Optimal Control of a Frictional Contact Problem

作     者：Arezki TOUZALINE 

作者机构：Laboratoire de Systèmes DynamiquesFaculté de MathématiquesUSTHB 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2015年第31卷第4期

页      面：991-1000页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 070105[理学-运筹学与控制论] 081101[工学-控制理论与控制工程] 0701[理学-数学] 071101[理学-系统理论] 0811[工学-控制科学与工程] 080102[工学-固体力学] 0801[工学-力学（可授工学、理学学位）] 

主　　题：optimal control of variational inequalities elastic materials Tresca's friction, weak solution 

摘      要：We consider a mathematical model which describes a contact between a deformable body and a foundation. The contact is bilateral and modelled with Tresca＇s friction law. The goal of this paper 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 which admits at least one solution. We also introduce the regularized control problem for which we study the convergence when the regularization parameter tends to zero. Finally, an optimally condition is established for this problem.