A simple model for laser drilling

被引:25
作者
Collins, Jeb [1 ]
Gremaud, Pierre [1 ,2 ]
机构
[1] N Carolina State Univ, Dept Math, Raleigh, NC 27695 USA
[2] SAMSI, Res Triangle Pk, NC 27709 USA
基金
美国国家科学基金会;
关键词
Laser drilling; Phase change; Free boundary; Numerical methods; PULSED-LASER; VAPORIZATION; PRESSURE; SURFACE;
D O I
10.1016/j.matcom.2010.07.010
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A simple mathematical model of laser drilling is proposed. Assuming axi-symmetry of the process around the axis of the laser beam, a one-dimensional formulation is obtained after cross-sectional averaging. The novelty of the approach relies on the fact that even after dimension reduction, the shape of the hole can still be described. The model is derived, implemented and validated for drilling using lasers with intensities in the GW/cm(2) range and microsecond pulses. (C) 2010 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:1541 / 1552
页数:12
相关论文
共 21 条
[1]  
ANISIMOV SI, 1968, SOV PHYS JETP-USSR, V27, P182
[2]  
[Anonymous], 2002, Cambridge Texts in Applied Mathematics, DOI [10.1017/CBO9780511791253, DOI 10.1017/CBO9780511791253]
[3]  
Callen HB., 1985, Thermodynamics and an Introduction to Thermostatistics
[4]   A study on the prediction of the laser weld shape with varying heat source equations and the thermal distortion of a small structure in micro-joining [J].
Chang, WS ;
Na, SJ .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2002, 120 (1-3) :208-214
[5]   Hydrodynamic simulations of metal ablation by femtosecond laser irradiation [J].
Colombier, JP ;
Combis, P ;
Bonneau, F ;
Le Harzic, R ;
Audouard, E .
PHYSICAL REVIEW B, 2005, 71 (16)
[6]   Laser ablation using a long-pulsed, high-fluence, CW single-mode fiber laser [J].
Harp, W. R. ;
Dilwith, J. R. ;
Tu, J. F. .
JOURNAL OF MATERIALS PROCESSING TECHNOLOGY, 2008, 198 (1-3) :22-30
[7]  
Kelley C. T., 1995, ITERATIVE METHODS LI, DOI [10.1137/1.9781611970944, DOI 10.1137/1.9781611970944]
[8]   Multiple reflection and its influence on keyhole evolution [J].
Ki, H ;
Mohanty, PS ;
Mazumder, J .
JOURNAL OF LASER APPLICATIONS, 2002, 14 (01) :39-45
[9]   THEORETICAL MODELING OF RAPID SURFACE VAPORIZATION WITH BACK PRESSURE [J].
KNIGHT, CJ .
AIAA JOURNAL, 1979, 17 (05) :519-523
[10]  
LEONG K, 2007, POWER DRILLING IND L