特邀专栏:焊接过程测控与数值模拟

焊接熔池凝固过程联生结晶晶体学取向对线性不稳定动力学的影响

  • 郑文健 ,
  • 贺艳明 ,
  • 杨建国 ,
  • 董志波
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  • 1. 浙江工业大学化工机械设计研究所 杭州 310014;
    2. 哈尔滨工业大学先进焊接与连接国家重点实验室 哈尔滨 150001
郑文健,男,1985年出生,博士。主要研究方向为焊接过程数值模拟。E-mail:zwj0322@zjut.edu.cn

收稿日期: 2017-08-25

  修回日期: 2017-12-04

  网络出版日期: 2018-01-20

基金资助

国家重点研发计划(2016YFC0801905)和国家自然科学基金(51475426,51705461)资助项目。

Influence of the Crystal Orientation of Epitaxial Solidification on the Linear Instability Dynamic during the Solidification of Welding Pool

  • ZHENG Wenjian ,
  • HE Yanming ,
  • YANG Jianguo ,
  • DONG Zhibo
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  • 1. Institute of Process Equipment and Control Engineering, Zhejiang University of Technology, Hangzhou 310014;
    2. State Key Laboratory of Advanced Welding and Joining, Harbin Institute of Technology, Harbin 150001

Received date: 2017-08-25

  Revised date: 2017-12-04

  Online published: 2018-01-20

摘要

为了研究焊接熔池凝固过程中联生结晶的晶体学取向对线性不稳定动力学的影响规律,采用定量相场模型,耦合熔合线附近枝晶生长的瞬态条件,对不同晶体学取向的联生结晶生长过程进行数值模拟,同时采用考虑界面能各向异性的线性不稳定动力学解析模型对该系列联生结晶过程的界面演化进行预测。线性生长失稳波长的相场模拟结果和解析计算结果与试验结果吻合良好。不同晶体学取向的联生结晶的生长结果表明,晶体学取向偏角越大,界面越稳定,界面失稳临界时间越长。由于焊接熔池瞬态凝固条件的瞬变性,以及线性生长阶段界面波长选择放大机制的随机性,使晶体学取向偏角越大界面失稳波长越大的规律无法显现。因此焊接熔池中熔合线附近联生结晶的界面失稳胞晶间距与初始晶体学取向相关性不明显。

本文引用格式

郑文健 , 贺艳明 , 杨建国 , 董志波 . 焊接熔池凝固过程联生结晶晶体学取向对线性不稳定动力学的影响[J]. 机械工程学报, 2018 , 54(2) : 62 -69 . DOI: 10.3901/JME.2018.02.062

Abstract

To study the influence of the crystal orientation of epitaxial solidification on the linear instability dynamic, coupled equations are conducted to present the transient conditions of crystal growth near the fusion line of the welding pool. A quantitative phase field model is used to simulate the epitaxial solidification with different crystal orientations. Moreover, a linear instability dynamic analytical model is presented to describe the variation of the onset of the initial planar instability with surface tension anisotropy. The initial average wavelengths obtained by the phase field model and the analytical model are in good agreement with that in experiment result. The epitaxial solidification results show that the greater the angle between the crystal orientation and the temperature gradient, the better the stability of the interface, and the larger the critical time of onset of initial planar instability. Due to the transient of the growth conditions in welding pool and the randomness of the amplification mechanism, it could not show up the law that the greater the crystal orientation angle, the larger the initial average wavelength. Thus, the initial average wavelength of planar instability is seemly independent of the crystal orientation of epitaxial solidification.

参考文献

[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.
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