About: On the solvability of dynamic elastic-visco-plastic contact problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We consider two dynamic contact problems between an elastic-visco-plastic body and an obstacle, the so-called foundation. The contact is frictionless and it is modelled with normal compliance of such a type that the penetration is not restricted in the first problem, but is restricted with unilateral constraint, in the second one. We derive a variational formulation of the first problem and then prove its unique weak solvability, by using arguments on nonlinear evolution equations with monotone operators and fixed point. Then, we derive a variational formulation of the second problem and prove its weak solvability. To this end we consider a sequence of regularized problems wich have a unique solution, derive a priori estimates and use compactness properties to obtain a solution to the original model, by passing to the limit as the regularization parameter converges to zero. We consider two dynamic contact problems between an elastic-visco-plastic body and an obstacle, the so-called foundation. The contact is frictionless and it is modelled with normal compliance of such a type that the penetration is not restricted in the first problem, but is restricted with unilateral constraint, in the second one. We derive a variational formulation of the first problem and then prove its unique weak solvability, by using arguments on nonlinear evolution equations with monotone operators and fixed point. Then, we derive a variational formulation of the second problem and prove its weak solvability. To this end we consider a sequence of regularized problems wich have a unique solution, derive a priori estimates and use compactness properties to obtain a solution to the original model, by passing to the limit as the regularization parameter converges to zero. (en) Uvažují se dva kontaktní problémy mezi elastoviskoplastickým tělesem a překážkou. Kontakt je bez tření a je modelován tak, že proniknutí je v prvním problému neomezeno, zatímco ve druhém je omezeno jednostrannou podmínkou. Odvodí se variační formulace prvního problému a dokáže se jeho jednoznačná řešitelnost užitím metody pevného bodu. Pak se odvodí variační formulace druhého problému, pro něž se dokáží uniformní odhady a jistá kompaktnost. (cs)
Title	On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems (en) O řešitelnosti dynamických elastoviskoplastických problémů (cs)
skos:prefLabel	On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems (en) O řešitelnosti dynamických elastoviskoplastických problémů (cs)
skos:notation	RIV/67985840:_____/08:00099040!RIV08-AV0-67985840
http://linked.open.../vavai/riv/strany	3;22
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA1075402), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2008
http://linked.open...aciTvurceVysledku	Jarušek, Jiří
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	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	384793
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/08:00099040
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	elastic-visco-plastic material; dynamic process; frictionless contact (en)
http://linked.open.../riv/klicoveSlovo	dynamic process elastic-visco-plastic material frictionless contact
http://linked.open...odStatuVydavatele	DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV	[FA8E9CFB2FCE]
http://linked.open...i/riv/nazevZdroje	ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Variational analysis in nonsmooth problems of mathematical physics
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	88
http://linked.open...iv/tvurceVysledku	Jarušek, Jiří Sofonea, M.
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0044-2267
number of pages	20 (xsd:int)
is http://linked.open...avai/riv/vysledek of	On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems

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