Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times

Rajneesh Kumar; Manjeet Singh

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Rajneesh Kumar, Manjeet Singh. Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times[J]. Applied Mathematics and Mechanics, 2007, 28(5): 561-574.

Citation:

Rajneesh Kumar, Manjeet Singh. Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times[J]. Applied Mathematics and Mechanics, 2007, 28(5): 561-574.

Citation:

Rajneesh Kumar, Manjeet Singh. Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times[J]. Applied Mathematics and Mechanics, 2007, 28(5): 561-574.

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Propagation of Plane Waves in Thermoelastic Cubic Crystal Material With Two Relaxation Times

Rajneesh Kumar¹,
Manjeet Singh²

1.
Department of Mathematics, Kurukshetra University, Kurukshetra-136119, India;
Department of Mathematics, S. U. S. Govt. College, Matak Majari, Karnal, Haryana, India

Received Date: 2006-02-16
Rev Recd Date: 2007-02-06
Publish Date: 2007-05-15

Abstract

Abstract

A problem concerning with the reflection and refraction of thermoelastic plane waves at an imperfect interface between two generalized thermally conducting cubic crystal solid half-spaces of different elastic and thermal properties with two relaxation times has been investigated.The generalized thermoelastic theory with two relaxation times developed by Green and Lindsay has been used to study the problem in 1972.The expressions for the reflection and refraction coefficients which are the ratios of the amplitudes of reflected and refracted waves to the amplitude of incident waves were obtained for an imperfect boundary and deduced for normal stiffness,transverse stiffness,thermal contact conductance,slip and welded boundaries.Amplitude ratios of different reflected and refracted waves for different boundaries with angle of emergence were compared graphically for different incident waves.It is observed that the amplitude ratios of reflected and refracted waves are affected by the stiffness and thermal properties of the media.
- generalized thermoelasticity,
- normal stiffness,
- transverse stiffness,
- thermal contact conductance,
- cubic crystal,
- amplitude ratio

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References(42)

References

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