Wave propagation in temperature rate dependent thermoelasticity with two temperatures

The present investigation is concerned with two problems. (i) Reection and transmission of thermoelastic waves between two thermoelastic half-spaces with two temperature at an imperfect interface; and (ii) Propagation of Rayleigh waves at the free surface of thermoelastic solid with two temperature. In problem (i) the amplitude ratios for reection and transmission coefficients are obtained and deduced for normal force stiffness, transverse force stiffness, thermal contact con- ductance and perfect bonding. The numerical results obtained have been illusrated graphically to understand the behavior of amplitude ratios versus angle of incidence of longitudinal wave (P-wave), thermal wave (T-wave) and SV-wave. It is found that the amplitude ratios of various reected and transmitted waves are affected by the stiffness and two temperature effects. In problem (ii) the phase ve- locity and attenuation coeffcient are obtained and presented graphically to depict the effect of two temperatures. Some special cases of interest have been deduced from the two problems also.