Year: 2024
Type: article
Abstract: We consider a mathematical model that describes a static contact with a nonlinear elastic body and a foundation. The contact boundary is composed of two measurable parts. In one part, the contact is frictionless with Signorini's conditions. In the other part, the normal stress is given and associated with Coulomb's friction law. We state an optimal control problem that consists of leading the stress tensor as close as possible to a given target by acting with a control on the boundary. Then, we study the penalized and regularized control problem for which we establish a convergence result.
Authors: Rachid Guettaf, Arezki Touzaline
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405619838