@misc{Rożnowski_T._Surface_1992, author={Rożnowski, T.}, volume={44}, number={4}, copyright={Creative Commons Attribution BY 4.0 license}, journal={Archives of Mechanics}, address={Warszawa}, howpublished={online}, year={1992}, publisher={Polish Scientific Publishers IFTR}, language={eng}, abstract={A Rayleigh-type surface stress wave propagation is considered in a “weakly anisotropic” semispace of “small nonhomogeneity”; two elastic shear moduli are assumed to be monotone functions of depth, the ratio of Young’s moduli is limited to the first two terms of a power series expansion. Waves of such type are described in part I by the solution of an ordinary, fourth order differential equation with variable coefficients satisfying the corresponding boundary conditions (see [1], Sec. 4). In this particular case of variability of the elastic moduli, the problem has a closed-form solution expressed in terms of Bessel functions. Analysis of the dispersion equation proves the Rayleigh wave speed to depend on the wave- length and on the anisotropy and nonhomogeneity parameters. Using the asymptotic expansions of Bessel functions, the dispersion equation is written in an approximate form enabling a numerical analysis of the influence of the anisotropy and nonhomogeneity parameters upon the surface wave speed.}, title={Surface stress waves in a transversely isotropic nonhomogeneous elastic semispace}, title={Part II}, title={Surface stress wave in a ”weakly anisotropic” semispace with ”small nonhomogeneity”}, type={Text}, URL={http://rcin.org.pl/Content/68364/PDF/WA727_18038_44-4-1992_AMS_Roznowski-06.pdf}, keywords={Mechanika stosowana - czasopisma [KABA]}, }