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.

UDC: 517.9

MSC: 74C10, 49J40, 74A55, 74H20, 74M15

Received June 22, 2020, published March 23, 2021

Language: English

DOI: 10.33048/semi.2021.18.019

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