Acoustic axes in elasticity

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Abstract

New results are presented for the degeneracy condition of elastic waves in anisotropic materials. The condition for 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.

Original languageEnglish (US)
Pages (from-to)315-328
Number of pages14
JournalWave Motion
Volume40
Issue number4
DOIs
StatePublished - Oct 2004

All Science Journal Classification (ASJC) codes

  • Computational Mathematics
  • Physics and Astronomy(all)
  • Applied Mathematics
  • Modeling and Simulation

Keywords

  • Acoustic axes
  • Anisotropic elasticity
  • Degeneracy
  • Elastic waves

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