Equilibrium of a three-layer plate with crack

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.