О равновесии пластины с тонким жестким включением и свободным краем

Translated title of the contribution: Equilibrium problem for elastic plate with thin rigid inclusion and free edge

Research output: Contribution to journalArticlepeer-review

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.
Translated title of the contributionEquilibrium problem for elastic plate with thin rigid inclusion and free edge
Original languageRussian
Article number7
Pages (from-to)105-120
Number of pages16
JournalМатематические заметки СВФУ
Volume28
Issue number3
DOIs
Publication statusPublished - 2021

Keywords

  • Delamination
  • Elastic plate
  • Non-coercive boundary value problem
  • Thin rigid inclusion

OECD FOS+WOS

  • 1.01 MATHEMATICS
  • 1.02 COMPUTER AND INFORMATION SCIENCES

State classification of scientific and technological information

  • 27 MATHEMATICS

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