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Abstract

The present investigation is concerned with wave propagation at an interface of two different micropolar thermoelastic solid half-spaces with distinct conductive and thermodynamic temperatures. Reflection and transmission phenomena of plane waves impinging obliquely at a plane interface between two different micropolar thermoelastic solid half-spaces with two temperatures are investigated. The incident wave is assumed to be striking at the plane interface after propagating through one of the micropolar generalized thermoelastic solids with two temperatures. Amplitude ratios of the various reflected and transmitted waves are obtained in closed form and it is found that these are functions of the angle of incidence and frequency, and are affected by the elastic properties of the media. Micropolarity and twotemperature effects are shown on these amplitude ratios for a specific model. Results of some earlier workers have also been deduced from the present investigation. 121 122 RAJNEESH KUMAR, MANDEEP KAUR AND SATISH C. RAJVANSHI Chen and Williams [1968] and Chen et al. [1969] formulated a theory of heat conduction in deformable bodies. This depends on two distinct temperatures, the conductive temperature and thermodynamic temperature T . Chen et al. [1969] suggested that the difference between these two temperatures is proportional to the heat supply. These two temperatures may be equal under certain conditions for timeindependent situations. However, for time-dependent problems relating to wave propagation, these two temperatures are, in general, different, regardless of the presence of a heat supply. The two temperatures and the strain are found to have representation in the form of a traveling wave pulse, a response which occurs instantaneously throughout the body [Boley and Tolins 1962]. Warren and Chen [1973] investigated wave propagation in the two-temperature theory of thermoelasticity.Youssef [2006] presented a new theory of generalized thermoelasticity by taking into account the theory of heat conduction in deformable bodies, which depends on distinct conductive and thermodynamic temperatures. He also established a uniqueness theorem for the equation of two-temperature generalized linear thermoelasticity for a homogeneous and isotropic body. Recently, Puri and Jordan [2006] studied the propagation of plane waves under two temperatures. Youssef and Al-Lehaibi [2007] and Youssef and Al-Harby [2007] investigated various problems on the basis of two-temperature thermoelasticity with a relaxation time and showed that the obtained results are qualitatively different when compared to those in the case of one-temperature thermoelasticity. Magaña and Quintanilla [2009] investigated the uniqueness and growth of the solution in two-temperature generalized thermoelastic theories. Mukhopadhyay and Kumar [2009] studied thermoelastic interaction in two-temperature generalized thermoelasticity in an infinite medium with a cylindrical cavity. Various investigators have studied problems in two temperatures, for examp...