Rayleigh waves speed in transversely isotropic material

• Autorzy: Rehman A. , Khan A. , Ali A.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Rayleigh waves; transverslely isotropic material; orthotropic; compressible; strain energy

PL

fala powierzchniowa; ortrotropia; energia odkształcenia

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2006
• Tom: Vol. 54, iss. 4
• Strony: 323--328
• Opis fizyczny: Bibliogr. 11 poz., tab.

Twórcy

autor

Rehman A.

autor

Khan A.

autor

Ali A.

• Department of Maths Quaid-i-Azam University, Islamabad, Pakistan

Bibliografia

• 1. LORD RAYLEIGH, On waves propagated along the plane surface of an elastic solid, Proc. R. Soc. Lond., A 17, 4-11, 1885.
• 2. 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.
• 3. D. NKEMIZI, A new formula for the velocity of Rayleigh waves, Wave Motion, 26, 199-205, 1997.
• 4. D. ROYER, A study of the secular equation for Rayleigh waves using the root locus method, Ultrasonics, 39, 223-225, 2001.
• 5. PHAM CHI VINH and R. W. OGDEN, On formulas for the Rayleigh wave speed, Wave Motion, 39, 191-197,2004.
• 6. 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.
• 7. M. DESTRADE, Rayleigh waves in symmetry planes of crystals: explicit secular equations and some explicit wave speeds, Mech. Materials, 35, 931-939, 2003.
• 8. R. W. OGDEN and PHAM CHI VINH, On Rayleigh waves in incompressible orthotropic elastic solids, J. Acoust. Soc. Am., 115, 530-533, 2004.
• 9. 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.
• 10. PHAM CHI VINH and R. W. OGDEN, Formulas for the Rayleigh wave speed in orthotropic elastic solids, Arch. Mech., 56, 3, 247-265, 2004.
• 11. F. AHMAD and A. RAHMAN, Acoustic scatering by transversely isotropic cylinders, International Journal of Engineering Science, 38, 325-335, 2000.