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Structural Engineering and Mechanics Volume 90, Number 2, April25 2024 , pages 209-218 DOI: https://doi.org/10.12989/sem.2024.90.2.209 |
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Wave propagation at free surface in thermoelastic medium under modified Green-Lindsay model with non-local and two temperature |
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Sachin Kaushal, Rajneesh Kumar, Indu Bala and Gulshan Sharma
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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. | ||
| Key Words | ||
| free surface; Modified Green-Lindsay theory; non-local; two temperature | ||
| Address | ||
| Sachin Kaushal: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, India Rajneesh Kumar: Department of Mathematics, Kurukshetra University Kurukshetra, Haryana, India Indu Bala: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, India Gulshan Sharma: Department of Mathematics, School of Chemical Engineering and Physical Sciences, Lovely Professional University-Phagwara, India; Post Graduate Department of Mathematics, Doaba College, Jalandhar, India | ||