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Title: Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function (English)
Author: Hlaváček, Ivan
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 41
Issue: 6
Year: 1996
Pages: 447-466
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: deformation theory of plasticity
Keyword: physically nonlinear elasticity
Keyword: uncertain data
MSC: 35J65
MSC: 35R30
MSC: 65N30
MSC: 73C50
MSC: 73E99
idZBL: Zbl 0870.65095
idMR: MR1415251
DOI: 10.21136/AM.1996.134337
Date available: 2009-09-22T17:52:51Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] Céa, J.: Optimisation, théorie et algorithmes.Dunod, Paris, 1971. MR 0298892
Reference: [2] Hlaváček, I.: Reliable solutions of elliptic boundary value problems with respect to uncertain data.(to appear). MR 1602891
Reference: [3] Kačanov, L. M.: Mechanics of plastic materials.Moscow, 1948. (Russian)
Reference: [4] Langenbach, A.: Monotone Potentialoperatoren in Theorie und Anwendung.VEB Deutscher Verlag der Wissenschaften, Berlin, 1976. Zbl 0387.47037, MR 0495530
Reference: [5] Nečas, J. – Hlaváček, I.: Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction.Elsevier, Amsterdam, 1981.
Reference: [6] Nečas, J. – Hlaváček, I.: Solution of Signorini’s contact problem in the deformation theory of plasticity by secant modules method.Apl. Mat. 28 (1983), 199–214. MR 0701739
Reference: [7] Nečas, J.: Les méthodes directes en théorie des équations elliptiques.Academia, Prague, 1967. MR 0227584


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