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Statements

Subject Item
n2:RIV%2F67985840%3A_____%2F08%3A00099040%21RIV08-AV0-67985840
rdf:type
skos:Concept n15:Vysledek
dcterms:description
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. 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.
dcterms:title
O řešitelnosti dynamických elastoviskoplastických problémů On the solvability of dynamic elastic-visco-plastic contact problems On the solvability of dynamic elastic-visco-plastic contact problems
skos:prefLabel
On the solvability of dynamic elastic-visco-plastic contact problems O řešitelnosti dynamických elastoviskoplastických problémů On the solvability of dynamic elastic-visco-plastic contact problems
skos:notation
RIV/67985840:_____/08:00099040!RIV08-AV0-67985840
n5:strany
3;22
n5:aktivita
n11:Z n11:P
n5:aktivity
P(IAA1075402), Z(AV0Z10190503)
n5:cisloPeriodika
1
n5:dodaniDat
n10:2008
n5:domaciTvurceVysledku
n8:2736977
n5:druhVysledku
n16:J
n5:duvernostUdaju
n13:S
n5:entitaPredkladatele
n12:predkladatel
n5:idSjednocenehoVysledku
384793
n5:idVysledku
RIV/67985840:_____/08:00099040
n5:jazykVysledku
n6:eng
n5:klicovaSlova
elastic-visco-plastic material; dynamic process; frictionless contact
n5:klicoveSlovo
n9:elastic-visco-plastic%20material n9:frictionless%20contact n9:dynamic%20process
n5:kodStatuVydavatele
DE - Spolková republika Německo
n5:kontrolniKodProRIV
[FA8E9CFB2FCE]
n5:nazevZdroje
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
n5:obor
n18:BA
n5:pocetDomacichTvurcuVysledku
1
n5:pocetTvurcuVysledku
2
n5:projekt
n17:IAA1075402
n5:rokUplatneniVysledku
n10:2008
n5:svazekPeriodika
88
n5:tvurceVysledku
Sofonea, M. Jarušek, Jiří
n5:zamer
n14:AV0Z10190503
s:issn
0044-2267
s:numberOfPages
20