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Rosca, Ioan; Sofonea, Mircea

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

Appl. Math., Praha 39, No. 6, 401-414 (1994).
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.

MSC:

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

Keywords:

rate-type materials; fixed point property; one-dimensional case
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\textit{I. Rosca} and \textit{M. Sofonea}, Appl. Math., Praha 39, No. 6, 401--414 (1994; Zbl 0814.73064)
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References:

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