搜索

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

宏微观耦合模拟熔池不同区域中枝晶竞争生长过程

韩日宏 董文超 陆善平 李殿中 李依依

引用本文:
Citation:

宏微观耦合模拟熔池不同区域中枝晶竞争生长过程

韩日宏, 董文超, 陆善平, 李殿中, 李依依

Macro-micro coupled simulation of competitive dendrite growth in different areas of the welding pool

Han Ri-Hong, Dong Wen-Chao, Lu Shan-Ping, Li Dian-Zhong, Li Yi-Yi
PDF
导出引用
  • 针对熔化焊过程建立了宏微观耦合模型, 模拟了熔池内不同区域凝固过程中随机取向枝晶的竞争生长过程. 通过宏观三维有限元模型计算熔池中瞬态的传热传质过程, 利用双线性插值算法将凝固参数传递给微观组织模型. 采用元胞自动机法模拟随机取向的枝晶在熔池凝固条件下的竞争生长过程. 模拟结果表明, 所建立的微观模型能够精确模拟任意生长取向的枝晶. 凝固条件中最大温度梯度方向对枝晶竞争过程有明显选择作用, 生长方向与最大温度梯度方向相同或接近的枝晶在竞争中具有更大优势. 焊缝中的晶粒组织由枝晶簇发展形成, 晶粒组织的形貌演变取决于相邻枝晶簇之间的竞争过程, 具有择优取向的枝晶簇会逐渐排挤非择优取向的枝晶簇并最终将其阻挡在凝固组织内部, 宏观晶粒的取向与其内部枝晶簇的生长方向并不一定相同. 熔池中心线附近区域在焊接过程中具有更小的温度梯度、更大的凝固速率以及更大的局部冷却速率, 凝固后可以获得更加细小的焊缝枝晶组织. 枝晶间距的模拟结果与相应凝固条件下的试验数据符合较好.
    A macro-micro coupled model is developed to simulate the competitive dendrite growths in different areas of the welding pool in the solidification process. The transient solidification conditions in welding pool are obtained by the three-dimensional (3D) macro-scale FEM model. The thermal conditions used in the micro-scale cellular automata model is obtained from the macro-scale FEM model by using the interpolation algorithm. The simulation results indicate that the micro-scale cellular automata model developed in this paper can simulate the morphologies of dendrites with various growth directions accurately. The solidification conditions in welding pool have obvious effects on the competitive dendrite growth. The dendrites with their preferential orientations parallel to the direction of the highest temperature gradient are more competitive. The morphology of grain structure is determined by the competition among different dendritic arrays. The dendritic arrays with more favorable growth direction can gradually crowd out other dendritic arrays and occupy more space through dendrite branching. The area near the central line of welding pool has a lower temperature gradient, a higher solidification rate, and a higher cooling rate in the solidification process, and such solidification conditions lead to the finer microstructure. The simulation results of the secondary dendrite arm spacing are in agreement with the experimental results under the corresponding solidification conditions.
    • 基金项目: 国家自然科学基金(批准号:51104142)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51104142).
    [1]

    Echebarria B, Karma A, Plapp M 2004 Phys. Rev. E 70 061604

    [2]

    Chen Y, Kang X H, Li D Z 2009 Acta Phys. Sin. 58 390 (in Chinese) [陈云, 康秀红, 李殿中 2009 物理学报 58 390]

    [3]

    Karma A 2001 Phys. Rev. Lett. 87 115701

    [4]

    Nastac L 1999 Acta Mater. 47 4253

    [5]

    Zhu M F, Stefanescu D M 2007 Acta Mater. 55 1741

    [6]

    Beltran-Sanchez L, Stefanescu D M 2003 Metall. Mater. Trans. A 34 367

    [7]

    Beltran-Sanchez L, Stefanescu D M 2004 Metall. Mater. Trans. A 35 2471

    [8]

    Li Q, Li D Z, Qian B N 2004 Acta Phys. Sin. 53 3477 (in Chinese) [李强, 李殿中, 钱百年 2004 物理学报 53 3477]

    [9]

    Shi Y F, Xu Q Y, Liu B C 2012 Acta Phys. Sin. 61 108101 (in Chinese) [石玉峰, 许庆彦, 柳百成 2012 物理学报 61 108101]

    [10]

    Michelic S C, Thuswaldner J M, Bernhard C 2010 Acta Mater. 58 2738

    [11]

    Li Y, Kim J 2012 Int. J. Heat Mass Transfer 55 7926

    [12]

    Pan S Y, Zhu M F 2009 Acta Phys. Sin. 58 278 (in Chinese) [潘诗琰, 朱鸣芳 2009 物理学报 58 278]

    [13]

    Pan S, Zhu M 2010 Acta Mater. 58 340

    [14]

    Lu Y, Beckermann C, Ramirez J C 2005 J. Cryst. Growth 280 320

    [15]

    Shi Y F, Xu Q Y, Liu B C 2012 Acta Phys. Sin. 61 108101 (in Chinese) [石玉峰, 许庆彦, 柳百成 2012 物理学报 61 108101]

    [16]

    Pavlyk V, Dilthey U 2004 Model. Simul. Mater. Sci. Eng. 12 S33

    [17]

    Yin H, Felicelli S D 2010 Acta Mater. 58 1455

    [18]

    Tan W, Wen S, Bailey N, Shin Y C 2011 Metall. Mater. Trans. B 42 1306

    [19]

    Farzadi A, Do-Quang M, Serajzadeh S, Kokabi A, Amberg G 2008 Model. Simul. Mater. Sci. Eng. 16 065005

    [20]

    Fallah V, Amoorezaei M, Provatas N, Corbin S, Khajepour A 2012 Acta Mater. 60 1633

    [21]

    Huang A G, Yu S F, Li Z Y 2008 Trans. China Weld. Inst. 29 45 (in Chinese) [黄安国, 余圣甫, 李志远 2008 焊接学报 29 45]

    [22]

    Wei Y, Zhan X, Dong Z, Yu L 2007 Sci. Technol. Weld. Joi. 12 138

    [23]

    Zhan X, Wei Y, Dong Z 2008 J. Mater. Process. Tech. 208 1

    [24]

    Zhan X, Dong Z, Wei Y, Ma R 2009 J. Cryst. Growth 311 4778

    [25]

    Dong Z, Wang S, Ma R, Wei Y, Song K, Zhai G 2011 J. Mater. Sci. Technol. 27 183

    [26]

    Zheng W J, Dong Z B, Wei Y H, Song K J, Guo J L, Wang Y 2014 Comp. Mater. Sci. 82 525

    [27]

    Ye Y H, Chen X 2002 Chin. Phys. Lett. 19 788

    [28]

    Dong W C, Lu S P, Li D Z, Li Y Y 2011 Int. J. Heat Mass Transfer 54 1420

    [29]

    Lu S P, Dong W C, Li D Z, Li Y Y 2009 Acta Phys. Sin. 58 S94 (in Chinese) [陆善平, 董文超, 李殿中, 李依依 2009 物理学报 58 S94]

    [30]

    Shi Y, Han R H, Huang J K, Fan D 2012 Acta Phys. Sin. 61 20205 (in Chinese) [石玗, 韩日宏, 黄健康, 樊丁 2012 物理学报 61 20205]

    [31]

    Luo S, Zhu M Y 2013 Comp. Mater. Sci. 71 10

    [32]

    Yin H, Felicelli S D 2009 Model. Simul. Mater. Sci. Eng. 17 075011

    [33]

    Wang W, Lee P, McLean M 2003 Acta Mater. 51 2971

    [34]

    Nakagawa M, Natsume Y, Ohsasa K 2006 ISIJ Int. 46 909

    [35]

    Paul A, DebRoy T 1988 Metall. Mater. Trans. B 19 851

  • [1]

    Echebarria B, Karma A, Plapp M 2004 Phys. Rev. E 70 061604

    [2]

    Chen Y, Kang X H, Li D Z 2009 Acta Phys. Sin. 58 390 (in Chinese) [陈云, 康秀红, 李殿中 2009 物理学报 58 390]

    [3]

    Karma A 2001 Phys. Rev. Lett. 87 115701

    [4]

    Nastac L 1999 Acta Mater. 47 4253

    [5]

    Zhu M F, Stefanescu D M 2007 Acta Mater. 55 1741

    [6]

    Beltran-Sanchez L, Stefanescu D M 2003 Metall. Mater. Trans. A 34 367

    [7]

    Beltran-Sanchez L, Stefanescu D M 2004 Metall. Mater. Trans. A 35 2471

    [8]

    Li Q, Li D Z, Qian B N 2004 Acta Phys. Sin. 53 3477 (in Chinese) [李强, 李殿中, 钱百年 2004 物理学报 53 3477]

    [9]

    Shi Y F, Xu Q Y, Liu B C 2012 Acta Phys. Sin. 61 108101 (in Chinese) [石玉峰, 许庆彦, 柳百成 2012 物理学报 61 108101]

    [10]

    Michelic S C, Thuswaldner J M, Bernhard C 2010 Acta Mater. 58 2738

    [11]

    Li Y, Kim J 2012 Int. J. Heat Mass Transfer 55 7926

    [12]

    Pan S Y, Zhu M F 2009 Acta Phys. Sin. 58 278 (in Chinese) [潘诗琰, 朱鸣芳 2009 物理学报 58 278]

    [13]

    Pan S, Zhu M 2010 Acta Mater. 58 340

    [14]

    Lu Y, Beckermann C, Ramirez J C 2005 J. Cryst. Growth 280 320

    [15]

    Shi Y F, Xu Q Y, Liu B C 2012 Acta Phys. Sin. 61 108101 (in Chinese) [石玉峰, 许庆彦, 柳百成 2012 物理学报 61 108101]

    [16]

    Pavlyk V, Dilthey U 2004 Model. Simul. Mater. Sci. Eng. 12 S33

    [17]

    Yin H, Felicelli S D 2010 Acta Mater. 58 1455

    [18]

    Tan W, Wen S, Bailey N, Shin Y C 2011 Metall. Mater. Trans. B 42 1306

    [19]

    Farzadi A, Do-Quang M, Serajzadeh S, Kokabi A, Amberg G 2008 Model. Simul. Mater. Sci. Eng. 16 065005

    [20]

    Fallah V, Amoorezaei M, Provatas N, Corbin S, Khajepour A 2012 Acta Mater. 60 1633

    [21]

    Huang A G, Yu S F, Li Z Y 2008 Trans. China Weld. Inst. 29 45 (in Chinese) [黄安国, 余圣甫, 李志远 2008 焊接学报 29 45]

    [22]

    Wei Y, Zhan X, Dong Z, Yu L 2007 Sci. Technol. Weld. Joi. 12 138

    [23]

    Zhan X, Wei Y, Dong Z 2008 J. Mater. Process. Tech. 208 1

    [24]

    Zhan X, Dong Z, Wei Y, Ma R 2009 J. Cryst. Growth 311 4778

    [25]

    Dong Z, Wang S, Ma R, Wei Y, Song K, Zhai G 2011 J. Mater. Sci. Technol. 27 183

    [26]

    Zheng W J, Dong Z B, Wei Y H, Song K J, Guo J L, Wang Y 2014 Comp. Mater. Sci. 82 525

    [27]

    Ye Y H, Chen X 2002 Chin. Phys. Lett. 19 788

    [28]

    Dong W C, Lu S P, Li D Z, Li Y Y 2011 Int. J. Heat Mass Transfer 54 1420

    [29]

    Lu S P, Dong W C, Li D Z, Li Y Y 2009 Acta Phys. Sin. 58 S94 (in Chinese) [陆善平, 董文超, 李殿中, 李依依 2009 物理学报 58 S94]

    [30]

    Shi Y, Han R H, Huang J K, Fan D 2012 Acta Phys. Sin. 61 20205 (in Chinese) [石玗, 韩日宏, 黄健康, 樊丁 2012 物理学报 61 20205]

    [31]

    Luo S, Zhu M Y 2013 Comp. Mater. Sci. 71 10

    [32]

    Yin H, Felicelli S D 2009 Model. Simul. Mater. Sci. Eng. 17 075011

    [33]

    Wang W, Lee P, McLean M 2003 Acta Mater. 51 2971

    [34]

    Nakagawa M, Natsume Y, Ohsasa K 2006 ISIJ Int. 46 909

    [35]

    Paul A, DebRoy T 1988 Metall. Mater. Trans. B 19 851

  • [1] 张山, 张红伟, 苗淼, 冯苗苗, 雷洪, 王强. 高Cr铸铁中M7C3碳化物与奥氏体共生长的元胞自动机模拟. 物理学报, 2021, 70(21): 218102. doi: 10.7498/aps.70.20210725
    [2] 张士杰, 王颖明, 王琦, 李晨宇, 李日. 基于元胞自动机-格子玻尔兹曼模型的枝晶碰撞行为模拟. 物理学报, 2021, 70(23): 238101. doi: 10.7498/aps.70.20211292
    [3] 方辉, 薛桦, 汤倩玉, 张庆宇, 潘诗琰, 朱鸣芳. 温度梯度区域熔化作用下熔池迁移的元胞自动机模拟. 物理学报, 2019, 68(4): 048102. doi: 10.7498/aps.68.20181587
    [4] 梁经韵, 张莉莉, 栾悉道, 郭金林, 老松杨, 谢毓湘. 多路段元胞自动机交通流模型. 物理学报, 2017, 66(19): 194501. doi: 10.7498/aps.66.194501
    [5] 魏雷, 林鑫, 王猛, 黄卫东. 激光立体成形中熔池凝固微观组织的元胞自动机模拟. 物理学报, 2015, 64(1): 018103. doi: 10.7498/aps.64.018103
    [6] 郭灿, 王锦程, 王志军, 李俊杰, 郭耀麟, 唐赛. BCC枝晶生长原子堆垛过程的晶体相场研究. 物理学报, 2015, 64(2): 028102. doi: 10.7498/aps.64.028102
    [7] 陈瑞, 许庆彦, 柳百成. 基于元胞自动机方法的定向凝固枝晶竞争生长数值模拟. 物理学报, 2014, 63(18): 188102. doi: 10.7498/aps.63.188102
    [8] 王雷, 王楠, 冀林, 姚文静. 高生长速度条件下的层片棒状共晶转变机理研究. 物理学报, 2013, 62(21): 216801. doi: 10.7498/aps.62.216801
    [9] 永贵, 黄海军, 许岩. 菱形网格的行人疏散元胞自动机模型. 物理学报, 2013, 62(1): 010506. doi: 10.7498/aps.62.010506
    [10] 吴伟, 孙东科, 戴挺, 朱鸣芳. 枝晶生长和气泡形成的数值模拟. 物理学报, 2012, 61(15): 150501. doi: 10.7498/aps.61.150501
    [11] 魏雷, 林鑫, 王猛, 黄卫东. 基于MeshTV界面重构算法的二元合金自由枝晶生长元胞自动机模型. 物理学报, 2012, 61(9): 098104. doi: 10.7498/aps.61.098104
    [12] 彭莉娟, 康瑞. 考虑驾驶员特性的一维元胞自动机交通流模型. 物理学报, 2009, 58(2): 830-835. doi: 10.7498/aps.58.830
    [13] 单博炜, 林鑫, 魏雷, 黄卫东. 纯物质枝晶凝固的元胞自动机模型. 物理学报, 2009, 58(2): 1132-1138. doi: 10.7498/aps.58.1132
    [14] 张文铸, 袁 坚, 俞 哲, 徐赞新, 山秀明. 基于元胞自动机的无线传感网络整体行为研究. 物理学报, 2008, 57(11): 6896-6900. doi: 10.7498/aps.57.6896
    [15] 梅超群, 黄海军, 唐铁桥. 高速公路入匝控制的一个元胞自动机模型. 物理学报, 2008, 57(8): 4786-4793. doi: 10.7498/aps.57.4786
    [16] 岳 昊, 邵春福, 陈晓明, 郝合瑞. 基于元胞自动机的对向行人交通流仿真研究. 物理学报, 2008, 57(11): 6901-6908. doi: 10.7498/aps.57.6901
    [17] 郭四玲, 韦艳芳, 薛 郁. 元胞自动机交通流模型的相变特性研究. 物理学报, 2006, 55(7): 3336-3342. doi: 10.7498/aps.55.3336
    [18] 吴可非, 孔令江, 刘慕仁. 双车道元胞自动机NS和WWH交通流混合模型的研究. 物理学报, 2006, 55(12): 6275-6280. doi: 10.7498/aps.55.6275
    [19] 花 伟, 林柏梁. 考虑行车状态的一维元胞自动机交通流模型. 物理学报, 2005, 54(6): 2595-2599. doi: 10.7498/aps.54.2595
    [20] 牟勇飚, 钟诚文. 基于安全驾驶的元胞自动机交通流模型. 物理学报, 2005, 54(12): 5597-5601. doi: 10.7498/aps.54.5597
计量
  • 文章访问数:  6643
  • PDF下载量:  610
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-05-27
  • 修回日期:  2014-07-03
  • 刊出日期:  2014-11-05

/

返回文章
返回