Transient Temperature Field for the Material Heated by Short Pulse Laser Based on Fractional Derivative Theory

In this paper, the laser short-pulse heating of a solid surface is considered. The time fractional heat conduction model is used as the constitutive heat diffusion model and the corresponding fractional heat conduction equation is built. Inverse Laplace transform is applied to obtained the analytical solution for the unit step pulse laser. The numerical results are presented graphically for various values of fractional order parameters. Fractional order parameter not only influence magnitude of temperature rising, but also the velocity of heat propagation. This research provides some new points for further studying laser heating or other non-Fourier heat conduction problems.