The article considers the problem on compression of an isotropic medium with a variable-width slot with cohesive zones at the ends. Under the action of tectonic and gravitational forces in rock mass, contact zones appear between the slot surfaces. The author analyzes the case of a number of the contact zones between the slot surfaces. In a part of the contact zone, cohesion of the slot edges takes place, while sliding is possible in the other part. The unknown parameters of the partial closure of the slot are found by solving a system of singular integro-differential equations. The contact stresses, the cohesion forces, as well as the sizes of the contact areas, cohesion zones and pre-fracture end zones are determined.

中文翻译：

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模拟岩体中具有粘性端区的可变宽度槽缝的部分闭合

本文考虑了具有可变宽度狭缝的各向同性介质的压缩问题，该狭缝在端部具有内聚区。在岩体构造力和重力作用下，槽面之间出现接触带。作者分析了槽面之间存在多个接触区的情况。在接触区的一部分中，狭槽边缘发生粘合，而在另一部分中可能滑动。通过求解奇异积分微分方程组，找到了槽部分闭合的未知参数。确定接触应力、内聚力以及接触区域、内聚区和预断裂端区的大小。