ON THE EQUILIBRIUM OF A TWO-LAYER ELASTIC STRUCTURE WITH A CRACK Full article
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Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 |
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| Output data | Year: 2019, Volume: 13, Number: 4, Pages: 629-641 Pages count : 13 DOI: 10.1134/S1990478919040069 | ||
| Tags | crack; fictitious domain method; nonpenetration condition; two-layer structure; variational inequality | ||
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Abstract:
Under study is some problem concerning the equilibrium of a two-layer structure whose layers are some elastic plates. The upper layer is glued to the lower one along a part of the edge. The behavior of the plates is modelled in the framework of the plane theory of elasticity. Along the gluing line in the lower layer, there is a crack crossing the external boundary at zero angle. On the crack faces, the nonlinear boundary conditions are imposed that exclude their mutual penetration. The solvability of the equilibrium problem is considered as well as the behavior of the solution in the case when the elasticity moduli of upper plate tend to zero or to infinity.
Cite:
FANKINA I.V.
ON THE EQUILIBRIUM OF A TWO-LAYER ELASTIC STRUCTURE WITH A CRACK
Journal of Applied and Industrial Mathematics. 2019. V.13. N4. P.629-641. DOI: 10.1134/S1990478919040069 Scopus РИНЦ OpenAlex
ON THE EQUILIBRIUM OF A TWO-LAYER ELASTIC STRUCTURE WITH A CRACK
Journal of Applied and Industrial Mathematics. 2019. V.13. N4. P.629-641. DOI: 10.1134/S1990478919040069 Scopus РИНЦ OpenAlex
Original:
Фанкина И.В.
О равновесии двуслойной упругой конструкции при наличии трещины
Сибирский журнал индустриальной математики. 2019. Т.22. №4. С.107–120. DOI: 10.33048/sibjim.2019.22.411 РИНЦ OpenAlex
О равновесии двуслойной упругой конструкции при наличии трещины
Сибирский журнал индустриальной математики. 2019. Т.22. №4. С.107–120. DOI: 10.33048/sibjim.2019.22.411 РИНЦ OpenAlex
Identifiers:
| Scopus: | 2-s2.0-85078954322 |
| Elibrary: | 43250688 |
| OpenAlex: | W3004717829 |