Differentiation of the energy functional in the equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion
- Authors: Neustroeva N.V.1,2, Lazarev N.P.3
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Affiliations:
- North-Eastern Federal University (NEFU) Institute of Mathematics and Informatics
- Lavrent’ev Institute of Hydrodynamics
- North-Eastern Federal University (NEFU) Scientific Research Institute of Mathematics
- Issue: Vol 11, No 2 (2017)
- Pages: 252-262
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212712
- DOI: https://doi.org/10.1134/S1990478917020119
- ID: 212712
Cite item
Abstract
Under consideration is the equilibrium of a composite plate containing a through vertical crack of variable length at the interface between thematrix and the elastic inclusion. The deformation of the matrix is described by the Timoshenko model, and the deformation of the elastic inclusion, by the Kirchhoff–Love model. Some formula is obtained for the derivative of the energy functional with respect to the crack length.
About the authors
N. V. Neustroeva
North-Eastern Federal University (NEFU) Institute of Mathematics and Informatics; Lavrent’ev Institute of Hydrodynamics
Author for correspondence.
Email: nnataliav@mail.ru
Russian Federation, ul. Kulakovskogo 48, Yakutsk, 677000; pr. Akad. Lavrent’eva 15, Novosibirsk, 630090
N. P. Lazarev
North-Eastern Federal University (NEFU) Scientific Research Institute of Mathematics
Email: nnataliav@mail.ru
Russian Federation, ul. Kulakovskogo 48, Yakutsk, 677000