Material symmetries versus wavefront symmetries

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 60, Issue 2, 2007, Pages 73-84

  Bóna, Andrej ^a   Bucataru, Ioan ^a   Slawinski, Michael A ^a  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

MATERIAL SYMMETRY; WAVEFRONT SYMMETRY;

CRYSTAL SYMMETRY; LIGHT POLARIZATION; WAVEFRONTS;

MATERIALS;

EID: 34447629369     PISSN: 00335614     EISSN: 14643855     Source Type: Journal    
DOI: 10.1093/qjmam/hbl020     Document Type: Article

References (12)

1. W. C. Van Buskirk, S. C. Cowin and R. Carter, Jr., A theory of acoustic measurement of the elastic constants of a general anisotropic solid, J. Mater. Sci. 21 (1986) 2759-2762.
2. A. N. Norris, On the acoustic determination of the elastic moduli of anisotropic solids and acoustic conditions for the existence of planes of symmetry, Q. JI Mech. Appl. Math. 42 (1989) 413-426.
3. S. Forte and M. Vianello, Symmetry classes for elasticity tensors, J. Elast. 43 (1996) 81-108.
4. P. Chadwick, M. Vianello and S. C. Cowin, A new proof that the number of linear elastic symmetries is eight, J. Mech. Phys. Solids 49 (2001) 2471-2492.
5. T. C. T. Ting, Generalized Cowin - Mehrabadi theorems and a direct proof that the number of linear elastic symmetries is eight, Int. J. Sol. Str. 40 (2003) 7129-7142.
6. A. Bóna, I. Bucataru and M. A. Slawinski, Material symmetries of elasticity tensors, Q. JI Mech. Appl. Math. 57 (2004) 583-598.
7. H. Yong-Zhong and G. Del Piero, On the completeness of the crystallographic symmetries in the description of the symmetries of the elastic tensor, J. Elast. 25 (1991) 203-246.
8. S. Forte and M. Vianello, Symmetry classes and harmonic decomposition for photoelasticity tensors, Int. J. Engng Sci. 35 (1997) 1317-1326.
9. F. I. Fedorov, Theory of Elastic Waves in Crystals (Plenum Press, New York 1968).
10. M. A. Slawinski, Seismic Rays and Waves in Elastic Media (Pergamon, Oxford 2003).
11. W. Voigt, Lehrbuch der Kristalphysik (Teubner, Leipzig 1928).
12. P. Curie, Sur la symétrie dans les phénomènes physiques, symétrie d'un champ électrique et d'un champ magnétique, J. de Phys. 3e série 3 (1894) 393-415.