Quarterly of Applied Mathematics Quarterly of Applied Mathematics
Online ISSN: 1552-4485 Print ISSN: 0033-569X

     

SH-waves in laminated plates

Author(s): Sergey V. Kuznetsov
Journal: Quart. Appl. Math. 64 (2006), 153-165.
MSC (2000): Primary 74J15
Posted: January 24, 2006
Retrieve article in: PDF DVI PostScript

Abstract | References | Similar articles | Additional information

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.

References:

[1]
S. V. Kuznetsov, Love waves in stratified monoclinic media, Quart. Appl. Math. 62, 749-766 (2004). MR 2104272 (2005g:74067)

[2]
A. E. H. Love, Some Problems of Geodynamics, Cambridge University Press, London, 1911.

[3]
H. Lamb, On waves in an elastic plate, Proc. Roy. Soc. A93, 114-128 (1917).

[4]
A. L. Shuvalov, On the theory of wave propagation in anisotropic plates, Proc. Roy. Soc. A456, 2197-2222 (2000). MR 1794722 (2001h:74042)

[5]
A. H. Nayfeh, The propagation of horizontally polarized waves in multilayered anisotropic media, J. Acoust. Soc. Am., 86(5) 2000-2012 (1989).

[6]
A. H. Nayfeh, Wave propagation in layered anisotropic media with application to composites, Elsevier, Amsterdam, 1995. MR 1356003 (96j:73028)

[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).

Similar Articles:

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 74J15

Retrieve articles in all Journals with MSC (2000): 74J15

Additional Information:

Sergey V. Kuznetsov
Affiliation: Institute for Problems in Mechanics, Prosp. Vernadskogo, 101, Moscow, 119526 Russia
Email: svkuznec@ipmnet.ru

PII: S0033-569X-06-00992-1
Keywords: SH-wave, shear wave, surface wave, love wave, anisotropy, laminated plate
Received by editor(s): June 7, 2005
Posted: January 24, 2006
Copyright of article: Copyright 2006, Brown University


Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2008 Brown University
Comments: qam-query@ams.org		 AMS Website