About: SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We study the discretized problem of the shape optimization of three-dimensional (3D) elastic bodies in unilateral contact. The aim is to extend existing results to the case of contact problems obeying the Coulomb friction law. Mathematical modeling of the Coulomb friction problem leads to an implicit variational inequality. It is shown that for small coefficients of friction the discretized problem with Coulomb friction has a unique solution and that this solution is Lipschitzian as a function of a control variable describing the shape of the elastic body. The 2D case of this problem was studied by the authors in [P. Beremlijski, J. Haslinger, M. Kocvara, and J. V. Outrata, SIAM J. Optim., 13 (2002), pp. 561-587]; there we used the so-called implicit programming approach combined with the generalized differential calculus of Clarke. The extension of this technique to the 3D situation is by no means straightforward. The main source of difficulties is the nonpolyhedral character of the second-order (Lor We study the discretized problem of the shape optimization of three-dimensional (3D) elastic bodies in unilateral contact. The aim is to extend existing results to the case of contact problems obeying the Coulomb friction law. Mathematical modeling of the Coulomb friction problem leads to an implicit variational inequality. It is shown that for small coefficients of friction the discretized problem with Coulomb friction has a unique solution and that this solution is Lipschitzian as a function of a control variable describing the shape of the elastic body. The 2D case of this problem was studied by the authors in [P. Beremlijski, J. Haslinger, M. Kocvara, and J. V. Outrata, SIAM J. Optim., 13 (2002), pp. 561-587]; there we used the so-called implicit programming approach combined with the generalized differential calculus of Clarke. The extension of this technique to the 3D situation is by no means straightforward. The main source of difficulties is the nonpolyhedral character of the second-order (Lor (en)
Title	SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION (en)
skos:prefLabel	SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION (en)
skos:notation	RIV/61989100:27240/09:00021414!RIV10-MSM-27240___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100750802), P(IAA1075402), Z(AV0Z10750506), Z(MSM0021620839), Z(MSM6198910027)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	Haslinger, Jaroslav Kučera, Radek Beremlijski, Petr
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Vysoká škola báňská - Technická univerzita Ostrava / Fakulta elektrotechniky a informatiky
http://linked.open...dnocenehoVysledku	341032
http://linked.open...ai/riv/idVysledku	RIV/61989100:27240/09:00021414
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	shape optimization; contact problems; Coulomb friction; mathematical programs with equilibrium constraints (en)
http://linked.open.../riv/klicoveSlovo	Coulomb friction shape optimization contact problems mathematical programs with equilibrium constraints
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[EA102D0295F1]
http://linked.open...i/riv/nazevZdroje	SIAM JOURNAL ON OPTIMIZATION
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...vavai/riv/projekt	Nonsmooth and set-valued analysis in mechanics and thermomechanics Variational analysis in nonsmooth problems of mathematical physics
http://linked.open...UplatneniVysledku	2009
http://linked.open...v/svazekPeriodika	20
http://linked.open...iv/tvurceVysledku	Haslinger, Jaroslav Beremlijski, Petr Kučera, Radek Outrata, Jiří Kočvara, Michal
http://linked.open...ain/vavai/riv/wos	000266055700017
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech Metody moderní matematiky a jejich aplikace Výpočetně náročné počítačové simulace a optimalizace
issn	1052-6234
number of pages	29 (xsd:int)
http://localhost/t...ganizacniJednotka	27240
is http://linked.open...avai/riv/vysledek of	SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION

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