Abstract

The object of study is the behavior of two semi-infinite tectonic plates under vibration conditions located on a deformable ground in the form a deformable layer. It is taken to be that the plates have parallel vertical boundaries and two positions on the layer -- when there is some distance between their edges and when there is not. An antiplane boundary problem is studied on the assumption that the edges of the tectonic plates act harmonically in time with the same frequency of stress, parallel to one of the coordinate axes. The boundary problem stated for a triblock structure is studied by the block element method, the algorithm of which requires the implementing of exterior form operations, exterior analysis, and the creating of the quotient topology for the block structure. The problem reduces to studying functional equations the solutions of which are the contact stresses. The concentrations of contact stresses which show the probability of a starting earthquake when the tectonic plates come together are studied.

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