基于时间分数阶双相滞模型的超快激光非傅里叶导热研究OA

At micro-and nanoscale dimensions,heat conduction induced by ultrafast laser irradiation exhibits pronounced non-Fourier characteristics,such as thermal response delay,nonlocal diffusion,and memory effects,which cannot be accurately described by the classical Fourier model.To address this limitation,a time-fractional dual-phase-lag(TFDPL)heat conduction model is developed by introducing a fractional-order time derivative into the conventional dual-phase-lag framework to characterize the material's memory effect on the temporal history of heat flux and enhance the description of microscale nonlocal heat transport.Analytical solutions are obtained using the Laplace transform,and the timedomain temperature field is reconstructed through the Stehfest numerical inversion method.The influences of key parameters,including the fractional order α,Knudsen number(Kn),and lag-time ratio b—on the temperature response are systematically investigated.The results show that α significantly affects heat diffusion rate and peak temperature,highlighting the temporal nonlocality of the system;Kn governs spatial scale effects and modulates the sensitivity of the thermal response to α,b and α exhibit relatively independent regulatory effects on thermal behavior.Overall,the TFDPL model effectively captures the non-Fourier heat conduction behavior under ultrafast laser heating and provides a theoretical reference for thermal modeling and management in micro/nanoscale laser processing.