A Laguerre series approach to the calculation of wave properties for surfaces of inhomogeneous elastic materials

DOI10.1016/0165-2125(87)90044-8zbMath0601.73028OpenAlexW2048485888MaRDI QIDQ1081344

A. A. Maradudin, James E. Gubernatis

Publication date: 1987

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-2125(87)90044-8

zbMATH Keywords

convergencedisplacement fielddispersion curvesmass densitycubic materialsdisplacement fieldselastic moduliorthonormalityexpanded in a series of Laguerre functionsfunction of depthfunctions of positionproperties of waves on surfacessagittal plane polarizationshear horizontalsolution of the wave equation is reduced to an eigenvalue poblem

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Anisotropy in solid mechanics (74E10) Bulk waves in solid mechanics (74J10) Inhomogeneity in solid mechanics (74E05) Surface waves in solid mechanics (74J15) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Numerical approximation and computational geometry (primarily algorithms) (65D99)

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Cites Work

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• Matrix eigensystem routines. EISPACK guide extension
• The propagation of surface elastic waves in a cubic crystal

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