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Reflection and Refraction of Micropolar Magneto-thermoviscoelastic Waves at the Interface between Two Micropolar Viscoelastic Media

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Using micropolar generalized thermoviscoelastic theories, problems of reflection and refraction of magneto-thermoeviscoelastic waves at the interface between two viscoelastic media are studied when a uniform magnetic field permeates the media. Coefficient ratios of reflection and refraction are obtained using continuous boundary conditions. Some special cases are considered, i.e., the absence of micropolar and viscous effects. By numerical calculations, variations of the amplitude ratios of reflection and refraction coefficients with the angle of incidence are shown graphically for incident rotational and dilatational waves at the interface between two media (one medium is aluminium-epoxy micropolar iscoelastic material, and the other is magnesium crystal micropolar viscoelastic material). Comparing the generalized thermoelastic theories developed by Lord and Shulman (LS) and by Green and Lindsay (GL) in this paper to conventional dynamics (CD) theory the effects of a magnetic field and viscosity are shown numerically in this paper.

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Authors and Affiliations

  1. School of Aerospace, Department of Engineering Mechanics, MOE Key Laboratory for Strength and Vibration, Xi’an Jiaotong University, Xi’an, 710049, P. R. China

    Yaqin Song & Yuanchong Zhang

  2. School of Architecture Engineering, Henan University of Science and Technology, Luoyang, 471003, P. R. China

    Hongyu Xu

Authors
  1. Yaqin Song
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  2. Hongyu Xu
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  3. Yuanchong Zhang
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Correspondence to Yaqin Song.

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Song, Y., Xu, H. & Zhang, Y. Reflection and Refraction of Micropolar Magneto-thermoviscoelastic Waves at the Interface between Two Micropolar Viscoelastic Media. Int J Thermophys 27, 970–993 (2006). https://doi.org/10.1007/s10765-006-0048-z

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  • DOI: https://doi.org/10.1007/s10765-006-0048-z

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