On the solvability of dynamic elastic-visco-plastic contact problems with adhesion

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F09%3A00334187" target="_blank" >RIV/67985840:_____/09:00334187 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the solvability of dynamic elastic-visco-plastic contact problems with adhesion

Popis výsledku v původním jazyce

We consider a dynamic contact problem between an elastic-viscoplastic body and an obstacle, the so-called foundation. The contact is frictionless and is modelled with normal compliance of such a type that the penetration is restricted with unilateral constraint. The adhesion of contact surfaces is taken into account and the evolution of the bonding field is described by a first-order differential equation. We provide a weak formulation of the contact problem in the form of an integro-differential systemin which the unknowns are the displacement, the stress and the bonding fields, then we present an existence result for the solution. We consider a sequence of penalized problems which have a unique solution, derive a priori estimates and use compactnessproperties to obtain a solution to the original model, by passing to the limit as the penalization parameter converges to zero.

Název v anglickém jazyce

On the solvability of dynamic elastic-visco-plastic contact problems with adhesion

Popis výsledku anglicky

We consider a dynamic contact problem between an elastic-viscoplastic body and an obstacle, the so-called foundation. The contact is frictionless and is modelled with normal compliance of such a type that the penetration is restricted with unilateral constraint. The adhesion of contact surfaces is taken into account and the evolution of the bonding field is described by a first-order differential equation. We provide a weak formulation of the contact problem in the form of an integro-differential systemin which the unknowns are the displacement, the stress and the bonding fields, then we present an existence result for the solution. We consider a sequence of penalized problems which have a unique solution, derive a priori estimates and use compactnessproperties to obtain a solution to the original model, by passing to the limit as the penalization parameter converges to zero.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/IAA100750802" target="_blank" >IAA100750802: Metody nehladké a mnohoznačné analýzy v mechanice a termomechanice</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Annals of the Academy of Romanian Scientists

ISSN

2066-6594

e-ISSN

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Svazek periodika

1

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

RO - Rumunsko

Počet stran výsledku

24

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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