Isaac Scientific Publishing

# Journal of Advances in Applied Mathematics

### Propagation of Rayleigh Surface Wave in a Two-Temperature Thermoelastic Solid Half-Space with Diffusion

Download PDF (516.2 KB) PP. 195 - 202 Pub. Date: July 12, 2016

### Author(s)

• Sangeeta Kumari*
Department of Mathematics, Chandigarh University, Gharuan, Punjab, India
• Baljeet Singh
Department of Mathematics, Post Graduate Government College, Sector-11, Chandigarh - 160 011, India

### Abstract

Lord and Shulman theory of generalized thermoelasticity is applied to formulate the field equations governing a two-temperature thermoelastic medium with diffusion. The equations are reduced for an isotropic case in x-z plane. These equations are solved for general surface wave solutions. Particular solutions satisfying the required radiations conditions are obtained in a half-space. Applying suitable boundary conditions at free surface, a secular equation for wave speed of Rayleigh surface wave is obtained. The wave speed of Rayleigh wave is computed by using Fortran Program of iteration method for a particular example of the half-space. The effects of two-temperature parameter, frequency, thermodiffusion parameter and diffusion relaxation time are observed graphically on the wave speed of Rayleigh wave.

### Keywords

Generalized thermoelasticity; rayleigh wave; two-temperature; diffusion; wave speed.

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