On modeling thin inclusions in elastic bodies with a damage parameter

Результат исследования: Научные публикации в периодических изданияхстатья

3 Цитирования (Scopus)


In this paper, we analyze equilibrium problems for 2D elastic bodies with two thin inclusions in the presence of damage. A delamination of the inclusions from the matrix is assumed, thus forming a crack between the elastic body and the inclusions. Nonlinear boundary conditions at the crack faces are considered to prevent a mutual penetration between the faces. Weak and strong formulations of the problems are discussed. The paper provides an asymptotic analysis with respect to the damage parameter. An optimal control problem is analyzed with a cost functional to be equal to the derivative of the energy functional with respect to the crack length, and the damage parameter being a control function.

Язык оригиналаанглийский
Страницы (с-по)2742-2753
Число страниц12
ЖурналMathematics and Mechanics of Solids
Номер выпуска9
СостояниеОпубликовано - 1 сен 2019


  • 27.35 Математические модели естественных наук и технических наук. Уравнения математической физики

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