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Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space

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  • Surbhi Sharma
  • Sangeeta Kumari
  • Birendra Nath Mandal

Abstract

The problem of plane waves in nonlocal fractional-order thermoelasticity has been studied. We have considered the x-y plane for the governing equation of nonlocal fractional thermoelasticity and solved these governing equations to calculate the equation in terms of frequency. This frequency shows that three sets of waves exist, in which two are coupled and one is uncoupled. The reflection coefficient of plane waves for classical theory and LS theory has been calculated. The effect of phase speeds, specific losses, and attenuation coefficients with respect to the frequency and nonlocal parameter for the two theories (LS theory and the classical theory of thermoelasticity) has been studied numerically for all propagating waves, and the same has been plotted graphically and explained thoroughly.

Suggested Citation

  • Surbhi Sharma & Sangeeta Kumari & Birendra Nath Mandal, 2022. "Reflection of Plane Waves in Nonlocal Fractional-Order Thermoelastic Half Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2022, pages 1-11, November.
    • Handle: RePEc:hin:jijmms:1223847
    DOI: 10.1155/2022/1223847
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