Equilibrium problems for elastic plate with thin rigid inclusion and free edge

  • Khludnev Alexander M., khlud@hydro.nsc.ru Lavrentiev Institute of Hydrodynamics, 15 Lavrentiev Avenue, Novosibirsk 630090, Russia Novosibirsk State University, 1 Pirogov Street, Novosibirsk, 630090, Russia
Keywords: elastic plate, thin rigid inclusion, delamination, non-coercive boundary value problem

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.

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How to Cite
Khludnev, A. (2021) “Equilibrium problems for elastic plate with thin rigid inclusion and free edge”, Mathematical notes of NEFU, 28(3), pp. 105-120. doi: https://doi.org/10.25587/SVFU.2021.64.10.007.
Section
Mathematics