable features are pointed out. A simple illustrative example is presented.