相対論的熱伝導方程式と連成された熱弾性応力波の平面問題について

抄録

Heat transfer in media has been generally characterized by the empirical heat conduction law which was proposed by Fourier. However, it has been pointed out that the application of this empirical law to problem of fast transient heat transfer such as a pulsed laser irradiation is not available, because Fourier’s law leads to an infinite velocity of heat propagation since the resulting diffusion equation is parabolic form. It has to be imposed that the heat propagates with a finite velocity from the restriction of relativistic concept. A lot of models have been suggested to overcome this difficulty. In this study, a plane problem of thermoelastic wave analysis was conducted based upon coupling with relativistic hat conduction equation formulated by Load and Shulman and dynamic theory of thermo-elasticity. In some reports related with this problem, the relativistic heat conduction equation was linearized by eliminating a higher order term. In this study, influence of nonlinear term in the relativistic equation on thermal wave propagation was discussed strictly.