Shakedown analysis, and its more classical special case of limit analysis, basically consists of “direct” (as distinct from time-stepping) methods apt to assess safety factors for variable repeated external actions and procedures which provide upper bounds on history-dependent quantities. The issues reviewed and briefly discussed herein are: some recent engineering-oriented and cost-effective methods resting on Koiter’s kinematic theorem and applied to periodic heterogeneous media; recent extensions (after the earlier ones to dynamics and creep) to another area characterized by time derivatives, namely poroplasticity of fluid-saturated porous media. Links with some classical or more consolidated direct methods are pointed out.

Issue Section:
Technical Papers
Keywords:
mechanical stability, buckling, elastoplasticity, plasticity, porosity, kinematics, inhomogeneous media
Topics:
Kinematics, Plasticity, Safety, Stress, Theorems (Mathematics), Collapse, Dynamics (Mechanics), Finite element analysis, Solids, Cycles, Fluids, Dams, Creep
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