Аннотация
The paper is concerned with an identification of a rigidity parameter for thin inclusions located inside elastic bodies. It is assumed that inclusions cross an external boundary of the elastic body. In addition to this, a delamination of the inclusions is assumed thus providing a crack between inclusions and the elastic body. To exclude a mutual penetration between crack faces, inequality-type boundary conditions are imposed. We consider elastic inclusions as well as rigid and rigid-elastic inclusions. To find a solution of the problem formulated, we solve an optimal control problem. A cost functional characterizes a displacement of the external part of the inclusion, and a rigidity parameter serves as a control function. We prove a solution existence of the problems formulated.
Язык оригинала | английский |
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Страницы (с-по) | 281-297 |
Число страниц | 17 |
Журнал | Journal of Optimization Theory and Applications |
Том | 172 |
Номер выпуска | 1 |
DOI | |
Состояние | Опубликовано - 1 янв 2017 |