Izvorni znanstveni članak

https://doi.org/10.21857/m16wjcwzw9

Optimal control of a frictional contact problem for locking materials

Rachid Guettaf ; Laboratory of Dynamical systems, Faculty of Mathematics, University of Science and Technology Houari Boumediene, BP 32 EL Alia, 16111, Algiers, Algeria
Arezki Touzaline ; Laboratory of Dynamical systems, Faculty of Mathematics, University of Science and Technology Houari Boumediene, BP 32 EL Alia, 16111, Algiers, Algeria

Sažetak

In this paper, we consider a bilateral contact with Tresca's friction law between a locking material and a rigid foundation. The goal is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem that admits at least one solution. We also introduce the penalized and regularized optimal control problem for which we study the convergence when the penalization and regularization parameter tends to zero.

Ključne riječi

Optimal control; variational inequalities; locking materials; Tresca's friction law

Hrčak ID:

326525

URI

https://hrcak.srce.hr/326525

Datum izdavanja:

9.1.2025.

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