Variational and numerical analysis of a dynamic frictionless contact problem with adhesion

Authors:
O. Chau;J. R. Fernández;W. Han;M. Sofonea
Affiliations:
Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France;Departamento de Matemática Aplicada, Facultade de Matemáticas, Universidade de Santiago de Compostela, Campus Sur, 15706 Santiago de Compostela, Spain;Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA;Laboratoire de Théorie des Systèmes, Université de Perpignan, 52 Avenue de Villeneuve, 66860 Perpignan, France
Venue:
Journal of Computational and Applied Mathematics
Year:
2003

Citing 3
Cited 3

On a contact problem for elastic-viscoplastic bodies

Nonlinear Analysis: Theory, Methods & Applications
Finite Element Method for Elliptic Problems

Finite Element Method for Elliptic Problems
Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion

Journal of Computational and Applied Mathematics

A dynamic viscoelastic contact problem with normal compliance and damage

Finite Elements in Analysis and Design
A dynamic viscoelastic contact problem with normal compliance and damage

Finite Elements in Analysis and Design
A normal compliance contact problem in viscoelasticity: An a posteriori error analysis and computational experiments

Journal of Computational and Applied Mathematics

Quantified Score

Hi-index	7.29

Visualization

Abstract

We study a dynamic frictionless contact problem between a viscoelastic body and an obstacle, the so-called foundation. The contact is subjected to an adhesion effect, whose evolution is described by an ordinary differential equation. For the variational formulation of the contact problem, we present and prove an existence and uniqueness result. A fully discrete scheme is introduced to solve the problem. Under certain solution regularity assumptions, we derive an optimal order error estimate. Some numerical examples are included to show the performance of the method.