[1] CUI L, ZHANG Y C, HE D Y, et al. Research progress of high power fiber laser welding [J]. Laser Technology, 2012, 36(2): 154-159(in Chinese).
[2] LIU X X, HUANG R, YAO G, et al. Numerical simulation of the temperature field of laser butt welding of titanium alloy sheet [J]. Laser Technology, 2013, 37(5):700-704(in Chinese).
[3] JIAO J K, BAI X B, WANG B. Finite element analysis of PMMA laser transmission welding [J]. Laser Technology, 2011, 35(4): 453-456(in Chinese).
[4] SIMON G, GRATZKE U, KROOS J. Analysis of heat conduction in deep penetration welding with a time-modulated laser beam[J]. Journal of Physics, 1993, D26(5): 862-869.
[5] AMARA E H, FABBRO R, BENDIB A. Modeling of the compressible vapor flow induced in a keyhole during laser welding. Journal of Applied Physics, 2003, 93(7):4289-4296.
[6] LEE J Y, SUNG H K, FARSON D F, et al. Mechanism of keyhole formation and stability in stationary laser welding. Journal of Physics, 2002, D35(13):1570-1576.
[7] WANG R P, LEI Y P, SHI Y W. Application of heat source model based on ray tracing method in laser welding [J]. Laser Technology,2011, 35(1): 31-35(in Chinese).
[8] KI H, MAZUMDER J, MOHANTY P S. Modeling of laser keyhole welding: Part Ⅰ. Mathematical modeling, numerical methodology, role of recoil pressure, multiple reflections, and free surface evolution [J]. Metallurgical and Materials Transactions, 2002, A33(6): 1817-1830.
[9] PANG Sh Y, CHEN L, ZHOU J, et al. A three-dimensional sharp interface model for self-consistent keyhole and weld pool dynamics in deep penetration laser welding [J]. Journal of Physics, 2011, D44(2): 025301.
[10] ZHANG Y,LI L J,JIN X Zh.Diathermancy study on keyhole effects in 1aser deep penetration welding[J].Chinese Journal of Lasers, 2004, 31(12):1538-1542(in Chinese).
[11] HIRANO K, FABBRO R, MULLER M. Experimental determination of temperature threshold for melt surface deformation during laser interaction on iron at atmospheric pressure [J]. Journal of Physics, 2011, D44(43): 435402.
[12] BENNON W, INCROPERA F. A continuum model for momentum, heat and species transport in binary solid-liquid phase change systems-Ⅰ. Model formulation. International Journal of Heat Mass Transfer, 1987, 30(10): 2161-2170.
[13] TRAIDIA A, ROGER F, GUYOT E. Optimal parameters for pulsed gas tungsten arc welding in partially and fully penetrated weld pools [J]. International Journal of Thermal Sciences, 2010, 49(7): 1197-1208.
[14] JIN X, LI L, ZHANG Y. A study on fresnel absorption and reflections in the keyhole in deep penetration laser welding [J]. Journal of Physics, 2002, D35(18):2304.
[15] GOLUBEV V S. Possible models of hydrodynamic nonstationary phenomena in the processes of laser beam deep penetration into materials[J].Proceedings of the SPIE, 1996,2713:219-230.
[16] LEE J Y, KO S H, FARSON D F, et al. Mechanism of keyhole formation and stability in stationary laser welding [J]. Journal of Physics, 2002, D35(13):1570-1576.