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. <i>Electronic Journal of Differential Equations, 2005</i>(99), pp. 1-13.
Rights
Attribution 4.0 International