Geodesic
Equilibrium of a three-layer plate with crack
Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 105-120.

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An equilibrium problem of a three-layer plate which is clamped at outer edge and containes a through vertical crack is studied. The three-layer plate consists of two structural layers which are considered as anisotropic Kirchhoff—Love plates and a soft layer between them. At the crack edges in the structural layers a non-penetration condition is posed. Passage to the limit as the width of soft layer tends to zero and its reduced stiffness tends to infinity is considered. For the both problems a unique solvability is shown, variational and differentional statements are presented.
Keywords: Kirchhoff—Love plate, three-layer plate, crack with non-penetration condition. . 
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E. V. Pyatkina. Equilibrium of a three-layer plate with crack. Sibirskij žurnal industrialʹnoj matematiki, Tome 25 (2022) no. 1, pp. 105-120. http://geodesic.mathdoc.fr/item/SJIM_2022_25_1_a7/

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