Structural Engineering and Mechanics

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Propagation of plane waves in an orthotropic magneto-thermodiffusive rotating half-space

  • Sheokand, Suresh Kumar (Department of Mathematics, Guru Jambheshwar University of Science and Technology) ;
  • Kumar, Rajeshm (Department of Applied Sciences, School of Engineering and Technology, The NorthCap University) ;
  • Kalkal, Kapil Kumar (Department of Mathematics, Guru Jambheshwar University of Science and Technology) ;
  • Deswal, Sunita (Department of Mathematics, Guru Jambheshwar University of Science and Technology)
  • Received : 2018.10.28
  • Accepted : 2019.07.01
  • Published : 2019.11.25
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Abstract

The present article is aimed at studying the reflection phenomena of plane waves in a homogeneous, orthotropic, initially stressed magneto-thermoelastic rotating medium with diffusion. The enuciation is applied to generalized thermoelasticity based on Lord-Shulman theory. There exist four coupled waves, namely, quasi-longitudinal P-wave (qP), quasi-longitudinal thermal wave (qT), quasi-longitudinal mass diffusive wave (qMD) and quasi-transverse wave (qSV) in the medium. The amplitude and energy ratios for these reflected waves are derived and the numerical computations have been carried out with the help of MATLAB programming. The effects of rotation, initial stress, magnetic and diffusion parameters on the amplitude ratios are depicted graphically. The expressions of energy ratios have also been obtained in explicit form and are shown graphically as functions of angle of incidence. It has been verified that during reflection phenomena, the sum of energy ratios is equal to unity at each angle of incidence. Effect of anisotropy is also depicted on velocities of various reflected waves.

Keywords

References

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