Acoustic axes for elastic waves in crystals: Theory and applications

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

Volumn 454, Issue 1977, 1998, Pages 2323-2346

  Boulanger, P H ^a   Hayes, M ^a  

^a UNIVERSITY COLLEGE DUBLIN   (Ireland)

Author keywords

Acoustic axes; Acoustical tensor; Crystal acoustics; Elastic stiffnesses; Secular equation; Wave speeds

Indexed keywords

EID: 0000026173     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0261     Document Type: Article

References (15)

1. Al'shits, V. L & Lothc, J. 1979 Elastic waves in triclinic crystals. II. Topology of polarization fields and some general theorems. Sov. Phys. Crystallogr. 24, 393-398.
2. Boulanger, Ph. & Hayes, M. 1993 Bivectors and waves in mechanics and optics. London: Chapman & Hall.
3. Boulanger, Ph. & Hayes, M. 1998 Bounds on elastic wave speeds in crystals: theory and applications. Proc. R. Soc. Land. A 454, 2289-2322. (Preceding paper.)
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. 1984 Inhomogeneous plane waves. Arch. Ration. Mech. Analysis 85, 41-79.
7. 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.
8. Kelvin, Lord 1904 Baltimore lectures. Cambridge University Press.
9. Landolt, H. H. fe Bernstein, R. 1979 Numerical data and functional relationships in science and technology -group III: crystal and solid state physics, vol. 11. Berlin: Springer.
10. Landolt, H. H. & Börnstein, R. 1984 Numerical data and functional relationships in science and technology -group HI: crystal and solid state physics, vol. 18. Berlin: Springer.
11. Musgrave, M. J. P. 1954 On the propagation of elastic waves in aeolotropic media. I. Proc. R. Soc. Lond. A 226, 339-355.
12. Musgrave, M. J. P. 1970 Crystal acoustics. San Francisco: Holden-Day.
13. Musgrave, M. J. P. 1985 Acoustic axes in orthorhombic media. Proc. R. Soc. Lond. A 401, 131-143.
14. Musgrave, M. J. P. 1991 Constraints of positive definite strain energy. Some geometrical insights. In Modern theory of anisotropic elasticity and applications (ed. J. J. Wu, T. C. T. Ting & D. M. Barnett), pp. 357-367. Philadelphia: SIAM.
15. Sirotine, Y. & Chaskolskaïa, M. 1984 Fondements de la physique des cristaux. Moscou: Editions MIR.