Non-Fourier Heat Conduction Effects During High-Energy Beam Metalworking

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Non-Fourier heat conduction induced by ultrafast heating of metals with a high-energy density beam was analyzed. The non-Fourier effects during high heat flux heating were illustrated by comparing the transient temperature response to different heat flux and material relaxation times. Based on the hyperbolic heat conduction equation for the non-Fourier heat conduction law, the equation was solved using a hybrid method combining an analytical solution and numerical inversion of the Laplace transforms for a semi- infinite body with the heat flux boundary. Analysis of the temperature response and distribution led to a crite- rion for the applicability of the non-Fourier heat conduction law. The results show that at a relatively large heat flux, such as greater than 108 W/cm2, the heat-affected zone in the metal material experiences a strong thermal shock as the non-Fourier effects cause a large step increase in the surface temperature. The results provide a method for analyzing transient heat conduction problems using a high-energy density beam, such as electron beam deep penetration welding. Non-Fourier heat conduction induced by ultrafast heating of metals with a high-energy flux beam were analyzed by comparing the transient temperature response to different heat flux and material relaxation times. Based on the hyperbolic heat conduction equation for the non-Fourier heat conduction law, the equation was solved using a hybrid method combining an analytical solution and numerical inversion of the Laplace transforms for a semi-infinite body with the heat flux boundary. Analysis of the temperature response and distribution led to a crite- rion for the applicability of the non-Fourier heat conduction law. The results show that at a relatively large heat flux, such as greater than 108 W / cm2, the heat-affected zone in the metal material experience a strong thermal shock as the non-Fourier effects cause a large step increase in the surface temperature. The results provide a method for analyzing t ransient heat conduction problems using a high-energy density beam, such as electron beam deep penetration welding.
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