Variational approach to modeling soft and stiff interfaces in the Kirchhoff-Love theory of plates

Alexey Furtsev, Evgeny Rudoy

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

Аннотация

Within the framework of the Kirchhoff-Love theory, a thin homogeneous layer (called adhesive) of small width between two plates (called adherents) is considered. It is assumed that elastic properties of the adhesive layer depend on its width which is a small parameter of the problem. Our goal is to perform an asymptotic analysis as the parameter goes to zero. It is shown that depending on the softness or stiffness of the adhesive, there are seven distinct types of interface conditions. In all cases, we establish weak convergence of the solutions of the initial problem to the solutions of limiting ones in appropriate Sobolev spaces. The asymptotic analysis is based on variational properties of solutions of corresponding equilibrium problems.

Язык оригиналаанглийский
Страницы (с-по)562-574
Число страниц13
ЖурналInternational Journal of Solids and Structures
Том202
DOI
СостояниеОпубликовано - 1 окт 2020

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