Under study is some problem concerning the equilibrium of a two-layer structure whose layers are some elastic plates. The upper layer is glued to the lower one along a part of the edge. The behavior of the plates is modelled in the framework of the plane theory of elasticity. Along the gluing line in the lower layer, there is a crack crossing the external boundary at zero angle. On the crack faces, the nonlinear boundary conditions are imposed that exclude their mutual penetration. The solvability of the equilibrium problem is considered as well as the behavior of the solution in the case when the elasticity moduli of upper plate tend to zero or to infinity.

中文翻译：

---

含裂纹的两层弹性结构的平衡

正在研究中的一个问题是关于两层结构的平衡性问题，该两层结构的层是一些弹性板。上层沿着边缘的一部分粘贴到下层。板的行为是在平面弹性理论的框架内建模的。沿着下层的粘合线，有一条裂缝以零角度横穿外边界。在裂纹面上，施加了非线性边界条件，以排除它们的相互渗透。当上板的弹性模量趋于零或无穷大时，考虑平衡问题的可解性以及溶液的行为。