International Journal of Applied Science and Engineering
Published by Chaoyang University of Technology

Baljeet Singh*

Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India


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Sinha and Sinha (J. Phys. Earth, 22, 237-244, 1974) studied a problem on the reflection of thermoelastic waves at a stress free thermally insulated solid half-space in context of the Lord and Shulman theory of generalized thermoelastcity. He showed the existence of three plane waves (two longitudinal waves and a shear wave) in a homogeneous, linear and isotropic thermoelastic medium. He also obtained the reflection coefficients of reflected waves theoretically and numerically for the incident plane waves. Due to the engineering applications, a problem on the reflection of thermoelastic waves at a non-free boundary surface is considered in this paper. The reflection coefficients of various reflected waves are obtained by considering the new boundary conditions at non-free surface. For a particular material representing the half-space, the reflection coefficients are also computed numerically and are shown graphically against the angle of incidence for different values of boundary parameters.

Keywords: Generalized thermoelasticity; Non-free surface; Reflection coefficients; Thermal relaxation.

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Received: 2016-12-07
Revised: 2018-05-17
Accepted: 2018-06-14
Publication Date: 2018-12-01

Cite this article:

Singh, B. 2018. Reflection of thermoelastic waves at a Non-free thermally insulated surface. International Journal of Applied Science and Engineering, 15, 149-161.

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