论文

板坯连铸结晶器内钢凝固过程热行为研究 I. 数学模型

  • 蔡兆镇 ,
  • 朱苗勇
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  • 东北大学材料与冶金学院, 沈阳 110004
蔡兆镇, 男, 1982年生, 博士生

收稿日期: 2010-12-09

  修回日期: 2011-03-29

  网络出版日期: 2011-06-11

基金资助

国家杰出青年科学基金项目50925415和教育部基本科研业务费项目N100102001资助

SIMULATION OF THERMAL BEHAVIOR DURING STEEL SOLIDIFICATION IN SLAB CONTINUOUS CASTING MOLD I. Mathematical Model

  • SA Zhao-Tian ,
  • ZHU Miao-Yong
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  • School of Materials and Metallurgy, Northeastern University, Shenyang 110004

Received date: 2010-12-09

  Revised date: 2011-03-29

  Online published: 2011-06-11

Supported by

Supported by National Outstanding Young Scientist Foundation of China (No.50925415) and Fundamental Research Funds for the Central University of China (No.N100102001)

摘要

建立了伴随δ/γ相变的钢凝固过程两相区溶质微观偏析模型,以其所确立的钢凝固过程各相分数与温度之间的关系获得钢的高温物性参数,并根据连铸坯在结晶器内凝固收缩量与结晶器内表面的位移关系、保护渣的液/固状态及厚度分布、铸坯表面和铜板热面的温度分布以及气隙的动态变化等建立了描述坯壳--铜板界面热流的数学模型. 在此基础上, 运用率相关本构模型,采用顺序耦合法建立了描述板坯连铸结晶器内钢凝固过程热行为的二维瞬态热/力耦合有限元分析模型.

本文引用格式

蔡兆镇 , 朱苗勇 . 板坯连铸结晶器内钢凝固过程热行为研究 I. 数学模型[J]. 金属学报, 2011 , 47(6) : 671 -677 . DOI: 10.3724/SP.J.1037.2010.00663

Abstract

Thermal behavior of the solidifying shell in continuous casting mold is very important to final steel products. In the present work, one two–dimension transient thermal–mechanical coupling finite element model was developed to simulate the thermal behavior of steel solidifying in slab continuous casting mold by using the sequential coupling method. In this model, in order to get the physical properties of steel at high temperature, a microsegregation model which would give the relationship of phase fractions and temperature for acquiring the physical properties with δ/γ  transformation in mushy zone was established. And the heat flux was obtained according to the displacement between the surface of solidifying shell and the hot face of mold as solidification contraction, the liquid/solid structure and distribution of mold flux, the temperature distribution of slab surface and mold hot face, and air gap distribution. In addition, the rate–dependent elastic–viscoplastic constitutive equation was applied to account for the evolution of shell stress in the mold.

参考文献

[1] Jing D J, Cai K K. Acta Metall Sin, 2000; 36: 403

(荆德君, 蔡开科. 金属学报, 2000; 36: 403)

[2] Jing D J, Cai K K. J Univ Sci Technol Beijing, 2000; 22: 417

(荆德君, 蔡开科. 北京科技大学学报, 2000; 22: 417)

[3] Wang E G, He J C. Sci Technol Adv Mater, 2001; 2: 257

[4] Savage J, Prichard W H. J Iron and Steel Inst, 1954; 178: 91

[5] Han H N, Lee J E, Yeo T, Won Y M, Kim K H, Oh K H, Yoon J K. ISIJ Int, 1999; 39: 445

[6] Kim K, Han H N, Yeo T, Lee Y, Oh K H, Lee D N. Ironmaking Steelmaking, 1997; 24: 249

[7] Li C S, Thomas B G. Metall Trans, 2004; 35B: 1151

[8] Meng Y, Li C S, Parkman J, Thomas B G. In: Rappaz M ed., Solidification Processes and Microstructures, Charlotte: TMS, 2004: 33

[9] Stone D T, Thomas B G. Can Metall Q, 1999; 38: 363

[10] Ueshima Y, Mioguchi S, Matsumiya T, Kajioka H. Metall Trans, 1986; 17B: 945

[11] EL–Bealy M, Thomas B G. Metall Trans, 1996; 27B: 689

[12] Kawawa T. Tekko–Binran (Handbook for Steel). 3rd Ed. Tokyo: ISIJ, 1981: 205

[13] Nakada H, Susa M, Seko Y, Hayashi M, Nagata K. ISIJ Int, 2008; 48: 446

[14] Watanabe K, Suzuki M, Murakami K, Kondo H, Miyamoto A, Shiomi T. Tetsu Hagan´e, 1997; 83: 115

(渡边圭旧, 铃木真, 村上腾彦, 近藤裕计, 宫本明,yun见刚温,铁と钢, 1997; 83: 115)

[15] Saraswat R, Maijer D M, Lee P D, Mills K C. ISIJ Int, 2007; 47: 95

[16] Tsutsumi K, Nagasaka T, Hino M. ISIJ Int, 1999; 39: 1150

[17] Cho J W, Shibata H, Emi T. ISIJ Int, 1998; 38: 440

[18] Shibata H, Kondo K, Suzuki M, Emi T. ISIJ Int, 1996; 36(Suppl.): S179

[19] Yamauchi A, SorimachK, SakuryT, Fujii T. Tetsun Hagan´e, 1993; 79: 167

(山内章, 反町健一, sui谷敏和, 藤井彻也. 铁と钢; 1993, 79: 167)

[20] Cho J W, Emi T, Shibata H, Suzuki M. ISIJ Int, 1998;38: 834

[21] Xu S L. Algorithm Commonly Used Procedures Set (C Description Language). 3rd Ed, Beijing: Tsinghua University press, 2004: 188

(徐士良. 常用算法程序集(C语言描述)(第三版), 北京: 清华大学出版社,2004: 188)

[22] Yamauchi A, Emi T, Seetharaman S. ISIJ Int, 2002; 42: 1084

[23] Anand L. Trans ASME, 1982; 104: 12

[24] Brown S B, Kim K H, AnanL. Int J Plast, 1989; 5: 95

[25] Clyne T W, Wolf M, Kurz W. Metall Trans, 1982; 13B: 259

[26] Davies G J, Shin Y K. Solidification Technology in the Foundry and Cast House. London: The Metal Society, 1979: 517

[27] Kim K, Yeo T, Oh K H, Lee D N. ISIJ Int, 1996; 36: 284

[28] Matsumiya T, Saeki T, Tanaka J, Ariyoshi T. Tetsu Hagan´e, 1982; 68: 1782

(松宫彻, 佐伯毅,田中純, 有吉敏彦. 铁と钢, 1982, 68: 1782)
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