We study the problems of compression and shear of an elastic strip containing a semiinfinite crack on the boundary of the strip and a rigid wall. The crack is opened in the middle and closed at the ends, where its faces are under the conditions of friction sliding. By the Wiener–Hopf method, we reduce the system of integral equations of the problem to an infinite system of algebraic equations. The stress intensity factor and the crack opening displacements are determined.

中文翻译：

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弹性带与刚性壁边界上半无限裂缝的局部张开

我们研究了弹性带的压缩和剪切问题，该弹性带在带和刚性壁的边界上包含半无限裂纹。裂纹在中间打开，在端部闭合，其面处于摩擦滑动的条件下。通过 Wiener-Hopf 方法，我们将问题的积分方程组简化为无限代数方程组。确定应力强度因子和裂纹张开位移。