Frictionless contact problem with adhesion for nonlinear elastic materials
Date
2007-12-12
Authors
Touzaline, Arezki
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
We consider a quasistatic frictionless contact problem for a nonlinear elastic body. The contact is modelled with Signorini's conditions. In this problem we take into account of the adhesion which is modelled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We derive a variational formulation of the mechanical problem and we establish an existence and uniqueness result by using arguments of time-dependent variational inequalities, differential equations and Banach fixed point. Moreover, we prove that the solution of the Signorini contact problem can be obtained as the limit of the solution of a penalized problem as the penalization parameter converges to 0.
Description
Keywords
Nonlinear elasticity, Adhesive contact, Frictionless, Variational inequality, Weak solution
Citation
Touzaline, A. (2007). Frictionless contact problem with adhesion for nonlinear elastic materials. <i>Electronic Journal of Differential Equations, 2007</i>(174), pp. 1-13.
Rights
Attribution 4.0 International