О равновесии двуслойной конструкции с верхним слоем, накрывающим вершину 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: 2020, Volume: 17, Pages: 141–160 Pages count : 20 DOI: 10.33048/semi.2020.17.010 | ||
| Tags | Damage parameter; Defect; Nonpenetration condition; Optimal control problem; Two-layer structure; Variational inequality | ||
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Abstract:
The equilibrium problem of a two-layer elastic structure is investigated. In the lower layer there is a rectilinear defect. The upper layer covers one of the defect tips and is glued to the lower layer along its edge. Nonlinear boundary conditions are used to model the defect. Using the variational approach, the existence of a solution of the problem is established. Passages to the limit in the problem with respect to a parameter characterizing the elasticity of the upper layer, as well as to the defect damage parameter are carried out. The optimal control problem is considered, in which the cost functional is the derivative of the energy functional with respect to the defect length, and two parameters mentioned above act as control functions. The solvability of the optimal control problem is proved.
Cite:
Фанкина И.В.
О равновесии двуслойной конструкции с верхним слоем, накрывающим вершину дефекта
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. Т.17. С.141–160. DOI: 10.33048/semi.2020.17.010 WOS Scopus РИНЦ OpenAlex
О равновесии двуслойной конструкции с верхним слоем, накрывающим вершину дефекта
Сибирские электронные математические известия / Siberian Electronic Mathematical Reports. 2020. Т.17. С.141–160. DOI: 10.33048/semi.2020.17.010 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Sep 27, 2020 |
Identifiers:
| Web of science: | WOS:000517093100001 |
| Scopus: | 2-s2.0-85091392527 |
| Elibrary: | 44726523 |
| OpenAlex: | W3015340819 |