Literature DB >> 18529167

Cubic nonlinearity in shear wave beams with different polarizations.

Mark S Wochner1, Mark F Hamilton, Yurii A Ilinskii, Evgenia A Zabolotskaya.   

Abstract

A coupled pair of nonlinear parabolic equations is derived for the two components of the particle motion perpendicular to the axis of a shear wave beam in an isotropic elastic medium. The equations account for both quadratic and cubic nonlinearity. The present paper investigates, analytically and numerically, effects of cubic nonlinearity in shear wave beams for several polarizations: linear, elliptical, circular, and azimuthal. Comparisons are made with effects of quadratic nonlinearity in compressional wave beams.

Mesh:

Year:  2008        PMID: 18529167      PMCID: PMC2677321          DOI: 10.1121/1.2890739

Source DB:  PubMed          Journal:  J Acoust Soc Am        ISSN: 0001-4966            Impact factor:   1.840


  3 in total

1.  Self-focusing of circularly polarized beams.

Authors:  Gadi Fibich; Boaz Ilan
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2003-03-28

2.  Measurement of elastic nonlinearity of soft solid with transient elastography.

Authors:  S Catheline; J L Gennisson; M Fink
Journal:  J Acoust Soc Am       Date:  2003-12       Impact factor: 1.840

3.  Observation of shock transverse waves in elastic media.

Authors:  S Catheline; J-L Gennisson; M Tanter; M Fink
Journal:  Phys Rev Lett       Date:  2003-10-14       Impact factor: 9.161

  3 in total
  2 in total

1.  Generalization of the Zabolotskaya equation to all incompressible isotropic elastic solids.

Authors:  Michel Destrade; Edvige Pucci; Giuseppe Saccomandi
Journal:  Proc Math Phys Eng Sci       Date:  2019-07-03       Impact factor: 2.704

2.  Numerical Simulation of Focused Shock Shear Waves in Soft Solids and a Two-Dimensional Nonlinear Homogeneous Model of the Brain.

Authors:  B Giammarinaro; F Coulouvrat; G Pinton
Journal:  J Biomech Eng       Date:  2016-04       Impact factor: 2.097

  2 in total

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