Equilibrium of an elastic body with closely spaced thin inclusions Full article
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Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 |
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| Output data | Year: 2018, Volume: 58, Pages: 1660–1672 Pages count : DOI: 10.1134/S096554251810007X | ||||
| Tags | thin inclusion crack boundary conditions of mutual nonpenetration stiffness of inclusion limiting models | ||||
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Abstract:
Problems with unknown boundaries describing an equilibrium of two-dimensional elastic bodies with two thin closely spaced inclusions are considered. The inclusions are in contact with each other, which means that there is a crack between them. On the crack faces, nonlinear boundary conditions of the inequality type that prevent the interpenetration of the faces are set. The unique solvability of the problems is proved. The passages to the limit as the stiffness parameter of thin inclusions tends to infinity are studied, and limiting models are analyzed.
Cite:
Khludnev A.M.
Equilibrium of an elastic body with closely spaced thin inclusions
Computational Mathematics and Mathematical Physics. 2018. V.58. P.1660–1672. DOI: 10.1134/S096554251810007X WOS Scopus РИНЦ OpenAlex
Equilibrium of an elastic body with closely spaced thin inclusions
Computational Mathematics and Mathematical Physics. 2018. V.58. P.1660–1672. DOI: 10.1134/S096554251810007X WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Feb 13, 2017 |
| Published print: | Nov 7, 2018 |
Identifiers:
| Web of science: | WOS:000449497100011 |
| Scopus: | 2-s2.0-85056094539 |
| Elibrary: | 37216873 |
| OpenAlex: | W2900020631 |