RAYLEIGH WAVE PROPAGATION IN THERMOELASTIC DIFFUSION MEDIUM UNDER GREEN-NAGHDI MODELS

In this work, Rayleigh wave propagation in thermoelastic diffusion medium in the context of the Green-Naghdi theories of thermoelasticity (type II and type III) /1, 2/ is studied. We consider the effect of thermal and diffusion parameters on the propagation of Rayleigh waves. The propagation condi-tion in complex irrational form after some algebraic manip-ulations is obtained in the form of polynomial equation of 15th degree at the stress free, isothermal, and isoconcentrated boundary. The roots of this polynomial equation are checked for satisfying the original dispersion equation and the property of decay with depth. The behaviour of particle motion is studied inside and at the surface of the medium. Furthermore, we use the numerical methods and computa-tions to calculate the propagation characteristics like phase velocity, attenuation coefficient and particle path for the copper material. Some special cases are also discussed.