Počet záznamů: 1  

A dynamic elastic-visco-plastic unilateral contact problem with normal damped response and Coulomb friction

  1. 1.
    SYSNO ASEP0345046
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JČlánek ve WOS
    NázevA dynamic elastic-visco-plastic unilateral contact problem with normal damped response and Coulomb friction
    Tvůrce(i) Eck, Ch. (DE)
    Jarušek, Jiří (MU-W) RID, ORCID, SAI
    Sofonea, M. (FR)
    Zdroj.dok.European Journal of Applied Mathematics - ISSN 0956-7925
    Roč. 21, č. 3 (2010), s. 229-251
    Poč.str.23 s.
    Jazyk dok.eng - angličtina
    Země vyd.GB - Velká Británie
    Klíč. slovaelastic-vosco plastic material ; dynamic contact problem ; normal damped response ; unilateral constraint ; Coulomb friction ; weak solution ; penalitazion ; smoothing
    Vědní obor RIVBA - Obecná matematika
    CEPIAA100750802 GA AV ČR - Akademie věd
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000277939900002
    EID SCOPUS77955851459
    DOI10.1017/S0956792510000045
    AnotaceWe consider a dynamic frictional contact problem between an elastic-visco-plastic body and a foundation. The contact is modelled with a normal damped response condition of such a type that the normal velocity is restricted with unilateral constraint, associated with the Coulomb law in which the coefficient of friction may depend on the velocity. We derive a variational formulation of the problem which has the form of a system coupling an integro differential equation for the stress field with an evolutionary variational inequality for the displacement field. This inequality is approximated by a variational equation using a smoothing of the friction and the penalty approximation of the unilateral condition. The existence of a weak solution to the variational equation is proved by the Galerkin method for an auxiliary problem with given viscoplastic part of the stress and a fixed point argument.
    PracovištěMatematický ústav
    KontaktJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Rok sběru2011
Počet záznamů: 1  

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