Structural Engineering and Mechanics

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Wave propagation at free surface in thermoelastic medium under modified Green-Lindsay model with non-local and two temperature

  • Sachin Kaushal (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara) ;
  • Rajneesh Kumar (Department of Mathematics, Kurukshetra University Kurukshetra) ;
  • Indu Bala (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara) ;
  • Gulshan Sharma (Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara)
  • Received : 2023.02.21
  • Accepted : 2024.04.01
  • Published : 2024.04.25
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Abstract

The present paper is focused on the study of the propagation of plane waves in thermoelastic media under a modified Green-Lindsay (MG-L) model having the influence of non-local and two temperature. The problem is formulated for the considered model in dimensionless form and is explained by using the reflection phenomenon. The plane wave solution of these equations indicates the existence of three waves namely Longitudinal waves (LD-Wave), Thermal waves (T-wave), and Shear waves (SV-wave) from a stress-free surface. The variation of amplitude ratios is computed analytically and depicted graphically against the angle of incidence to elaborate the impact of non-local, two temperature, and different theories of thermoelasticity. Some particular cases of interest are also deduced from the present investigation. The present study finds applications in a wide range of problems in engineering and sciences, control theory, vibration mechanics, and continuum mechanics.

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References

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