Numerical simulation of thermoelastic wave coupled with non-Fourier heat conduction equation

Abstract

Heat transfer in continuum media has been generally characterized by an empirical heat conduction law known as the Fourier’s law. However, this empirical law has not been applied to fast transient heat transfer problems, such as a pulsed laser irradiation, because Fourier’s law results in an infinite velocity of heat propagation owing to the parabolic form of the diffusion equation. Hence, finite velocity of heat propagation has to be imposed. Several models have been suggested to address this issue. In this study, thermoelastic wave analysis is conducted by coupling a non-Fourier heat conduction equation with the dynamic theory of thermoelasticity. In the formulation by Load and Shulman, the non-Fourier heat conduction equation was linearized by eliminating a higher order term. In this study, full formulation involving nonlinear term was treated strictly. Subsequently, the thermoelastic wave behavior in the plate was analyzed and discussed based on the coupling effect.