<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of this paper is to study a frictional contact problem between an elastic body and a foundation. We focus on the optimal control of the model which consists of acting with a control on a portion of the boundary of the body and leading the stress tensor as close as possible to a given target. We state an optimal control problem for which we establish an existence theorem of the solution. We then introduce a sequence of regularized problems depending on a positive parameter <italic>α</italic> and we study the convergence of the sequence of the solutions when the parameter <italic>α</italic> tends to zero. Finally, an optimality condition is established for this problem.</p>
</abstract>

The aim of this paper is to study a frictional contact problem between an elastic body and a foundation. We focus on the optimal control of the model which consists of acting with a control on a portion of the boundary of the body and leading the stress tensor as close as possible to a given target. We state an optimal control problem for which we establish an existence theorem of the solution. We then introduce a sequence of regularized problems depending on a positive parameter α and we study the convergence of the sequence of the solutions when the parameter α tends to zero. Finally, an optimality condition is established for this problem.

Optimal control of a contact problem with slip dependent friction

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Optimal control of a contact problem with slip dependent friction"}

The aim of this paper is to study a frictional contact problem between an elastic body and a foundation. We focus on the optimal control of the model which...

Optimal control of a contact problem with slip dependent friction

Published Online: Jun 20, 2022

Page range: 18 - 38

DOI: https://doi.org/10.2478/awutm-2022-0003

Keywords
optimal control, variational inequalities, elastic materials, slip-dependent friction, regularized problem

© 2022 Abderrezak Kasri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Optimal control of a contact problem with slip dependent friction

Published Online: Jun 20, 2022

Page range: 18 - 38

DOI: https://doi.org/10.2478/awutm-2022-0003

Keywordsoptimal control, variational inequalities, elastic materials, slip-dependent friction, regularized problem

© 2022 Abderrezak Kasri et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
optimal control, variational inequalities, elastic materials, slip-dependent friction, regularized problem