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Elastodynamic Behavior of Waves in Thermo-Microstretch Elastic Plate Bordered with Layers of Inviscid Liquid

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Abstract

The elastodynamic behavior of waves in a thermo-microstretch elastic homogeneous isotropic plate bordered with layers of inviscid liquid on both sides subjected to stress-free thermally insulated and isothermal conditions is investigated in the context of Lord and Shulman and Green and Lindsay theories of thermoelasticity. The mathematical model has been simplified by using the Helmholtz decomposition technique, and the frequency equations for different mechanical situations are obtained and discussed. The special cases such as short wavelength waves and regions of the secular equations are also discussed. Finally, the numerical solution is carried out for a magnesium crystal composite material plate bordered with water. The dispersion curves, attenuation coefficients, amplitudes of dilatation, microrotation, microstretch, and temperature distribution for the symmetric and skew-symmetric wave modes are presented graphically.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, Kurukshetra, Haryana, 136 119, India

    Rajneesh Kumar

  2. Department of Mathematics, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Punjab, 144 011, India

    Geeta Partap

Authors
  1. Rajneesh Kumar
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  2. Geeta Partap
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Correspondence to Geeta Partap.

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Kumar, R., Partap, G. Elastodynamic Behavior of Waves in Thermo-Microstretch Elastic Plate Bordered with Layers of Inviscid Liquid. Int J Thermophys 30, 2122–2143 (2009). https://doi.org/10.1007/s10765-009-0652-9

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  • DOI: https://doi.org/10.1007/s10765-009-0652-9

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