Wave Propagation and Fundamental Solution of Initially Stressed Thermoelastic Diffusion with Voids

Journal of Solid Mechanics

مقاله 8، دوره 3، شماره 3، آذر 2011، صفحه 298-314   

نوع مقاله: Research Paper

نویسندگان

R Kumar^* ؛ R. Kumar

Department of Mathematics, Kurukshetra University

چکیده

The present article deals with the study of propagation of plane waves in isotropic generalized thermoelastic diffusion with voids under initial stress. It is found that, for two dimensional model of isotropic generalized thermoelastic diffusion with voids under initial stress, there exists four coupled waves namely, P wave, Mass Diffusion (MD) wave, thermal (T) wave and Volume Fraction (VF) wave. The phase propagation velocities and attenuation quality factor of these plane waves are also computed and depicted graphically. In addition, the fundamental solution of system of differential equations in the theory of initially stressed thermoelastic diffusion with voids in case of steady oscillations in terms of elementary functions has been constructed. Some basic properties of the fundamental solution are established and some particular cases are also discussed.

کلیدواژه‌ها

Plane waves؛ Fundamental solution؛ Initial stress؛ Thermoelastic diffusion with voids؛ Steady oscillations

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