Article
Version 1
Preserved in Portico This version is not peer-reviewed
Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
Version 1
: Received: 1 October 2020 / Approved: 2 October 2020 / Online: 2 October 2020 (10:38:58 CEST)
A peer-reviewed article of this Preprint also exists.
Rudoy, E. Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions. Technologies 2020, 8, 59. Rudoy, E. Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions. Technologies 2020, 8, 59.
Abstract
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 $N\in (-1,1)$.
Keywords
Kirchhoff-Love plate; Composite material; Thin inclusion; Asymptotic analysis
Subject
Computer Science and Mathematics, Algebra and Number Theory
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment