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Adaptive time stepping in elastoplasticity. (English) Zbl 1454.74138

Summary: Using rate-independent evolutions as a framework for elastoplasticity, an a posteriori bound for the error introduced by time stepping is established. A time adaptive algorithm is devised and tested in comparison to a method with constant time steps. Experiments show that a significant error reduction can be obtained using variable time steps.

MSC:

74S05 Finite element methods applied to problems in solid mechanics
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
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