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On the solvability of dynamic elastic-visco-plastic contact problems with adhesion
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SYSNO ASEP 0334187 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Ostatní články Title On the solvability of dynamic elastic-visco-plastic contact problems with adhesion Title Řešitelnost dynamických viskoelastoplastických kontaktních úloh s adhezí Author(s) Jarušek, Jiří (MU-W) RID, ORCID, SAI
Sofonea, M. (RO)Source Title Annals of the Academy of Romanian Scientists, Series on Mathematics and its Applications - ISSN 2066-6594
Roč. 1, č. 2 (2009), s. 191-214Number of pages 24 s. Language eng - English Country RO - Romania Keywords elastic-visco-plastic material ; dynamic process ; frictionless contact ; normal compliance ; Signorini condition ; adhesion ; variational formulation ; weak solution ; a priori estimates Subject RIV BA - General Mathematics R&D Projects IAA100750802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) Annotation 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 system in 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 compactness properties to obtain a solution to the original model, by passing to the limit as the penalization parameter converges to zero. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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