山东建筑大学学报2026，Vol.41Issue(3)：38-46,9.DOI:10.12077/sdjz.2026.03.005
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
Time-fractional dual-phase-lag modeling of non-Fourier heat conduction under ultrafast laser irradiation
摘要
Abstract
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.关键词
超快激光/分数阶导数/TFDPL/时间记忆效应Key words
ultrafast laser/fractional derivative/TFDPL/temporal memory effect分类
能源科技引用本文复制引用
毛煜东,何鲁杭,杨开敏,朱彦龙,于明志..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[J].山东建筑大学学报,2026,41(3):38-46,9.基金项目
山东省高等学校青创科技支持计划项目(2019KJH012) （2019KJH012）
济南市科研带头人工作室项目(2019GXRC056) （2019GXRC056）
山东省自然科学基金项目(ZR2017BEE052) （ZR2017BEE052）
