The polarization vector and secular equation for surface waves in an anisotropic elastic half-space

International Journal of Solids and Structures

Volumn 41, Issue 8, 2004, Pages 2065-2083

  Ting, T C T ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

Anisotropic materials; Polarization vector; Secular equations; Surface waves

Indexed keywords

ANISOTROPY; CRYSTAL SYMMETRY; EIGENVALUES AND EIGENFUNCTIONS; ELASTICITY; POLARIZATION; VECTORS; WAVE PROPAGATION;

ELASTIC MATERIALS; POLARIZATION VECTOR;

SURFACE WAVES;

ANISOTROPIC MEDIUM; POLARIZATION; SURFACE WAVE; WAVE EQUATION; WAVE PROPAGATION;

EID: 1542287409     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.11.029     Document Type: Article

References (24)

1. Barnett D.M. On the non-existence of subsonic boundary-polarized two-component free surface waves The Jens Lothe Symposium Volume Phys. Scr. T44 1992 98-103
2. Barnett D.M. Chadwick P. The existence of one-component surface waves and exceptional subsequent transonic states of types 2, 4, and E1 in anisotropic elastic media Wu J.J. Ting T.C.T. Barnett D.M. Modern Theory of Anisotropic Elasticity and Applications SIAM Proceedings Series 1990 199-214 SIAM Philadelphia
3. Barnett D.M. Lothe J. Synthesis of the sextic and the integral formalism for dislocations, Greens function and surface wave (Rayleigh wave) solutions in anisotropic elastic solids Phys. Norv. 7 1973 13-19
4. Boulanger Ph. Hayes M. Bivectors and inhomogeneous plane waves in anisotropic elastic bodies Wu J.J. Ting T.C.T. Barnett D.M. Modern Theory of Anisotropic Elasticity and Applications SIAM Proceedings Series 1991 280-289 SIAM Philadelphia
5. Chadwick P. Smith G.D. Foundations of the theory of surface waves in anisotropic elastic materials Adv. Appl. Mech. 17 1977 307-376
6. Currie P.K. The secular equation for Rayleigh waves on elastic crystal Q. J. Appl. Math. Mech. 32 1979 163-173
7. Destrade M. The explicit secular equation for surface waves in monoclinic elastic crystals J. Acoust. Soc. Am. 109 2001 1398-1402
8. Gibbs J.W. Elements of Vector analysis 1961 Dover New York
9. Hohn Franz Elementary Matrix Algebra 1965 Macmillan New York
10. Ingebrigtsen K.A. Tonning A. Elastic surface waves in crystal Phys. Rev. 184 1969 942-951
11. Stone J.M. Radiation and Optics 1963 McGraw-Hill New York
12. Stoneley R. The propagation of surface waves in an elastic medium with orthorhombic symmetry Geophys. J. R. Astron. Soc. 8 1963 176-186
13. Stroh A.N. Dislocations and cracks in anisotropic elasticity Philos. Mag. 3 1958 625-646
14. Stroh A.N. Steady state problems in anisotropic elasticity J. Math. Phys. 41 1962 77-103
15. Sveklo V.A. Plane waves and Rayleigh waves in anisotropic media Dokl. Akad. Nauk SSSR 59 1948 871-874
16. Synge, J.L., 1966. The Petrov classification of gravitational fields. Dublin Institute for Advanced Studies, Dublin
17. Taziev R.M. Dispersion relation for acoustic waves in an anisotropic elastic half-space Sov. Phys. Acoust. 35 5 1989 535-538
18. i in the Stroh formalism of anisotropic elasticity Q. Appl. Math. 46 1988 109-120
19. Ting T.C.T. Anisotropic Elasticity: Theory and Applications 1996 Oxford University Press New York
20. Ting T.C.T. New explicit expression of Barnett-Lothe tensors for anisotropic linear elastic materials J. Elast. 47 1997 23-50
21. 3=0 Proc. R. Soc. London A 458 2002 1017-1031
22. Ting T.C.T. An explicit secular equation for surface waves in an elastic material of general anisotropy Q. J. Mech. Appl. Math. 55 2002 297-311
23. Ting T.C.T. A unified formalism for elastostatics or steady state motion of compressible or incompressible anisotropic elastic materials The Achenbach Symposium Volume Int. J. Solids Struct. 39 21-22 2002 5427-5445
24. Ting, T.C.T., 2004. Explicit secular equations for surface waves in an anisotropic elastic half-space--from Rayleigh to today. In: Proceedings of NATO Workshop on Surface Waves in Anisotropic and Laminated Bodies and Defects Detection, in press