On Rayleigh waves in incompressible orthotropic elastic solids

Journal of the Acoustical Society of America

Volumn 115, Issue 2, 2004, Pages 530-533

  Ogden, Ray W ^a   Vinh, Pham Chi ^b  

^a UNIVERSITY OF GLASGOW   (United Kingdom)

^b VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC WAVES; STRAIN;

ELASTIC SOLIDS; RAYLEIGH WAVES;

RAYLEIGH SCATTERING;

ACOUSTICS; SOLID;

ANISOTROPY; ARTICLE; COMPRESSION; DYNAMICS; ELASTICITY; MATERIALS TESTING; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOLID; WAVEFORM;

EID: 1042265162     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1636464     Document Type: Article

References (23)

1. Abramowitz, M., and Stegun, I. A. (1974). Handbook of Mathematical Functions (Dover, New York).
2. Chadwick, P. (1997). "The application of the Stroh formulation to pre-stressed elastic media," Math. Mech. Solids 2, 379-403.
3. Chadwick, P., and Smith, G. D. (1977). "Foundations of the theory of surface waves in anisotropic elastic materials," Adv. Appl. Mech. 17, 303-376.
4. Cowles, W. H., and Thompson, J. E. (1947). Algebra (Van Nostrand, New York).
5. Destrade, M. (2001a). "The explicit secular equation for surface acoustic waves in monoclinic elastic crystals," J. Acoust. Soc. Am. 109, 1398-1402.
6. Destrade, M. (2001b). "Surface waves in orthotropic incompressible materials," J. Acoust. Soc. Am. 110, 837-840.
7. Destrade, M. (2003). "Rayleigh waves in symmetry planes of crystals: explicit secular equations and some explicit wave speeds," Mech. Mater. 35, 931-939.
8. Destrade, M., Martin, P. A., and Ting, T. C. T. (2002). "The incompressible limit in linear anisotropic elasticity, with application to surface waves and elastostatics," J. Mech. Phys. Solids 50, 1453-1468.
9. Dowaikh, M. A., and Ogden, R. W. (1990). "On surface waves and deformations in a pre-stressed incompressible elastic solid," IMA J. Appl. Math. 44, 261-284.
10. Dowaikh, M. A., and Ogden, R. W. (1991). "On surface waves and deformations in a compressible elastic half-space," Stab. Appl. Anal. Cont. Media 1, 27-45.
11. Ewing, W. M., Jardetzky, W. F., and Press, F. (1957). Elastic Waves in Layered Media (McGraw-Hill, New York).
12. Malischewsky, P. G. (2000). Comment on "A new formula for the velocity of Rayleigh waves by D. Nkemzi," Wave Motion 31, 93-96.
13. Mozhaev, V. G. (1995). "Some new ideas in the theory of surface acoustic waves in anisotropic media," in IUTAM Symposium on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics, edited by D. F. Parker and A. H. England (Kluwer, Dordrecht), pp. 455-462.
14. Nair, S., and Sotiropoulos, D. A. (1997). "Elastic waves in orthotropic incompressible materials and reflection from an interface," J. Acoust. Soc. Am. 102, 102-109.
15. Nair, S., and Sotiropoulos, D. A. (1999). "Interfacial waves in incompressible monoclinic materials with an interlayer," Mech. Mater. 31, 225-233.
16. Nkemzi, D. (1997). "A new formula for the velocity of Rayleigh waves," Wave Motion 26, 199-205.
17. Rahman, M., and Barber, J. R. (1995). "Exact expressions for the roots of the secular equation for Rayleigh waves," J. Appl. Mech. 62, 250-252.
18. Rayleigh, Lord (1885). "On waves propagated along the plane surface of an elastic solid," Proc. R. Soc. London, Ser. A 17, 4-11.
19. Royer, D., and Dieulesaint, E. (1984). "Rayleigh wave velocity and displacement in orthorhombic, tetragonal, hexagonal and cubic crystals," J. Acoust. Soc. Am. 75, 1438-1444.
20. Stoneley, R. (1963). "The propagation of surface waves in an elastic medium with orthorhombic symmetry," Geophys. J. R. Astron. Soc. 8, 176-186.
21. Ting, T. C. T. (2002a). "An explicit secular equation for surface waves in an elastic material of general anisotropy," Q. J. Mech. Appl. Math. 55, 297-311.
22. Ting, T. C. T. (2002b). "A unified formalism for elastostatics or steady state motion of compressible or incompressible anisotropic elastic materials," Int. J. Solids Struct. 39, 5427-5445.
23. 3 = 0," Proc. R. Soc. London, Ser. A 458, 1017-1031.