Error estimates for stresses in the finite element analysis of the two-dimensional elasto-plastic problems. (English) Zbl 0899.73532

Repin, S.; Seregin, G.

Int. J. Eng. Sci. 33, No. 2, 255-268 (1995).

Summary: In the present paper an error estimate for finite element approximations based on the Haar-Karman variational principle is given. To satisfy exactly equilibrium equations in stresses equilibrium finite elements are used while yield condition is satisfied approximately by means of the penalty function having clear mechanical sense. It is shown that there is some relation between parameters of discretization and penalty which gives a qualified error estimate for stresses.

MSC:

74S05	Finite element methods applied to problems in solid mechanics
74C99	Plastic materials, materials of stress-rate and internal-variable type
65N15	Error bounds for boundary value problems involving PDEs

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