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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
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
Citation:
A. Kasri, “A frictional contact problem with damage in viscoplasticity”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 255–281
Linking options:
https://www.mathnet.ru/eng/semr1360 https://www.mathnet.ru/eng/semr/v18/i1/p255
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Abstract page: | 145 | Full-text PDF : | 74 | References: | 31 |
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