[1] CHEN S,GUILLEMOT G,GANDIN C-A. Three-dimensional cellular automaton-finite element modeling of solidification grain structures for arc-welding processes[J]. Acta Materialia,2016,115:448-467. [2] 陈飞,崔振山,董定乾. 微观组织演变元胞自动机模拟研究进展[J]. 机械工程学报,2015,51(4):30-39. CHEN Fei,CUI Zhenshan,DONG Dingqian. Research progress in cellular automaton simulation of microstructure evolution[J]. Journal of Mechanical Engineering,2015,51(4):30-39. [3] WEI H L,ELMER J W,DEBROY T. Origin of grain orientation during solidification of an aluminum alloy[J]. Acta Materialia,2016,115:123-131. [4] ZHENG W J,DONG Z B,WEI Y H,et al. Phase field investigation of dendrite growth in the welding pool of aluminum alloy 2A14 under transient conditions[J]. Computational Materials Science,2014,82:525-530. [5] TAN W,BAILEY N S,SHIN Y C. Numerical modeling of transport phenomena and dendritic growth in laser spot conduction welding of 304 stainless steel[J]. Journal of Manufacturing Science and Engineering,2012,134(4):041010. [6] WEI H L,ELMER J W,DEBROY T. Origin of grain orientation during solidification of an aluminum alloy[J]. Acta Materialia,2016,115:123-31. [7] WEI H L,ELMER J W,DEBROY T. Three-dimensional modeling of grain structure evolution during welding of an aluminum alloy[J]. Acta Materialia,2017,126:413-425. [8] HAN R,LI Y,LU S. Macro-micro modeling and simulation for the morphological evolution of the solidification structures in the entire weld[J]. International Journal of Heat and Mass Transfer,2017,106:1345-1355. [9] FARZADI A,DO-QUANG M,SERAJZADEH S,et al. Phase-field simulation of weld solidification microstructure in an Al-Cu alloy[J]. Modelling and Simulation in Materials Science and Engineering,2008,16(6):065005. [10] FALLAH V,AMOOREZAEI M,PROVATAS N,et al. Phase-field simulation of solidification morphology in laser powder deposition of Ti-Nb alloys[J]. Acta Materialia,2012,60(4):1633-1646. [11] WANG D,KADOI K,SHINOZAKI K. Prediction of residual liquid distribution of austenitic stainless steel during laser beam welding using multi-phase field modeling[J]. ISIJ International,2017,57(1):139-147. [12] ZHENG W,DONG Z,WEI Y,et al. Onset of the initial instability during the solidification of welding pool of aluminum alloy under transient conditions[J]. Journal of Crystal Growth,2014,402:203-209. [13] MULLINS W W,SEKERKA R F. Stability of a planar interface during solidification of a dilute binary alloy[J]. Journal of Applied Physics,1964,35(2):444-451. [14] 黄卫东,周尧和. 定向凝固的界面形态转变[J]. 金属学报,1991,27(2):86-91. HUANG Weidong,ZHOU Yaohe. Interface morphology transitions during directional solidification in a transparent model alloy[J]. Acta Metallurgica Sinica,1991,27(2):86-91. [15] WARREN J,LANGER J. Prediction of dendritic spacings in a directional-solidification experiment[J]. Physical Review E,1993,47(4):2702-2712. [16] LOSERT W,SHI B Q,CUMMINS H Z. Evolution of dendritic patterns during alloy solidification:Onset of the initial instability[J]. Proceedings of the National Academy of Sciences of the United States of America,1998,95(2):431-438. [17] 林鑫,李涛,王琳琳,等. 单相合金凝固过程时间相关的界面稳定性(I)[J]. 物理学报,2004,11(53):3971-3977. LIN Xin,LI Tao,WANG Linlin,et al. Time-dependent interface stability during directional solidification of a single phase alloy(I)[J]. Acta Metallurgica Sinica,2004,11(53):3971-3977. [18] WANG Z,WANG J,YANG G. Fourier synthesis predicting onset of the initial instability during directional solidification[J]. Applied Physics Letters,2009,94(6):061920. [19] CHEN Y,BOGNO A A,XIAO N M,et al. Quantitatively comparing phase-field modeling with direct real time observation by synchrotron X-ray radiography of the initial transient during directional solidification of an Al-Cu alloy[J]. Acta Materialia,2012,60(1):199-207. [20] DONG Z,ZHENG W,WEI Y,et al. Dynamic evolution of initial instability during non-steady-state growth[J]. Physical Review E,2014,89:062403. [21] WANG L,WEI Y,ZHAN X,et al. Simulation of dendrite growth in the laser welding pool of aluminum alloy 2024 under transient conditions[J]. Journal of Materials Processing Technology,2017,246:22-29. [22] WANG Z J,WANG J C,YANG G C. Onset of initial planar instability with surface-tension anisotropy during directional solidification[J]. Physical Review E,2009,80:052603 [23] FORNARO O,PALACIO H A. Planar front instabilities during directional solidification of hcp:Zn-Cd dilute alloys[J]. Scripta Materialia,2006,54:2149-2153. [24] 王理林,王贤斌,王红艳,等. 晶体取向对定向凝固平界面失稳行为的影响[J]. 物理学报,2012,61(14):148104. WANG Lilin,WANG Xianbin,WANG Hongyan,et al. Effect of crystallographic orientation on instability behavior of planar interface in directional solidification[J]. Acta Metallurgica Sinica,2012,61(14):148104. [25] 刘会杰. 焊接冶金与焊接性[M]. 北京:机械工业出版社,2002. LIU Huijie. Welding metallurgy and weldability[M]. Beijing:China Machine Press,2002. [26] KARMA A. Phase-field formulation for quantitative modeling of alloy solidification[J]. Physical Review Letters,2001,87(11):115701. [27] ECHEBARRIA B,KARMA A,PLAPP M. Quantitative phase-field model of alloy solidification[J]. Physical Review E,2004,70(6):061604. [28] WANG Z,LI J,WANG J,et al. Phase field modeling the selection mechanism of primary dendritic spacing in directional solidification[J]. Acta Materialia,2012,60(5):1957-1964. [29] 陈轩,卢庆华,张静,等. 高频微振条件下激光焊接组织研究[J]. 机械工程学报,2016,52(20):60-65. CHEN Xuan,LU Qinghua,ZHANG Jing,et al. Microstructure characteristic of laser welded joint under high frequency micro-vibration condition[J]. Journal of Mechanical Engineering,2016,52(20):60-65. [30] 彭必荣,卢庆华,何晓峰,等. 机械振动对激光焊接接头组织的影响[J]. 机械工程学报,2015,51(20):94-100. PENG Birong,LU Qinghua,HE Xiaofeng,et al. Effects of mechanical vibration on microstructure of laser welded joint[J]. Journal of Mechanical Engineering,2015,51(20):94-100. |