We determine the stress state formed in the elastic half space containing a thin rigid striplike inclusion inclined to the boundary at an arbitrary angle under harmonic longitudinal shear vibrations. We propose a numerical method for the solution of the obtained singular integral equation with fixed singularity. This method takes into account the singularity of the solution and is based on the application of special quadrature formulas for the evaluation of singular integrals.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 56, No. 2, pp. 124–135, April–June, 2013.
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Popov, V.G. Harmonic Vibrations Under the Conditions of Antiplane Deformation of a Half Space Containing a Thin Rigid Striplike Inclusion Crossing the Boundary. J Math Sci 203, 149–164 (2014). https://doi.org/10.1007/s10958-014-2097-3
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DOI: https://doi.org/10.1007/s10958-014-2097-3