Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
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An equilibrium problem of the Kirchhoff-Love plate containing a nonhomogeneous inclusion is considered. It is assumed that elastic properties of the inclusion depend on a small parameter characterizing width of the inclusion $\varepsilon$ as $\varepsilon^N$ with $N<1$. The passage to the limit as the parameter $\varepsilon$ tends to zero is justified, and an asymptotic model of a plate containing a thin inhomogeneous hard inclusion is constructed. It is shown that there exists two types of thin inclusions: rigid inclusion ($N<-1$) and elastic inclusion ($N=-1$). The inhomogeneity disappears in the case of $N\in (-1,1)$.
2018 ◽
Vol 22
(1)
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pp. 53-62
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2016 ◽
Vol 10
(2)
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pp. 264-276
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1998 ◽
Vol 08
(01)
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pp. 139-156
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2017 ◽
Vol 11
(2)
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pp. 252-262
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2016 ◽
Vol 2016
(1)
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