On an optimal control problem for the shape of thin inclusions in elastic bodies

被引：0

作者：

Shcherbakov V.V. ^{[1
]}

机构：

[1] Lavrent'ev Institute of Hydrodynamics, Novosibirsk, 630090

来源：

Journal of Applied and Industrial Mathematics | 2013年 / 7卷 / 3期

关键词：

crack; derivative of energy functional; nonlinear boundary conditions; optimal control; thin rigid inclusion;

D O I：

10.1134/S1990478913030174

中图分类号：

学科分类号：

摘要：

An optimal control problem is considered for a two-dimensional elastic body with a straight thin rigid inclusion and a crack adjacent to it. It is assumed that the thin rigid inclusion delaminates and has a kink. On the crack faces the boundary conditions are specified in the form of equalities and inequalities which describe the mutual nonpenetration of the crack faces. The derivative of the energy functional along the crack length is used as the objective functional, and the position of the kink point, as the control function. The existence is proved of the solution to the optimal control problem. © 2013 Pleiades Publishing, Ltd.

引用

页码：435 / 443

页数：8

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