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Statements

Subject Item
n2:RIV%2F61989100%3A27240%2F09%3A00021414%21RIV10-MSM-27240___
rdf:type
n12:Vysledek skos:Concept
dcterms: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
dcterms:title
SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION
skos:prefLabel
SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION SHAPE OPTIMIZATION IN THREE-DIMENSIONAL CONTACT PROBLEMS WITH COULOMB FRICTION
skos:notation
RIV/61989100:27240/09:00021414!RIV10-MSM-27240___
n3:aktivita
n4:P n4:Z
n3:aktivity
P(IAA100750802), P(IAA1075402), Z(AV0Z10750506), Z(MSM0021620839), Z(MSM6198910027)
n3:cisloPeriodika
1
n3:dodaniDat
n18:2010
n3:domaciTvurceVysledku
n10:7616880 n10:2314738 n10:8314748
n3:druhVysledku
n19:J
n3:duvernostUdaju
n16:S
n3:entitaPredkladatele
n17:predkladatel
n3:idSjednocenehoVysledku
341032
n3:idVysledku
RIV/61989100:27240/09:00021414
n3:jazykVysledku
n5:eng
n3:klicovaSlova
shape optimization; contact problems; Coulomb friction; mathematical programs with equilibrium constraints
n3:klicoveSlovo
n6:contact%20problems n6:Coulomb%20friction n6:shape%20optimization n6:mathematical%20programs%20with%20equilibrium%20constraints
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[EA102D0295F1]
n3:nazevZdroje
SIAM JOURNAL ON OPTIMIZATION
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
3
n3:pocetTvurcuVysledku
5
n3:projekt
n14:IAA100750802 n14:IAA1075402
n3:rokUplatneniVysledku
n18:2009
n3:svazekPeriodika
20
n3:tvurceVysledku
Haslinger, Jaroslav Kočvara, Michal Beremlijski, Petr Kučera, Radek Outrata, Jiří
n3:wos
000266055700017
n3:zamer
n13:MSM6198910027 n13:MSM0021620839 n13:AV0Z10750506
s:issn
1052-6234
s:numberOfPages
29
n7:organizacniJednotka
27240