Abstract

The antiplane steady dynamic problem of the theory of elasticity for an isotropic layer and a half-layer weakened by tunnel cavities of arbitrary cross section is investigated. A radiating monochromatic shear wave (SH-wave) is considered as loading. Using the constructed Green's functions for a layer and a half- layer, the corresponding boundary problems are reduced to the Fredholm's integral equations of the second kind. The obtained algorithm is realized numerically by the quadrature method. Results specifying the influence of the openings configuration, their number and relative position, types of edge conditions and inertia effects on tangential stress concentration are given.

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