Asymptotic modelling of bonded plates by a soft thin adhesive layer Full article
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Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2020, Volume: 17, Pages: 615-625 Pages count : 11 DOI: 10.33048/semi.2020.17.040 | ||||
| Tags | Biharmonic equation; Bonded structure; Composite material; Kirchhoff-Love's plate; Spring type interface condition | ||||
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Abstract:
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.
Cite:
Rudoy E.M.
Asymptotic modelling of bonded plates by a soft thin adhesive layer
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. V.17. P.615-625. DOI: 10.33048/semi.2020.17.040 WOS Scopus РИНЦ OpenAlex
Asymptotic modelling of bonded plates by a soft thin adhesive layer
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. V.17. P.615-625. DOI: 10.33048/semi.2020.17.040 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Jan 21, 2020 |
Identifiers:
| Web of science: | WOS:000529942900001 |
| Scopus: | 2-s2.0-85091378524 |
| Elibrary: | 44726552 |
| OpenAlex: | W3020177222 |