The present investigation deals with the propagation of Rayleigh type surface waves in an isotropic microstretch thermoelastic diffusion solid half space under a layer of inviscid liquid. The secular equation for surface waves in compact form is derived after developing the mathematical model. The dispersion curves giving the phase velocity and attenuation coefficients with wave number are plotted graphically to depict the effect of an imperfect boundary alongwith the relaxation times in a microstretch thermoelastic diffusion solid half space under a homogeneous inviscid liquid layer for thermally insulated, impermeable boundaries and isothermal, isoconcentrated boundaries, respectively. In addition, normal velocity component is also plotted in the liquid layer. Several cases of interest under different conditions are also deduced and discussed. 1. Introduction A micropolar continuum is a collection of interconnected particles in the form of small rigid bodies undergoing both translational and rotational motions. Typical examples of such materials are granular media and multimolecular bodies whose microstructures act as an evident part in their macroscopic responses. Rigid chopped fibres, elastic solids with rigid granular inclusions, and other industrial materials such as liquid crystals are examples of such materials. The theory of micropolar elasticity introduced and developed by Eringen [1] aroused much interest because of its possible utility in investigating the deformation properties of solids for which the classical theory is inadequate. The micropolar theory is believed to be particularly useful in investigating materials consisting of bar-like molecules which exhibit microrotation effects and which can support body and surface couples. Eringen [2] formulated the theory of micropolar fluids which display the effects of local rotary inertia and couple stresses. This theory can be used to explain the flow of colloidal fluids, liquid crystals, animal blood, and so forth. Eringen [3] and Nowacki [4] extended the theory of micropolar elasticity to heat conducting elastic solids by including thermal effects. Chandrasekharaiah [5] developed a heat-flux dependent generalized theory of micropolar thermoelasticity. Eringen [6] developed the theory of micropolar elastic solid with stretch. Eringen [7] also developed the theory of microstretch thermoelastic solid. A microstretch elastic solid possesses seven degrees of freedom: three for translation, three for rotation, and one for stretch. The material points of microstretch bodies can stretch and
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