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Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction

SYSNO ASEP	0323859
Druh ASEP	J - Článek v odborném periodiku
Zařazení RIV	J - Článek v odborném periodiku
Poddruh J	Ostatní články
Název	Shape Optimization in Three-Dimensional Contact Problems with Coulomb Friction
Překlad názvu	Optimalizace tvaru třídimenzionálních těles s Coulobmovským kontaktem
Tvůrce(i)	Beremlijski, P. (CZ) Haslinger, J. (CZ) Kočvara, Michal (UTIA-B)_{RID, ORCID} Kučera, R. (CZ) Outrata, Jiří (UTIA-B)_{RID, ORCID}
Zdroj.dok.	SIAM Journal on Optimization. - : SIAM Society for Industrial and Applied Mathematics - ISSN 1052-6234 Roč. 20, č. 1 (2009), s. 416-444
Poč.str.	29 s.
Forma vydání	www - www
Jazyk dok.	eng - angličtina
Země vyd.	US - Spojené státy americké
Klíč. slova	shape optimization ; contact problems ; Coulomb friction
Vědní obor RIV	BA - Obecná matematika
CEP	IAA100750802 GA AV ČR - Akademie věd
	IAA1075402 GA AV ČR - Akademie věd
CEZ	AV0Z10750506 - UTIA-B (2005-2011)
DOI	10.1137/080714427
Anotace	We study the discretized problem of the shape optimization of three-dimensional 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 two-dimensional case of this problem was studied by the authors in SIAM J. Optim.; there we used the so-called implicit programming approach combined with the generalized differential calculus of Clarke. The extension of this technique to the three-dimensional situation is by no means straightforward. The main source of difficulties is the nonpolyhedral character of the second-order (Lorentz) cone, arising in the 3D model.
Pracoviště	Ústav teorie informace a automatizace
Kontakt	Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201.
Rok sběru	2009

Počet záznamů: 1