Geodesic
Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
Applications of Mathematics, Tome 41 (1996) no. 6, pp. 447-466

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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.
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.
DOI : 10.21136/AM.1996.134337
Classification : 35J65, 35R30, 65N30, 73C50, 73E99
Keywords: deformation theory of plasticity; physically nonlinear elasticity; uncertain data 
Hlaváček, Ivan. Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function. Applications of Mathematics, Tome 41 (1996) no. 6, pp. 447-466. doi: 10.21136/AM.1996.134337
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