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Analysis of free vibrations for Rayleigh — Lamb waves in a microstretch thermoelastic plate with two relaxation times

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Journal of Engineering Physics and Thermophysics Aims and scope

The propagation of free vibrations in a microstretch thermoelastic homogeneous isotropic plate subjected to stress-free thermally insulated and isothermal conditions is investigated in the context of conventional coupled thermoelasticity (CT) and Green and Lindsay (G—L) theories of thermoelasticity. The secular equations for the microstretch thermoelastic plate in closed form for symmetric and skew-symmetric wave mode propagation in completely separate terms are derived. At short wavelength limits, the secular equations for both modes in a stress-free thermally insulated and isothermal homogeneous isotropic microstretch thermoelastic plate reduce to the Rayleigh surface wave frequency equation. The results for symmetric and skew-symmetric wave modes are computed numerically and presented graphically. The theory and numerical computations are found to be in close agreement.

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Authors and Affiliations

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

    Rajneesh Kumar

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

    Geeta Partap

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

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Published in Inzhenerno-Fizicheskii Zhurnal, Vol. 82, No. 1, pp. 36–46, January–February, 2009.

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Kumar, R., Partap, G. Analysis of free vibrations for Rayleigh — Lamb waves in a microstretch thermoelastic plate with two relaxation times. J Eng Phys Thermophy 82, 35–46 (2009). https://doi.org/10.1007/s10891-009-0170-4

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  • DOI: https://doi.org/10.1007/s10891-009-0170-4

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