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Magneto-thermoviscoelastic wave propagation at the interface between two micropolar viscoelastic media

  • Y. Q. Song
  • , Y. C. Zhang
  • , H. Y. Xu
  • , B. H. Lu
  • Xi'an Jiaotong University

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

Problems of a plane harmonic wave at the interface between two viscoelastic media are studied under generalized thermoviscoelastic theory when the media permeate into a uniform magnetic field. Using potential function, the governing equations reduced to two four-order differential equations. Amplitude ratios of reflection and refraction of different waves with the angle of incidence are obtained using continuous boundary conditions. Some special cases are considered in the absence of effects of micropolar or viscous. By numerical calculation, the variations of amplitude ratios of reflection and refraction with the angle of incidence are shown graphically for aluminium-epoxy and magnesium crystal micropolar viscoelastic materials. Comparison among CD, LS and GL theories and effects of magnetic field, viscous and micropolar are given by numerical results in this paper.

Original languageEnglish
Pages (from-to)785-802
Number of pages18
JournalApplied Mathematics and Computation
Volume176
Issue number2
DOIs
StatePublished - 15 May 2006

Keywords

  • Generalized thermoelastic theory
  • Magneto-thermoviscoelastic wave
  • Propagation vector and attenuation vector
  • Reflection and refraction

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