Error estimates of an iterative method for a quasistatic elastic-visco- plastic problem. (English) Zbl 0814.73064

Summary: This paper deals with an initial-boundary value problem describing the quasistatic evolution of rate-type viscoplastic materials. Using a fixed point property, an iterative method for the study of this problem is proposed. A concrete algorithm as well as some numerical results in the one-dimensional case are also presented.


74S05 Finite element methods applied to problems in solid mechanics
74C10 Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity)
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
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