SH-waves in laminated plates
Author:
Sergey V. Kuznetsov
Journal:
Quart. Appl. Math. 64 (2006), 153-165
MSC (2000):
Primary 74J15
DOI:
https://doi.org/10.1090/S0033-569X-06-00992-1
Published electronically:
January 24, 2006
MathSciNet review:
2211382
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Abstract: A mathematical model for analyzing horizontally polarized shear surface (SH) waves propagating in laminated plates is presented. All the layers are assumed to have monoclinic symmetry. Three types of boundary conditions imposed on the outer surfaces of a plate are considered. A variant of the modified transfer matrix (MTM) method is developed. Closed form dispersion relations are obtained for plates consisting of one or two orthotropic layers. Asymptotic solutions for orthotropic two- and three-layered plates are derived.
- Sergey V. Kuznetsov, Love waves in stratified monoclinic media, Quart. Appl. Math. 62 (2004), no. 4, 749–766. MR 2104272, DOI https://doi.org/10.1090/qam/2104272
[2]2 A. E. H. Love, Some Problems of Geodynamics, Cambridge University Press, London, 1911.
[3]3 H. Lamb, On waves in an elastic plate, Proc. Roy. Soc. A93, 114–128 (1917).
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[7]7 F. Simonetti and P. Cawley, A guided wave technique for the characterization of highly attenuative viscoelastic materials, J. Acoust. Soc. Am., 114(1), 158–165 (2003).
[1]1 S. V. Kuznetsov, Love waves in stratified monoclinic media, Quart. Appl. Math. 62, 749–766 (2004).
[2]2 A. E. H. Love, Some Problems of Geodynamics, Cambridge University Press, London, 1911.
[3]3 H. Lamb, On waves in an elastic plate, Proc. Roy. Soc. A93, 114–128 (1917).
[4]4 A. L. Shuvalov, On the theory of wave propagation in anisotropic plates, Proc. Roy. Soc. A456, 2197–2222 (2000).
[5]5 A. H. Nayfeh, The propagation of horizontally polarized waves in multilayered anisotropic media, J. Acoust. Soc. Am., 86(5) 2000–2012 (1989).
[6]6 A. H. Nayfeh, Wave propagation in layered anisotropic media with application to composites, Elsevier, Amsterdam, 1995.
[7]7 F. Simonetti and P. Cawley, A guided wave technique for the characterization of highly attenuative viscoelastic materials, J. Acoust. Soc. Am., 114(1), 158–165 (2003).
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Additional Information
Sergey V. Kuznetsov
Affiliation:
Institute for Problems in Mechanics, Prosp. Vernadskogo, 101, Moscow, 119526 Russia
Email:
svkuznec@ipmnet.ru
Keywords:
SH-wave,
shear wave,
surface wave,
love wave,
anisotropy,
laminated plate
Received by editor(s):
June 7, 2005
Published electronically:
January 24, 2006
Article copyright:
© Copyright 2006
Brown University
