Acoustic Axes in Elasticity

Details Acoustic Axes in Elasticity Acoustic Axes in Elasticity

2004-06-10

arxiv.org/abs/cond-mat/0406253v1

Wave Motion 40(4), 315-328, 2004.

Physics

Condensed Matter

Materials Science

18 pages. To be published in Wave Motion

Scientific paper

10.1016/j.wavemoti.2004.02.005

New results are presented for the degeneracy condition of elastic waves in anisotropic materials. The existence of acoustic axes involves a traceless symmetric third order tensor that must vanish identically. It is shown that all previous representations of the degeneracy condition follow from this acoustic axis tensor. The conditions for existence of acoustic axes in elastic crystals of orthorhombic, tetragonal, hexagonal and cubic (RTHC) symmetry are reinterpreted using the geometrical methods developed here. Application to weakly anisotropic solids is discussed, and it is shown that the satisfaction of the acoustic axes conditions to first order in anisotropy does not in general coincide with true acoustic axes.

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