Mater.Phys.Mech.(MPM)
No 1, Vol. 16, 2013, pages 34-54

A STUDY OF PLANE WAVE AND FUNDAMENTAL SOLUTION
IN THE THEORY OF AN ELECTRO-MICROSTRETCH
GENERALIZED THERMOELASTIC SOLID

Rajneesh Kumar, S.K. Garg, Sanjeev Ahuja

Abstract

The present article deals with the study of propagation of plane wave and fundamental solution in an electro-microstretch generalized thermoelastic solid. It is found that for two dimensional model, there exist three coupled longitudinal waves, namely longitudinal displacement wave (LD-wave), thermal wave (T-wave), longitudinal microstretch wave (LM-wave) and two coupled transverse displacement and transverse microrotational (CD I, CD II) waves. The phase velocity, attenuation coefficient, specific loss and penetration depth are computed numerically and depicted graphically. In addition, we construct the fundamental solution of the system of differential equations in the theory of an electro-microstretch generalized thermoelastic solid in case of steady oscillations in terms of elementary functions. Some basic properties of the fundamental solution are established. Some special cases are also discussed.

Keywords: steady oscillations; electro-microstretch; phase velocity; attenuation coefficient; fundamental solution

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