Abstract
The initial boundary value problem is reduced to an infinite system of linear algebraic equations by superposition of series in terms of basis systems of particular solutions for the generalized metaharmonic equations in local cylindrical coordinates coupled to the center of the cavity cross sections. Some numerical examples are used to estimate the effect on the dynamic stress fields owing to the relative incident wavelength, the degree of shear anisotropy of the mass, and the relative distance between the cavities.
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Storozhev, V.I. Scattering of Longitudinal Shear Waves on Two Tunnel Cavities in an Anisotropic Mass of an Orthorhombic System. Journal of Mathematical Sciences 103, 373–378 (2001). https://doi.org/10.1023/A:1011322530670
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DOI: https://doi.org/10.1023/A:1011322530670