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Reliable solution of a perfect plastic problem with uncertain stress-strain law and yield function. (English) Zbl 1014.74015
Coefficients of both stress-strain relations and yield function in the Prandtl-Reuss model are considered to be uncertain. Using simple finite elements in \(\mathbb{R}^3\) and backward differences in time, the author obtains an approximate solution and investigates its continuous dependence on uncertain data. Three different criteria are chosen to find the worst possible data in a given set of admissible input data. Finally, some convergence results are proven.
Reviewer: G.Olenev (Tartu)

74C05 Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)
74S05 Finite element methods applied to problems in solid mechanics
74S20 Finite difference methods applied to problems in solid mechanics
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