Scattering of normal shear waves at the tunnel cylindrical inclusion in an elastic layer with fixed faces
Keywords:
fixed isotropic elastic layer with centrally located inner cylindrical inclusion, diffractive scattering of normal shear waves, numerical-analytical study, the method of images, the series of basic solutions of wave equationsAbstract
Using the method of images by numerical-analytical solution of two-dimensional boundary problem of diffraction scattering running symmetric normal shear waves by a circular cylindrical isotropic elastic inclusion in plane-parallel deformable layer are obtained. Normal incidence the waves on inclusion with the axis lying in the median plane of the layer with fixed faces are investigated. Solution of the problem is reduced to an infinite system of linear algebraic equations for the coefficients of representations of wave fields in the areas of cross-section layer and inclusion in rows by the basic particular solutions of wave equations in cylindrical functions. The results of numerical investigation of characterizing a number of leading effects in the distribution of the wave motion in the near- and far- field diffraction by varying the relative radius of inclusions, the relative length of the incident wave on the lowest mode of dispersion spectrum, and the ratio of the shear modulus for the material layer and inclusion are presented.References
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