Bounds on elastic wave speeds in crystals: Theory and applications

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 454, Issue 1977, 1998, Pages 2289-2322

  Boulanger, P H ^a   Hayes, M ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Acoustical tensor; Crystal acoustics; Elastic stiffnesses; Inequalities; Secular equation; Wave speeds

Indexed keywords

EID: 0003019947     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0260     Document Type: Article

References (11)

1. Boulanger, Ph. & Rayes, M. 1993 Bivectors and waves in mechanics and optics. London: Chapman & Hall.
2. Boulanger, Ph. & Hayes, M. 1995 Inhomogeneous plane waves in anisotropic elastic materials. In IUTAM Symp. on Anisotropy, Inhomogeneity and Nonlinearity in Solid Mechanics (cd. D. F. Parker & A. H. England), pp. 431-436. Dordrecht: Kluwer Academic.
3. Chadwick, P. 1989 Wave propagation in transversely isotropic elastic media. I. Homogeneous plane waves. Proc. R. Soc. Land. A 422, 23-66.
4. Fedorov, F. I. 1968 Theory of elastic waves in crystals. New York: Plenum Press.
5. Fedorov, F. I. & Fedorov, A. F. 1991 On the structure of the Green-Christoffel tensor. J. Phys. A Math. Gen. 24, 71-78.
6. Hayes, M. & Rivlin, R. S. 1961 Propagation of a plane wave in an isotropic elastic material subject to pure homogeneous deformation. Arch. Ration. Mech. Analysis 8, 15-22.
7. Kelvin, Lord 1904 Baltimore lectures. Cambridge University Press.
8. Landolt, H. H. & Börnstein, R. 1979 Numerical data and functional relationships in science and technology -group HI: crystal and solid state physics, vol. 11. Berlin: Springer.
9. Landolt, H. H. & Börnstein, R. 1984 Numerical data and functional relationships in science and technology -group III: crystal and solid state physics, vol. 18. Berlin: Springer.
10. Musgrave, M. J. P. 1954 On the propagation of elastic waves in aeolotropic media. I. Proc. R. Soc. Land. A 226, 339-355.
11. Musgrave, M. J. P. 1970 Crystal acoustics. San Francisco: Holden-Day.