Analysis and Control of a General Elliptic Quasivariational-Hemivariational Inequality
Keywords:
Quasivariational-hemivariational inequality, existence, uniqueness, optimal control, locking material, frictional contact problem, unilateral constraint, weak solution.Abstract
We consider a general elliptic quasivariational-hemivariational inequality in real Hilbert spaces for which we provide a solution existence and uniqueness result, a convergent iterative procedure, and a Lipschitz continuous dependence result that we use in order to deduce the existence of a solution to an associated optimal control problem. As an example for applications of the abstract
results, we consider a new model of static contact problem which describes the equilibrium of an elastic body with a reactive foundation. The weak formulation of the model is a quasivariational hemivariational inequality for the displacement field. We present theoretical results on the analysis and control of the contact problem.
Downloads
Downloads
Published
Issue
Section
License
You are free to:
- Share — copy and redistribute the material in any medium or format for any purpose, even commercially.
- Adapt — remix, transform, and build upon the material for any purpose, even commercially.
- The licensor cannot revoke these freedoms as long as you follow the license terms.
Under the following terms:
- Attribution — You must give appropriate credit , provide a link to the license, and indicate if changes were made . You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
Notices:
You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation .
No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material.
