Possible second-order nonlinear interactions of plane waves in an elastic solid

V.A. Korneev, A. Demcenko

Research output: Contribution to journalArticleAcademicpeer-review

74 Citations (Scopus)
3 Downloads (Pure)


There exist ten possible nonlinear elastic wave interactions for an isotropic solid described by three constants of the third order. All other possible interactions out of 54 combinations (triplets) of interacting and resulting waves are prohibited, because of restrictions of various kinds. The considered waves include longitudinal and two shear waves polarized in the interacting plane and orthogonal to it. The amplitudes of scattered waves have simple analytical forms, which can be used for experimental setup and design. The analytic results are verified by comparison with numerical solutions of initial equations. Amplitude coefficients for all ten interactions are computed as functions of frequency for polyvinyl chloride, together with interaction and scattering angles. The nonlinear equation of motion is put into a general vector form and can be used for any coordinate system.
Original languageEnglish
Pages (from-to)591-598
JournalThe Journal of the Acoustical Society of America
Issue number2
Publication statusPublished - 2014


  • METIS-302434
  • IR-89425


Dive into the research topics of 'Possible second-order nonlinear interactions of plane waves in an elastic solid'. Together they form a unique fingerprint.

Cite this