Engineering Transactions, 54, 4, pp. 323–-328, 2006

Rayleigh waves speed in transversely isotropic material

A. Rehman
Quaid-i-Azam University

A. Khan
Karakoram International University

A. Ali
Quaid-i-Azam University

Rayleigh wave speed in transversely isotropic material is studied. A very simple technique is adopted to solve the secular equation. Speed in some transversely isotropic materials is calculated.
Keywords: Rayleigh waves; transversely isotropic material; orthotropic; compressible; strain energy
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


LORD RAYLEIGH, On waves propagated along the plane surface of an elastic solid, Proc. R. Soc. Lond., A 17, 4–11, 1885.

M. RAHMAN and J.R. BARBER, Exact expressions for the roots of the secular equation for Rayleigh waves, ASME J. Appl. Mech., 62, 250–252, 1995.

D. NKEMIZI, A new formula for the velocity of Rayleigh waves, Wave Motion, 26, 199–205, 1997.

D. ROYER, A study of the secular equation for Rayleigh waves using the root locus method, Ultrasonics, 39, 223–225, 2001.

PHAM CHI VINH and R. W. OGDEN, On formulas for the Rayleigh wave speed, Wave Motion, 39, 191-197,2004.

T.C.T. TING, A unified formalism for elastostatics or steady state motion of compressible or incompressible anisotropic elastic materials, Int. J. Solids Structures, 39, 5427–5445, 2002.

M. DESTRADE, Rayleigh waves in symmetry planes of crystals: explicit secular equations and some explicit wave speeds, Mech. Materials, 35, 931–939, 2003.

R.W. OGDEN and PHAM CHI VINE, On Rayleigh waves in incompressible orthotropic elastic solids, J. Acoust. Soc. Am., 115, 530–533, 2004.

M. DESTRADE, P.A. MARTIN and C.T. TING, The incompressible limit in linear anisotropic elasticity, with applications to surface wave and electrostatics, J. Mech. Phys. Solid, 50, 1453–1468, 2002.

PRAM CHI VINH and R.W. OGDEN, Formulas for the Rayleigh wave speed in orthotropic elastic solids, Arch. Mech., 56, 3, 247–265, 2004.

F. AHMAD and A. RAHMAN, Acoustic scattering by transversely isotropic cylinders, International Journal of Engineering Science, 38, 325–335, 2000.

DOI: 10.24423/engtrans.249.2006