Abstract
The problem of shakedown safety factor calculation is considered in the framework of convex analysis, which leads to the formulation of an upper bound kinematic method making use of time-independent velocity fields. An explicit formula for the upper bound is derived for the shakedown problem with a polyhedron set of variable loads. Conditions are established under which the infimum of upper bounds over a set of regular velocity fields equals the safety factor. Convergence of finite-element approximations to the safety factor is proved.KeywordsSafety FactorYield SurfaceExtremum ProblemInternal ApproximationElastic Stress FieldThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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