Please wait a minute...
Acta Metall Sin  2010, Vol. 46 Issue (9): 1025-1033    DOI: 10.3724/SP.J.1037.2010.00194
论文 Current Issue | Archive | Adv Search |
PROGRESS AND APPLICATION OF PLASTIC FINITE ELEMENT METHOD IN METALS ROLLING PROCESS
LIU Xianghua
Academy of Engineering, Northeastern University, Shenyang 110819
Cite this article: 

LIU Xianghua. PROGRESS AND APPLICATION OF PLASTIC FINITE ELEMENT METHOD IN METALS ROLLING PROCESS. Acta Metall Sin, 2010, 46(9): 1025-1033.

Download:  PDF(1046KB) 
Export:  BibTeX | EndNote (RIS)      
Abstract  

The recent progress of plastic finite element method (FEM) and its application in rolling are introduced, including: (1) progress in rigid plastic FEM theory and application. It deals with the variational principle for rigid-plastic compressible materials, the uniqueness of extreme point of total power rate functional for hot rolling problem, and the examples of solving various rolling processes; (2) elastic-plastic FEM was used to analyze the normal longitude rolling and  the special rolling processes, such as wedge rolling, cross wedge rolling and skew rolling; (3) fast-FEM for modeling to control a rolling mill. Now it becomes true that a FEM calculation for one pass flat rolling could be accomplished within 50-100 ms, which means it is possible to meet the requirement of on-line use for the process control to the rolling mill instead the traditional mathematics models; (4) multi-scale FEM simulation for rolling using cellular automata (CA) and FEM. Here the CA was used to simulate the recrystallization and transformation, and the temperature field, stress field and strain field were provided by FEM; (5) using crystal plasticity FEM to simulate the texture evolution during rolling. The crystal plasticity theory was put into the framework of the finite element method, to simulate the plastic deformation process at the crystal scale. An example is given for modeling of rolling Al polycrystal and texture evolution during the deformation; (6) FEM simulation of the crack and inclusion behaviors during rolling. The research works on evolution of cracks on the corner, edge, surface and inside of a workpiece, also for the inclusion by FEM are introduced. Finally, an outlook has been made for the plastic FEM.

Key words:  plastic finite element method (FEM)      rolling process      fast FEM      multi-scale simulation     
Received:  21 April 2010     
Fund: 

Supported by National Natural Science Foundation of China (Nos.50634030 and 50974039)

URL: 

https://www.ams.org.cn/EN/10.3724/SP.J.1037.2010.00194     OR     https://www.ams.org.cn/EN/Y2010/V46/I9/1025

[1] Liu X H, Hu X L, Du L X. Math Models of Rolling Parameters and Its Applications. Beijing: Chemical Industry Presss, 2007: 3 (刘相华, 胡贤磊, 杜林秀. 轧制参数计算模型及其应用. 北京: 化学工业出版社, 2007: 3) [2] Wang Z R, Teng B G, Tang Z J. Chin Mech Eng, 2009; 20: 108 (王仲仁, 滕步刚, 汤泽军. 中国机械工程, 2009; 20: 108) [3] Liu X H, Yu H L, Li C S, Kusaba Y. Prog Nat Sci, 2006; 16: 124 (刘相华, 喻海良, 李长生, 草场芳昭. 自然科学进展, 2006; 16: 124) [4] Li C S, Song S N, Mei R B, Zhang G L, Liu X H. J Mech Eng, 2009; 45(6): 193 (李长生, 宋叔尼, 梅瑞斌, 张光亮, 刘相华. 机械工程学报, 2009; 45(6): 193) [5] Liu X H. Rigid–Plastic FEM and Its Application in Rolling. Beijing: Metallurgical Industry Press, 1994: 46 (刘相华. 刚塑性有限元及其在轧制中的应用. 北京: 冶金工业出版社, 1994: 46) [6] Lee C H, Kobayashi S. J Eng Ind–Trans ASME, 1973; 95: 865 [7] Mori K, Osakada K, Oda T. Int J Mech Sci, 1982; 24: 519 [8] Liu X H. Chin Sci Bull, 1990; 35: 692 [9] Song S N, Liu X H. Prog Nat Sci, 2000; 10: 702 [10] Song S N, Liu X H, Wang G D. Chin Sci Bull, 2000; 45: 11 [11] Liu X H. Bai G R. J Northeastern Unir Technol, 1986; 46(1): 28 (刘相华, 白光润. 东北工学院学报, 1986; 46(1): 28) [12] Jiang Z Y, Xiong S W, Liu X H, Wang G D, Zhang Q. J Mater Process Technol, 1998; 79: 109 [13] Xiong S W, Liu X H, Wang G D, Zhang Q. J Mater Process Technol, 2000; 101: 146 [14] Takuda H, Fujimoto H, Tsuchida M, Hatta N. Arch Appl Mech, 1995; 65: 365 [15] Segawa A, Kawanami T. J Mater Process Technol, 1995; 53: 544 [16] Komori K. J Mater Process Technol, 1997; 71: 329 [17] Wang M T, Du F S, Li X T, Zheng Y Z. Acta Metall Sin, 2005; 41: 118 (王敏婷, 杜凤山, 李学通, 郑炀曾. 金属学报, 2005; 41: 118) [18] Yang Y M, Du F S, Wang M T. Hot Working Technol, 2009; 38(23): 30 (杨永明, 杜凤山, 王敏婷. 热加工工艺, 2009; 38(23): 30) [19] Xu Z Q, Huang Y J, Liu C, Du F S, Shao T. Trans Beijing Inst Technol, 2009; 29: 1058 (许志强, 黄永健, 刘 才, 杜凤山, 邵 涛. 北京理工大学学报, 2009; 29: 1058) [20] Luo Y B, Liu X H, Xie J X. Chin J Nonferr Metal, 2009; 19: 1246 (罗奕兵, 刘新华, 谢建新. 中国有色金属学报, 2009; 19: 1246) [21] Jia A H, Wang B W, Wang B T. Metall Equip, 2006; (1): 12 (贾爱红, 王邦文, 王宝同. 冶金设备, 2006; 1: 12) [22] Komori K. Int J Mech Sci, 2005; 47: 1838 [23] Zhu C D, Shi S X, Hua L. Chin Mech Eng, 2009; 20: 1877 (朱春东, 史双喜, 华林. 中国机械工程, 2009; 20: 1877) [24] Markowski J. Metalurgija, 2005; 44: 215 [25] Yukawa N, Akiyama T, Yoshida Y, Ishikawa T. J Iron Steel Inst Jpn, 2008; 94: 399 [26] Gudur P P, Dixit U S. Eng Appl Artif Intell, 2008; 21: 43 [27] Wang J S, Bai J L, Liu XH. Principle and Process Control of Cold Strip Rolling. Beijing: Science Press, 2009: 86 (王军生, 白金兰, 刘相华. 带钢冷连轧原理与过程控制, 北京: 科学出版社, 2009: 86) [28] Marcal P V, King I P. Int J Mech Sci, 1967; 9: 143 [29] Yamada Y, Yashimura N, Sakurai T. Int J Mech Sci, 1968; 10: 343 [30] Liu C, Hartley P, Sturgess C E N, Rowe G W. Int J Mech Sci, 1985; 27: 531 [31] Du F S, Liu C. Acta Mech Solida Sin, 1995; 16: 325 (杜凤山, 刘才. 固体力学学报, 1995; 16: 325) [32] Liu L Z, Liu X H, Jiang Z Y. J Plast Eng, 2001; 8(1): 51 (刘立忠, 刘相华, 姜正义. 塑性工程学报, 2001; 8(1): 51) [33] Liu L Z, Liu X H, Wang G D. J Northeastern Univ, 2001; 22: 327 (刘立忠, 刘相华, 王国栋. 东北大学学报, 2001; 22: 327) [34] Shi X, Li S Q, Liu X H, Wang G D, Xu J Y. Iron Steel, 2004; 39(11): 45 (时旭, 李山青, 刘相华, 王国栋, 许健勇. 钢铁, 2004; 39(11): 45) [35] Liu X H, Shi X, Li S Q, Xu J Y,Wang G D. J Iron Steel Res Int, 2007; 14(5): 22 [36] Xu X M, Zhang W Z, Zong J F, Hou Y W. J Iron Steel Res, 2004; 16(3): 35 (许秀梅, 张文志, 宗家富, 侯英武. 钢铁研究学报, 2004; 16(3): 35) [37] Shuai M R, Qin J P. Special Steel, 2009; 30(4): 42 (帅美荣, 秦建平. 特殊钢, 2009; 30(4): 42) [38] Sun J L, Xu B C, Kang Y L, Yang J H. J Qinghai Univ Nat Sci, 2004; 22(1): 25 (孙建林, 许宝才, 康永林, 杨进航. 青海大学学报(自然科学版), 2004; 22(1): 25) [39] Yin Y D, Li S Z. Heavy Machinery, 2005; 14(4): 39 (尹元德, 李胜祗. 重型机械, 2005; 14(4): 39) [40] Li S Z, Xu J, Yin Y D, Xue J G, Pan F, Zheng J M, Joon J H. Acta Metall Sin (Engl Lett), 2007; 20: 225 [41] Shahani A R, Setayeshi S, Nodamaie S A, Asadi M A, Rezaie S. J Mater Process Technol, 2009; 209: 1920 [42] Nagase N, Yarita I. J Iron Steel Inst Jpn, 2009; 95: 131 [43] Luo J, Wang Y, Li A N, Hua L. J Wuhan Univ Technol, 2006; 28: 637 [44] Kukielka L, Kukielka K. In: Brebbia C A ed., Int Conf on High Performance Structures and Materials III, WIT Press/Computational Mechanics Publications, Southampton, England, 2006; 85: 663 [45] Farhat–Nia F, Salimi M, Movahhedy M R. J Mater Process Technol, 2006; 177: 525 [46] Guo L G, Yang H, Zhan M. Model Simul Mater Sci Eng, 2005; 13: 1029 [47] Jiang Z Y, Tieu A K, Lu C. J Mater Process Technol, 2004; 146: 167 [48] Liu X H, Bai G R. Met Sci Technol, 1986; 5(3): 93 (刘相华, 白光润. 金属科学与工艺, 1986; 5(3): 93) [49] Li C S, Song S N, Mei R B, Zhang G L, Liu X H. J Mech Eng, 2009; 45: 193 [50] Chen P, Sun S L, Yuan M W. Acta Mech Sin, 2002; 34: 216 (陈 璞, 孙树立, 袁明武. 力学学报, 2002; 34: 216) [51] Wang C J, Tang H Z, Chen D. Eng Technol, 2009; (Suppl): 816 (王春江, 唐宏章, 陈铎. 工程技术, 2009; (增刊): 816) [52] Liu X H. Bai G R. J Northeastern Univ Technol, 1990; 68:468 (刘相华, 白光润. 东北工学院学报, 1990; 68: 468) [53] Liu X H, Bai G R. In Wang Z R eds., Proc Int Conf on Ratory Forming, Beijing: International Academic Publisheres, 1989: 67 [54] Li C S, Mei R B, Zhang G L, Song S N, Liu X H. Steel Res Int, 2008; 79: 417 [55] Du F S, Wang G G, Li X T, Zang X L, Sun J N, Guo H C, Zeng X D. J Plast Eng, 2008; 15(1): 138 (杜凤山, 王贵国, 李学通, 臧新良, 孙静娜, 郭洪臣, 曾祥东. 塑性工程学报, 2008; 15(1): 138) [56] Mei R B. PhD Thesis, Northeastern University, Shenyang, 2009 (梅瑞斌. 东北大学博士学位论文, 沈阳, 2009) [57] Liu G. Master Dissertation, Northeastern University, Shenyang, 1998 (刘刚. 东北大学硕士学位论文, 沈阳, 1998) [58] Li P, Zhuang Z, Li D Z, Huang C J. Mech Eng, 2002; 24(3): 35 (李平, 庄 茁, 李殿中, 黄成江. 力学与实践, 2002; 24(3): 35) [59] Cui Z S, Xu B Y, Liu C. Eng Mech, 2002; 19(1): 42 (崔振山, 徐秉业, 刘 才. 工程力学, 2002; 19(1): 42) [60] Ding H L, Hirai K, Homma T, Kamado S. Comput Mater Sci, 2010; 47: 919 [61] Kim D J, Ku T W, Kang B S. J Mater Process Technol, 2002; 130–131: 456 [62] Park E S, Kang H G, Huh M Y, Kim H J, Bae J C. J Korean Inst Met Mater, 2009; 47: 363 [63] Wang M, Yang H, Sun Z C, Guo L G. J Mater Process Technol, 2009; 209: 3384 [64] Li L X. PhD Thesis, Chongqing University, 2003 (李立新. 重庆大学博士学位论文, 2003) [65] Zhang L, Zhang C B, Wang Y M, Liu X H, Wang G D. Chin J Mater Res, 2005; 26: 200 (张林, 张彩碚, 王元明, 刘相华, 王国栋. 材料研究学报, 2005; 26: 200) [66] He Y, Zhang LW, Niu J, Pei J B. Trans Mater Heat Treat, 2005; 26(4): 120 (何 燕, 张立文, 牛静, 裴继斌. 材料热处理学报, 2005; 26(4): 120) [67] Zhu M, Dong W P. Die Mould Technol, 2008; 6: 10 (朱 敏, 董万鹏. 模具技术, 2008; 6: 10) [68] Xiao H, Xu Y C, Yan Y H. Chin Mech Eng, 2005; 16: 2245 (肖宏, 徐玉辰, 闫艳红. 中国机械工程, 2005; 16: 2245) [69] Barkoczy P, Roosz A, Geiger J. Mater Sci Forum, 2003; 414: 359 [70] Zhi Y. PhD Thesis, Northeastern University, Shenyang, 2008 (支颖. 东北大学博士学位论文, 沈阳, 2008) [71] Aretz H, Luce R, Wolske M, Kopp R, Goerdeler M, Marx V, Pomana G, Gottstein G. Model Simul Mater Sci Eng, 2000; 8: 881 [72] Zheng C W, Xiao N M, Li D Z, Li Y Y. Comput Mater Sci, 2008; 44: 507 [73] Madej L, Hodgson P D, Pietrzyk M. Arch Comput Methods Eng, 2009; 16: 287 [74] Si L Y, Lu C, Huynh N N, Tieu A K, Liu X H. J Mater Process Technol, 2008; 201: 79 [75] Lu C, Si L Y, Zhu H T, Liu X H, Tiue A K. Trans Nonferrous Met Soc China, 2007; 17: 254 [76] Liu Q, Hansen N. Proc R Soc Lond, 1998; 454: 2255 [77] Li Z J, Godfrey A, Liu Q. Acta Mater, 2004; 52: 149 [78] Pi H C, Han J T, Xue Y D, Tieu A K, Jiang Z Y. J Mech Eng, 2006; 42(3): 15 (皮华春, 韩静涛, 薛永栋, Tieu A K, 姜正义. 机械工程学报, 2006; 42(3): 15) [79] Zheng C W, Lan Y J, Xiao N M, Li D Z, Li Y Y. Acta Metall Sin, 2006; 42: 474 (郑成武, 兰勇军, 肖纳敏, 李殿中, 李依依. 金属学报, 2006; 42: 474) [80] Wang N, Lei L P, Fang G, Zeng P. Rare Met, 2008; 32: 766 (王娜, 雷丽萍, 方刚, 曾攀. 稀有金属, 2008; 32: 766) [81] Zhao Z, Kuchnicki S, Radovitzky R, Cuilti˜no A. Acta Mater, 2007; 55: 2361 [82] Li H J, Han J T, Pi H C, Jiang Z Y,Wei D B, Tieu A K. J Univ Sci Technol Beijing, 2008; 15: 696 [83] Na D H, Lee Y. Int J Mod Phys, 2008; 22B: 5466 [84] Yu H L. PhD Thesis, Northeastern University. Shenyang,2008 (喻海良. 东北大学博士学位论文, 沈阳, 2008) [85] Tang J N, Tieu A K, Jiang Z Y. Mater Sci Forum, 2005; 505–507: 1291 [86] Yu H L, Liu X H, Li C S, Lan H F, Wang G D. J Mater Process Technol, 2009; 209: 2876 [87] Filipovic M, Eriksson C, Overstam H. Steel Res Int, 2006; 77: 439 [88] Ishikawa T, Yukawa N, Yoshida Y, Tonohata Y. J Iron Steel Inst Jpn, 2003; 89: 1142 [89] Yukawa N, Yoshida Y, Ishikawa T. J Iron Steel Inst Jpn, 2006; 92(11): 19 [90] Ervasti E, St°ahlberg U. J Mater Process Technol, 1999; 94: 141 [91] Ervasti E, St°ahlberg U. J Mater Process Technol, 2000; 101: 312 [92] Kim H Y, Kwon H C, Lee H W, Im Y T, Byon S M, Park H D. J Mater Process Technol, 2008; 205: 70 [93] Yu H L, Liu X H, Zhao X M, Wu D, Kusaba Y. J Iron Steel Res Int, 2006; 13: 26 [94] Yu H L, Bi H Y, Liu X H, Tu Y F. Trans Nonferrous Met Soc China, 2008; 18: 919 [95] Yu H L, Bi H Y, Liu X H, Chen L Q, Dong N N. J Mater Process Technol, 2009; 209: 4274 [96] Liu X H, Yu H L. J Iron Steel Res, 2009; 21(6): 70 (刘相华, 喻海良. 钢铁研究学报, 2009; 21(6): 70)
[1] CHEN Yuyong, YE Yuan, SUN Jianfei. Present Status for Rolling TiAl Alloy Sheet[J]. 金属学报, 2022, 58(8): 965-978.
[2] Chen GU, Ping YANG, Weimin MAO. The Influence of Rolling Process on the Microstructure, Texture and Magnetic Properties of Low Grades Non-Oriented Electrical Steel After Phase Transformation Annealing[J]. 金属学报, 2019, 55(2): 181-190.
[3] Jiangnan MA,Ruizhen WANG,Caifu YANG,Xiaoqin ZHA,Lijuan ZHANG. Effect of Surface Layer with Ultrafine Grains on Crack Arrestability of Heavy Plate[J]. 金属学报, 2017, 53(5): 549-558.
[4] SUN Chaofan CAI Qingwu WU Huibin MAO Hongyan CHEN Hongzhen. EFFECT OF CONTROLLED ROLLING PROCESSING ON NANOMETER–SIZED CARBONITRIDE OF Ti–Mo FERRITE MATRIX MICROALLOYED STEEL[J]. 金属学报, 2012, 48(12): 1415-1421.
No Suggested Reading articles found!