A VISCOPLASTIC CONTACT PROBLEM WITH FRICTION AND ADHESION

被引：2

作者：

Kasri, Abderrezak ^{[1
]}

机构：

[1] Univ 20 Aout 1955 Skikda, Fac Sci, Dept Math, BP 26 Route El Hadaiek, Skikda, Algeria

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

关键词：

viscoplastic materials; adhesion; quasistatic process; Coulomb's law of dry friction; normal compliance; Rothe method; lower semicontinuity; the Banach fixed point theorem; variational inequalities; EXISTENCE;

D O I：

10.33048/semi.2020.17.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to present a new result in the study of a contact problem between a viscoplastic body and an obstacle, the so-called foundation. The process is supposed to be quasistatic and the contact is modelled with a version of Coulomb's law of dry friction, normal compliance and an ordinary differential equation which describes the adhesion effect. We derive a variational formulation for the model and under smallness assumption, we establish the existence of a weak solution to the problem. The proof is based on the Rothe time-discretization method, the Banach fixed point theorem and arguments of monotonicity, compactness and lower semicontinuity.

引用

页码：540 / 565

页数：26

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