李博等：带钢平整轧制过程中板形缺陷的遗传和演变规律 237 B3]Zhang Y Q,He ZL,Zhang X N.Three-dimensional elastic-plas- formation on strip rolling processes.Chin Mech Eng,2004,40 tic FEM simulation for cold rolling of plate and strip.North Unir (9):75 China Nat Sci Ed,2009.30(4):390 (彭艳，刘宏民.带材轧制过程应力及变形的计算机仿真 (张雅琴，何宗霖，张雪娜.板带冷轧过程三维弹塑性有限元 机械工程学报，2004,40(9)：75) 模拟.中北大学学报：自然科学版，2009,30(4)：390) [11]Yao LL.Three-dimensional analysis of strip rolling in a large 4]Du FS.Finite element analysis of normal pressure distributions in production mill.J Unie Sci Technol Beijing,2003,25(1):57 temper rolling.J Plast Eng,2008,15(3)186 (姚林龙.大型工业轧机的三维板带轧制解析.北京科技大 (杜凤山.冷轧平整过程轧制压力分布非线性有限元研究.塑 学学报，2003,25(1)：57) 性工程学报，2008,15(3)：186) [12]Liu H M,Wang Y R.Stream surface strip element method for 5]Jiang Z Y,Tieu A K.A 3 finite element method analysis of simulation of the three dimensional deformations of plate and strip cold rolling of thin strip with friction variation.Tribol Int,2004, rolling.Chin J Mech Eng,2003.39 (7)94 37(2):185 (刘宏民，王英容.模拟板带轧制三维变形的流面条元法 6]Jiang Z Y,Tieu A K.A simulation of three-dimensional metal 机械工程学报，2003,39(7)：94) rolling processes by rigid-plastic finite element method.J Mater [13]Liu H M.Wang Y R,Jin D.Strip layer method for simulation of Process Technol,2001,112(1)144 the three-dimensional deformations of hot plate and strip rolling 7]Jiang Z Y,Tieu A K.Elastic-plastic finite element method simu- Metall Equip,2003(1):1 lation of thin strip with tension in cold rolling.J Mater Process (刘宏民，王英睿，金丹.模拟热轧板带三维变形的条层法 Technol,2002,130H31:511 及仿真实例.治金设备，2003(1)：1) [8]Liu X H.FEM analysis of rolling pressure along strip width in cold [14]Abdelkhalek S,Montmitonnet P,Legrand N,et al.Coupled ap- rolling process.J Iron Steel Res Int,2007,14(5):22 proach for flatness prediction in cold rolling of thin strip.IntJ 9]Ji Y H.Park JJ.Development of severe plastic deformation by Mech Sci,2011,53(9):661 various asymmetric rolling processes.Mater Sci Eng A,2009,499 [15]Gudur PP,Salunkhe M A,Dixit U S.A theoretical study on the (12):14 application of asymmetric rolling for the estimation of friction.Int [10]Peng Y,Liu H M.Computer simulation of the stresses and de- J Mech Sci,2008,50(2):315李 博等: 带钢平整轧制过程中板形缺陷的遗传和演变规律 ［3］ Zhang Y Q，He Z L，Zhang X N． Three-dimensional elastic-plas￾tic FEM simulation for cold rolling of plate and strip． J North Univ China Nat Sci Ed，2009，30( 4) : 390 ( 张雅琴，何宗霖，张雪娜． 板带冷轧过程三维弹塑性有限元 模拟． 中北大学学报: 自然科学版，2009，30( 4) : 390) ［4］ Du F S． Finite element analysis of normal pressure distributions in temper rolling． J Plast Eng，2008，15( 3) : 186 ( 杜凤山． 冷轧平整过程轧制压力分布非线性有限元研究． 塑 性工程学报，2008，15( 3) : 186) ［5］ Jiang Z Y，Tieu A K． A 3-D finite element method analysis of cold rolling of thin strip with friction variation． Tribol Int，2004， 37( 2) : 185 ［6］ Jiang Z Y，Tieu A K． A simulation of three-dimensional metal rolling processes by rigid-plastic finite element method． J Mater Process Technol，2001，112( 1) : 144 ［7］ Jiang Z Y，Tieu A K． Elastic-plastic finite element method simu￾lation of thin strip with tension in cold rolling． J Mater Process Technol，2002，130-131: 511 ［8］ Liu X H． FEM analysis of rolling pressure along strip width in cold rolling process． J Iron Steel Ｒes Int，2007，14( 5) : 22 ［9］ Ji Y H，Park J J． Development of severe plastic deformation by various asymmetric rolling processes． Mater Sci Eng A，2009，499 ( 1-2) : 14 ［10］ Peng Y，Liu H M． Computer simulation of the stresses and de￾formation on strip rolling processes． Chin J Mech Eng，2004，40 ( 9) : 75 ( 彭艳，刘宏民． 带材轧制过程应力及变形的计算机仿真． 机械工程学报，2004，40( 9) : 75) ［11］ Yao L L． Three-dimensional analysis of strip rolling in a large production mill． J Univ Sci Technol Beijing，2003，25( 1) : 57 ( 姚林龙． 大型工业轧机的三维板带轧制解析． 北京科技大 学学报，2003，25( 1) : 57) ［12］ Liu H M，Wang Y Ｒ． Stream surface strip element method for simulation of the three dimensional deformations of plate and strip rolling． Chin J Mech Eng，2003，39( 7) : 94 ( 刘宏民，王英睿． 模拟板带轧制三维变形的流面条元法． 机械工程学报，2003，39( 7) : 94) ［13］ Liu H M，Wang Y Ｒ，Jin D． Strip layer method for simulation of the three- dimensional deformations of hot plate and strip rolling． Metall Equip，2003( 1) : 1 ( 刘宏民，王英睿，金丹． 模拟热轧板带三维变形的条层法 及仿真实例． 冶金设备，2003( 1) : 1) ［14］ Abdelkhalek S，Montmitonnet P，Legrand N，et al． Coupled ap￾proach for flatness prediction in cold rolling of thin strip． Int J Mech Sci，2011，53( 9) : 661 ［15］ Gudur P P，Salunkhe M A，Dixit U S． A theoretical study on the application of asymmetric rolling for the estimation of friction． Int J Mech Sci，2008，50( 2) : 315 · 732 ·