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Equilibrium of a Three-Layer Plate with a Crack

Journal of Applied and Industrial Mathematics, ISSN: 1990-4797, Vol: 16, Issue: 1, Page: 122-135
2022
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Article Description

Abstract: We study the problem of equilibrium for a three-layer plate clamped at the outer edge andcontaining a through vertical crack. The three-layer plate consists of two structural layersconsidered as anisotropic Kirchhoff–Love plates and a soft layer between them. Thenonpenetration condition is imposed at the crack edges in the structural layers. The passage tothe limit as the width of the soft layer tends to zero and its reduced stiffness tends to infinity isconsidered. The unique solvability is shown and variational and differential statements arepresented for both problems.

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