Under study are the boundary value problems that describe the equilibria of two-dimensional elastic bodies with thin weakly curved inclusions in the presence of delamination, which means that there is a crack between the inclusions and an elastic body. Some inequality-type nonlinear boundary conditions are imposed on the crack faces that exclude mutual penetration. This puts the problems into the class of those with unknown contact area. We assume that the inclusions have a contact point, find boundary conditions at the junction point, and justify passage to infinity with respect to the rigidity parameter of the thin inclusion. In particular, we obtain and analyze limit models.

中文翻译：

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弹性体中两个弱弯曲夹杂物的连接问题

正在研究的边界值问题描述了二维弹性体与薄弱弯曲夹杂物在分层的情况下的平衡，这意味着夹杂物和弹性体之间存在裂缝。在裂纹面上施加一些不等式非线性边界条件，排除相互渗透。这将问题归入接触面积未知的一类。我们假设夹杂物有一个接触点，在连接点找到边界条件，并根据薄夹杂物的刚度参数证明无限大的通道。特别是，我们获得并分析了极限模型。