Asymptotic modelling of bonded plates by a soft thin adhesive layer

Результат исследования: Научные публикации в периодических изданияхстатьярецензирование

3 Цитирования (Scopus)


In the present paper, a composite structure is considered. The structure is made of three homogeneous plates: two linear elastic adherents and a thin adhesive. It is assumed that elastic properties of the adhesive layer depend on its thickness "as" to the power of 3. Passage to the limit as " goes to zero is justified and a limit model is found in which the influence of the thin adhesive layer is replaced by an interface condition between adherents. As a result, we have analog of the spring type condition in the plate theory. Moreover, a representation formula of the solution in the adhesive layer has been obtained.

Язык оригиналаанглийский
Страницы (с-по)615-625
Число страниц11
ЖурналСибирские электронные математические известия
СостояниеОпубликовано - 2020

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