Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
Applications of Mathematics (1996)
- Volume: 41, Issue: 6, page 447-466
- ISSN: 0862-7940
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topHlaváček, Ivan. "Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function." Applications of Mathematics 41.6 (1996): 447-466. <http://eudml.org/doc/32961>.
@article{Hlaváček1996,
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.},
author = {Hlaváček, Ivan},
journal = {Applications of Mathematics},
keywords = {deformation theory of plasticity; physically nonlinear elasticity; uncertain data; deformation theory of plasticity; physically nonlinear elasticity; uncertain data},
language = {eng},
number = {6},
pages = {447-466},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function},
url = {http://eudml.org/doc/32961},
volume = {41},
year = {1996},
}
TY - JOUR
AU - Hlaváček, Ivan
TI - Reliable solutions of problems in the deformation theory of plasticity with respect to uncertain material function
JO - Applications of Mathematics
PY - 1996
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 41
IS - 6
SP - 447
EP - 466
AB - 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.
LA - eng
KW - deformation theory of plasticity; physically nonlinear elasticity; uncertain data; deformation theory of plasticity; physically nonlinear elasticity; uncertain data
UR - http://eudml.org/doc/32961
ER -
References
top- Optimisation, théorie et algorithmes, Dunod, Paris, 1971. (1971) MR0298892
- Reliable solutions of elliptic boundary value problems with respect to uncertain data, (to appear). (to appear) MR1602891
- Mechanics of plastic materials, Moscow, 1948. (Russian) (1948)
- Monotone Potentialoperatoren in Theorie und Anwendung, VEB Deutscher Verlag der Wissenschaften, Berlin, 1976. (1976) Zbl0387.47037MR0495530
- Mathematical Theory of Elastic and Elasto-Plastic Bodies: An Introduction, Elsevier, Amsterdam, 1981. (1981)
- Solution of Signorini’s contact problem in the deformation theory of plasticity by secant modules method, Apl. Mat. 28 (1983), 199–214. (1983) MR0701739
- Les méthodes directes en théorie des équations elliptiques, Academia, Prague, 1967. (1967) MR0227584
Citations in EuDML Documents
top- Ivan Hlaváček, Reliable solution of an elasto-plastic Reissner-Mindlin beam for Hencky's model with uncertain yield function
- Jan Chleboun, On fuzzy input data and the worst scenario method
- Ivan Hlaváček, Jak řešit úlohy s nejistými vstupními daty?
- Igor Bock, Ján Lovíšek, On a reliable solution of a Volterra integral equation in a Hilbert space
- Zuzana Dimitrovová, Shape optimization of elasto-plastic bodies
- Anar Huseyin, Nesir Huseyin, Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation
- Ivan Hlaváček, Uncertain input data problems and the worst scenario method
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