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

0345046 - MÚ 2011 RIV GB eng J - Článek v odborném periodiku
Eck, Ch. - Jarušek, Jiří - Sofonea, M.
A dynamic elastic-visco-plastic unilateral contact problem with normal damped response and Coulomb friction.
European Journal of Applied Mathematics. Roč. 21, č. 3 (2010), s. 229-251. ISSN 0956-7925. E-ISSN 1469-4425
Grant CEP: GA AV ČR IAA100750802
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: elastic-vosco plastic material * dynamic contact problem * normal damped response * unilateral constraint * Coulomb friction * weak solution * penalitazion * smoothing
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.480, rok: 2010
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=7675484&fileId=S0956792510000045

We 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.
Trvalý link: http://hdl.handle.net/11104/0186412