Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials

Date

2005-09-19

Authors

Touzaline, Arezki
Mignot, Alain

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

This paper shows the existence of a solution of the quasi-static unilateral contact problem with nonlocal friction law for nonlinear elastic materials. We set up a variational incremental problem which admits a solution, when the friction coefficient is small enough, and then by passing to the limit with respect to time we obtain a solution.

Description

Keywords

Nonlinear elasticity, Nonlocal friction, Incremental, Variational inequality, Monotone

Citation

Touzaline, A., & Mignot, A. (2005). Existence of solutions for quasistatic problems of unilateral contact with nonlocal friction for nonlinear elastic materials. Electronic Journal of Differential Equations, 2005(99), pp. 1-13.

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Attribution 4.0 International

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