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Factorization of integro-differential equations of the acoustics of dispersive viscoelastic anisotropic media and the tensor integral operators of wave packet velocities

Factorization of integro-differential equations of the acoustics of dispersive viscoelastic... Abstract Factorization of tensor integro-differential wave equations of the acoustics of dispersive viscoelastic anisotropic media is performed for the one-dimensional case. The resulting first-order partial differential equations include integral tensor functionals of the sound velocities of polarized plane wave pulses. The velocity operators \(\hat V\) are expressed in a coordinate-free compact form. They are determined by the kernels of the integral representations and provide a general description of the kinematics and dynamics of wave packets for arbitrary propagation directions in anisotropic viscoelastic media. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acoustical Physics Springer Journals

Factorization of integro-differential equations of the acoustics of dispersive viscoelastic anisotropic media and the tensor integral operators of wave packet velocities

Barkovsky, L. M.; Furs, A. N.
Acoustical Physics , Volume 48 (2): 5 – Mar 1, 2002
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References (15)

Publisher
Springer Journals
Copyright
2002 MAIK "Nuaka/Interperiodica"
ISSN
1063-7710
eISSN
1562-6865
DOI
10.1134/1.1460945
Publisher site
See Article on Publisher Site

Abstract

Abstract Factorization of tensor integro-differential wave equations of the acoustics of dispersive viscoelastic anisotropic media is performed for the one-dimensional case. The resulting first-order partial differential equations include integral tensor functionals of the sound velocities of polarized plane wave pulses. The velocity operators \(\hat V\) are expressed in a coordinate-free compact form. They are determined by the kernels of the integral representations and provide a general description of the kinematics and dynamics of wave packets for arbitrary propagation directions in anisotropic viscoelastic media.

Journal

Acoustical Physics – Springer Journals

Published: Mar 1, 2002

Keywords: Acoustics

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