Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions Full article
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Technologies
, E-ISSN: 2227-7080 |
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| Output data | Year: 2020, Volume: 8, Number: 4, Article number : 59, Pages count : 11 DOI: 10.3390/technologies8040059 | ||||
| Tags | KIRCHHOFF-LOVE PLATE, COMPOSITE MATERIAL, THIN INCLUSION, ASYMPTOTIC ANALYSIS | ||||
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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 the width of the inclusion ε as εN with N<1. The passage to the limit as the parameter ε 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∈(−1,1).
Cite:
Rudoy E.
Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
Technologies. 2020. V.8. N4. 59 :1-11. DOI: 10.3390/technologies8040059 WOS Scopus РИНЦ OpenAlex
Asymptotic Justification of Models of Plates Containing Inside Hard Thin Inclusions
Technologies. 2020. V.8. N4. 59 :1-11. DOI: 10.3390/technologies8040059 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Oct 1, 2020 |
| Accepted: | Oct 23, 2020 |
| Published print: | Oct 28, 2020 |
Identifiers:
| Web of science: | WOS:000601795400001 |
| Scopus: | 2-s2.0-85104780894 |
| Elibrary: | 65365892 |
| OpenAlex: | W3090273784 |