Polish Scientific Publishers IFTR
Od Vol. 43, issue 1 (1991) wyd.: Polish Scientific Publishers = PWN ; Od Vol. 50, issue 4 (1998) wyd.: Agencja Reklamowo-Wydawnicza A. Grzegorczyk ; Od Vol. 53, issue 4/5 (2001) wyd: PAS. IFTR ; [1], 361-486 s. ; 24 cm
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.
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Institute of Fundamental Technological Research of the Polish Academy of Sciences
Library of the Institute of Fundamental Technological Research of The Polish Academy of Sciences
Oct 2, 2020
Feb 12, 2019
99
https://rcin.org.pl./publication/88840
Edition name | Date |
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Rożnowski, T., 1992, Surface stress waves in a transversely isotropic nonhomogeneous elastic semispace, Part II | Oct 2, 2020 |
Rożnowski, T.
Różnowski, T.
Członkowska, Marianna Reklewski, Zygmunt
Trebunia-Staszel, Stanisława
Krzemańska-Olejnik, Edyta Adamiak, Ryszard W.
Zwierzchowski, Lech Reklewski, Zygmunt
Telega, J. J. Lewiński, T.