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Mathematical modeling of laser induced heating and melting in solids
Authors:Z H Shen  S Y Zhang  J Lu  X W Ni
Institution:

a Institute of Modern Acoustics, Nanjing University, Nanjing 210093, People's Republic of China

b Department of Applied Physics, Nanjing University of Science & Technology, Nanjing 210094, People's Republic of China

Abstract:An analytical method for treating the problem of laser heating and melting is developed in this paper. The analytical method has been applied to aluminum, titanium, copper, silver and fused quartz and the time needed to melt and vaporize and the effects of laser power density on the melt depth for four metals are also obtained. In addition, the depth profile and time evolution of the temperature of aluminum before melting and after melting are given, in which a discontinuity in the temperature gradient is obviously observed due to the latent heat of fusion and the increment in thermal conductivity in solid phase. Additionally, the calculated melt depth evolution of fused quartz induced by 10.6 μm laser irradiation is in good agreement with the experimental results.
Keywords:Laser  Heating  Melting
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