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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 255–281
DOI: https://doi.org/10.33048/semi.2021.18.019 (Mi semr1360) 		 
Differentical equations, dynamical systems and optimal control

A frictional contact problem with damage in viscoplasticity

A. Kasri

Département de Mathématiques, Faculté des sciences, Université 20 Août 1955 - Skikda, B.P.26 Route El-Hadaiek Skikda-Algérie
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DOI: https://doi.org/10.33048/semi.2021.18.019
Abstract: In this paper, we study a quasistatic contact problem with damage between a viscoplastic body and an obstacle the so-called foundation. The contact is modelled with a general normal compliance condition and the associated version of Coulomb's law of dry friction. We provide a variational formulation of the mechanical problem for which we establish an existence theorem of a weak solution including a regularity result.
Keywords: viscoplastic material, damage, Coulomb's law of dry friction, normal compliance, quasistatic, Rothe method, variational inequalities.
Received June 22, 2020, published March 23, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 74C10, 49J40, 74A55, 74H20, 74M15
Language: English
Citation: A. Kasri, “A frictional contact problem with damage in viscoplasticity”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 255–281
Citation in format AMSBIB
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\by A.~Kasri
\paper A frictional contact problem with damage in viscoplasticity
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 255--281
\mathnet{http://mi.mathnet.ru/semr1360}
\crossref{https://doi.org/10.33048/semi.2021.18.019}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000641263700001}
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