О равновесии двуслойной конструкции при наличии дефекта Full article
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Сибирские электронные математические известия / Siberian Electronic Mathematical Reports
ISSN: 1813-3304 |
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| Output data | Year: 2019, Volume: 16, Pages: 959–974 Pages count : 16 DOI: 10.33048/semi.2019.16.065 | ||
| Tags | Damage parameter; Defect; Nonpenetration condition; Two-layer structure; Variational inequality | ||
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Abstract:
The equilibrium problem of the structure, which consists of two elastic plates, is considered. It is assumed that the plates are flatly deformed, and the layers are modeled as elastic bodies. Plates are glued along a given line. In addition there is a defect along the gluing line in one of the layers. On the defect faces, nonlinear boundary conditions containing the damage parameter are established. Using the variational approach, the solvability of this problem is proved. In the problem, the passage to the limit is carried out when the damage parameter tends to zero and to infinity. Differential formulations for the corresponding limit problems are obtained. The case of the rigidity of one of the layers tends to infinity is considered; the obtained limit problem is analyzed.
Cite:
Фанкина И.В.
О равновесии двуслойной конструкции при наличии дефекта
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2019. Т.16. С.959–974. DOI: 10.33048/semi.2019.16.065 WOS Scopus РИНЦ OpenAlex
О равновесии двуслойной конструкции при наличии дефекта
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2019. Т.16. С.959–974. DOI: 10.33048/semi.2019.16.065 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 9, 2019 |
Identifiers:
| Web of science: | WOS:000477967600001 |
| Scopus: | 2-s2.0-85071198577 |
| Elibrary: | 42735109 |
| OpenAlex: | W3015558309 |