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Mathematics
Equilibrium problems for elastic plate with thin rigid inclusion and free edge
A. M. Khludnevab a Lavrentiev Institute of Hydrodynamics, 15 Lavrentiev Avenue, Novosibirsk 630090, Russia
b Novosibirsk State University, 1 Pirogov Street, Novosibirsk, 630090, Russia
Abstract:
The paper investigates equilibrium problems for an elastic plate containing a thin rigid inclusion in the case of free edge. The inclusion may be delaminated from the elastic plate thus forming an interfacial crack. The considered boundary conditions lead to non-coercive boundary value problems. The cases of possible fixing of the plate at one or two given points are analyzed. Necessary and sufficient conditions for the existence of solutions to the problems under consideration are found.
Keywords:
elastic plate, thin rigid inclusion, delamination, non-coercive boundary value problem.
Received: 28.01.2021 Revised: 28.02.2021 Accepted: 26.08.2021
Citation:
A. M. Khludnev, “Equilibrium problems for elastic plate with thin rigid inclusion and free edge”, Mathematical notes of NEFU, 28:3 (2021), 105–120
Linking options:
https://www.mathnet.ru/eng/svfu328 https://www.mathnet.ru/eng/svfu/v28/i3/p105
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Abstract page: | 152 | Full-text PDF : | 74 |
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