Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids

Włodzimierz Domański, Andrew N. Norris

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Scopus citations

Abstract

Transverse elastic waves behave differently in nonlinear isotropic and anisotropic media. While in the former the quadratically nonlinear coupling in the evolution equations for waves' amplitudes is not possible, such a coupling may occur for certain directions in anisotropic materials. We identify the expression responsible for the coupling and we derive coupled canonical evolution equations for transverse waves' amplitudes in the case of a two-fold and three-fold symmetry acoustic axes. We illustrate our considerations by the examples devoted to a cubic crystal.

Original languageEnglish (US)
Title of host publicationNonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics
Pages259-262
Number of pages4
DOIs
StatePublished - Aug 15 2008
Event18th International Symposium on Nonlinear Acoustics, ISNA18 - Stockholm, Sweden
Duration: Jul 7 2008Jul 10 2008

Publication series

NameAIP Conference Proceedings
Volume1022

Other

Other18th International Symposium on Nonlinear Acoustics, ISNA18
CountrySweden
CityStockholm
Period7/7/087/10/08

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Keywords

  • Acoustic axes
  • Coupled nonlinear evolution equations
  • Degenerate waves

Fingerprint Dive into the research topics of 'Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids'. Together they form a unique fingerprint.

  • Cite this

    Domański, W., & Norris, A. N. (2008). Nonlinear evolution equations for degenerate transverse waves in anisotropic elastic solids. In Nonlinear Acoustics - Fundamentals and Applications - ISNA18 - 18th International Symposium on Nonlinear Acoustics (pp. 259-262). (AIP Conference Proceedings; Vol. 1022). https://doi.org/10.1063/1.2956202