Object

Title: Surface stress waves in a transversely isotropic nonhomogeneous elastic semispace ; Part II ; Surface stress wave in a ”weakly anisotropic” semispace with ”small nonhomogeneity”

Creator:

Rożnowski, T.

Date issued/created:

1992

Resource Type:

Journal

Publisher:

Polish Scientific Publishers IFTR

Place of publishing:

Warszawa

Description:

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

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.

Relation:

Archives of Mechanics

Volume:

44

Issue:

4

Start page:

437

End page:

451

Format:

application/pdf

Resource Identifier:

oai:rcin.org.pl:68364

Source:

IPPT PAN, call no. P.262 ; click here to follow the link

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Institute of Fundamental Technological Research of the Polish Academy of Sciences

Original in:

Library of the Institute of Fundamental Technological Research of The Polish Academy of Sciences

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget. ;

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