APPLICATIONS OF MATHEMATICS, Vol. 41, No. 6, pp. 447-466, 1996

Reliable solutions of problems in the deformation theory of plasticity with respect to
uncertain material function

Ivan Hlavacek

Ivan Hlavacek, Matematicky ustav AV CR, Zitna 25, CZ-115 67 Praha 1, Czech Republic

Abstract: Maximization problems are formulated for a class of quasistatic problems in the deformation theory of plasticity with respect to an uncertainty in the material function. Approximate problems are introduced on the basis of cubic Hermite splines and finite elements. The solvability of both continuous and approximate problems is proved and some convergence analysis presented.

Keywords: deformation theory of plasticity, physically nonlinear elasticity, uncertain data

Classification (MSC 1991): 65N30, 73E99, 73C50, 35J65, 35R30

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