Geodesic
A frictional contact problem with damage in viscoplasticity
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 255-281

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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, Rothe method, variational inequalities.
Mots-clés : quasistatic 
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     author = {A. Kasri},
     title = {A frictional contact problem with damage in viscoplasticity},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {255--281},
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     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a26/}
}
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A. Kasri. A frictional contact problem with damage in viscoplasticity. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 1, pp. 255-281. http://geodesic.mathdoc.fr/item/SEMR_2021_18_1_a26/