Semirigid inclusions in elastic bodies: Mechanical interplay and optimal control

Alexander Khludnev, Tatiana Popova

Результат исследования: Научные публикации в периодических изданияхстатья

8 Цитирования (Scopus)

Аннотация

The paper concerns an analysis of an equilibrium problem for 2D elastic body with two semirigid inclusions. It is assumed that inclusions have a joint point, and we investigate a junction problem for these inclusions. The existence of solutions is proved, and different equivalent formulations of the problem are proposed. We investigate a convergence to infinity of a rigidity parameter of the semirigid inclusion. It is proved that in the limit, we obtain an equilibrium problem for the elastic body with a rigid inclusion and a semirigid one. A parameter identification problem is investigated. In particular, the existence of a solution to a suitable optimal control problem is proved.

Язык оригиналаанглийский
Страницы (с-по)253-262
Число страниц10
ЖурналComputers and Mathematics with Applications
Том77
Номер выпуска1
DOI
СостояниеОпубликовано - 1 янв 2019

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