Abstract
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.
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