精密极薄带轧制理论研究进展及展望

doi:10.3901/JME.2020.12.073

机械工程学报 ›› 2020, Vol. 56 ›› Issue (12): 73-84.doi: 10.3901/JME.2020.12.073

扫码分享

精密极薄带轧制理论研究进展及展望

任忠凯^1,2,3, 郭雄伟^1,2,3, 范婉婉^1,2,3, 王涛^1,2,3, 熊晓燕^1,2

1. 太原理工大学先进金属复合材料成形技术与装备教育部工程研究中心太原 030024;
2. 太原理工大学机械与运载工程学院太原 030024;
3. 太原理工大学中澳联合研究中心太原 030024

收稿日期:2019-10-18 修回日期:2020-02-18 出版日期:2020-06-20 发布日期:2020-07-14
通讯作者: 王涛(通信作者),男,1985年出生,博士,副教授,硕士研究生导师。主要研究方向为轧制工艺及设备、金属层状复合板轧制复合机理。E-mail:tyutwt@163.com
作者简介:任忠凯,男,1988年出生,博士,讲师。主要研究方向为精密极薄带板形控制理论。E-mail:zhongkai_0808@126.com
基金资助:
国家自然科学基金（51974196）、中国博士后科学基金（2019M651074）、山西省科技重大专项（20181102015）、太原市科技重大专项（170203）和山西省高等学校科技创新（2019L0155）资助项目。

Research Progress and Prospects of Precision Ultra-thin Strip Rolling Theory

REN Zhongkai^1,2,3, GUO Xiongwei^1,2,3, FAN Wanwan^1,2,3, WANG Tao^1,2,3, XIONG Xiaoyan^1,2

1. Engineering Research Center of Advanced Metal Composites Forming Technology and Equipment of Ministry of Education, Taiyuan University of Technology, Taiyuan 030024;
2. College of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024;
3. TYUT-UOW Joint Research Centre, Taiyuan University of Technology, Taiyuan 030024

Received:2019-10-18 Revised:2020-02-18 Online:2020-06-20 Published:2020-07-14

摘要/Abstract

摘要： 精密极薄带具备优异的精度、耐蚀性、表面光洁度等性能。随着微制造、微电子等高技术领域的快速发展，对极薄带的综合性能提出了更苛刻的要求，但是极薄带轧制生产中仍然存在成材率低、残余应力大、局部泡泡浪等问题。为了进一步推动人们对极薄带生产的深入研究，促进精密极薄带轧制理论的发展，主要综述极薄带轧制力理论、最小可轧厚度理论、极薄带塑性变形理论、辊系弹性变形理论的研究进展及存在的问题。针对上述综述进行分析，发现传统的最小可轧厚度理论存在明显的局限性，导致理论分析结果与试验结果误差比较大；极薄带轧制过程中经常会出现辊端压靠现象，但传统压扁计算理论在轧辊端部计算误差比较大。针对上述问题，建立适用于极薄带轧制的条件最小可轧厚度理论和考虑辊端压靠的板形控制模型。但是极薄带轧制过程中出现的一些特殊科学难题，无法利用传统理论进行解释，因此展望其未来的研究趋势——从微/介观尺度分析精密极薄带轧制过程中变形机理与微观结构特性。

关键词: 精密极薄带, 轧制力模型, 最小可轧厚度理论, 辊系弹性变形理论, 微/介观尺度

Abstract: Precision ultra-thin strip has excellent precision, corrosion resistance, surface finish, and other properties. With the rapid development of micro-manufacturing, micro-electronics and other high technology fields, the comprehensive performance of precision ultra-thin strip has been put forward more stringent requirements, but there are still problems in the rolling production of the ultra-thin strip, such as low yield, large residual stress, local bubble wave and so on. In order to further promote the in-depth research on the production of ultra-thin strip and promote the development of ultra-thin strip rolling theory, the research progress and existing problems of the rolling force theory, the minimum rolling thickness theory, the plastic deformation theory of ultra-thin strip and the elastic deformation theory of roll system are mainly summarized. Based on the above analysis, it is found that the traditional theory of the minimum rolling thickness has obvious limitations, which results in a large error between theoretical analysis results and experimental results; phenomenon of the work roll edge contact often occurs in the ultra-thin strip rolling process, but the conventional flattening calculation theory has a large calculation error at the end of the roll. In view of the above problems, a new formula for the conditional limiting producible thickness considering the restriction of the rolling force and a plate profile control model considering the work roll edge contact is derived. However, the ultra-thin strip with some special scientific problems in the process of rolling cannot be explained by traditional theory. Therefore, the future research trend of ultra-thin strip rolling is prospected, which is to analyze the deformation mechanism and microstructure characteristics from micro/mesoscopic scale

Key words: precision ultra-thin strip, rolling force model, the limiting producible thickness theory, roll elastic deformation theory, micro/mesoscopic scale

中图分类号:

TG113

任忠凯, 郭雄伟, 范婉婉, 王涛, 熊晓燕. 精密极薄带轧制理论研究进展及展望[J]. 机械工程学报, 2020, 56(12): 73-84.

REN Zhongkai, GUO Xiongwei, FAN Wanwan, WANG Tao, XIONG Xiaoyan. Research Progress and Prospects of Precision Ultra-thin Strip Rolling Theory[J]. Journal of Mechanical Engineering, 2020, 56(12): 73-84.

参考文献

[1] 刘相华,宋孟,孙祥坤,等. 极薄带轧制研究与应用进展[J]. 机械工程学报,2017,53(10):1-9. LIU Xianghua,SONG Meng,SUN Xiangkun,et al. Advances in research and application of foil rolling[J]. Journal of Mechanical Engineering,2017,53(10):1-9.
[2] MISHRA M K,DUBEY V,MISHRA P M,et al. MEMS technology:A review[J]. Journal of Engineering Research and Reports,2019,4(1):1-24.
[3] FU M,WANG J,KORSUNSKY A M. A review of geometrical and microstructural size effects in micro-scale deformation processing of metallic alloy components[J]. International Journal of Machine Tools & Manufacture,2016,109:94-125.
[4] ROBERTS W L. Cold rolling of steel[M]. New York:Marcel Dekker Inc,1978.
[5] 潘纯久. 二十辊轧机及高精度冷轧钢带生产[M]. 北京:冶金工业出版社,2003. PAN Chunjiu.Twenty-high rolling mill and high-precision cold-rolled steel strip production[M]. Beijing:Metallurgical Industry Press,2003.
[6] SENDZIMIR M G. The Sendzimir cold strip mill[J]. J-ournal of Metals,1956,8(9):1154-1158.
[7] KARMAN T V. On the theory of rolling[J]. ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik,1925,5:139-141.
[8] OROWAN E,ING D. The Calculation of roll pressure in hot and cold flat rolling[J]. Proceedings Institute of Mechanical Engineering,1943,150(4):140-167.
[9] HITCHCOCK J H. Report of ASME special research committee roll neck bearings[R]. New York:ASME Research Publictions,1935.
[10] FORD H,ELLIS F,BLAND D R. Cold rolling with strip tension[J]. Journal of the Iron and Steel Institute,1951,168(1):57-72.
[11] STONE M D. Rolling of thin strip partⅡ[J]. Iron and Steel Engineer,1956,33(12):55-76.
[12] JORTNER D,OSTERLE J F,ZOROWSKI C F. An analysis of cold strip rolling[J]. International Journal of Mechanical Sciences,1960,2(3):179-194.
[13] JOHNSON K L,BENTALL R H. The onset of yield in the cold rolling of thin strip[J]. Journal of the Mechanics and Physics of Solids,1969,17(4):253-264.
[14] FLECK N A,JOHNSON K L. Towards a new theory of cold rolling thin foil[J]. International Journal of Mechanical Sciences,1987,29(7):507-524.
[15] FLECK N A,JOHNSON K L,MEAR M E. Cold rolling of foil[J]. Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,1992,206(2):119-131.
[16] LANGLANDS T A M,MCELWAIN D L S. A modifed Hertzian foil rolling model approximations based on perturbation methods[J]. International Journal of Mechanical Sciences,2002,44(8):1715-1730.
[17] LANGLANDS T A M,MCELWAIN D L S,DOMANTI S A. An approximate method for the solution of an influence function foil rolling model[J]. International Journal of Mechanical Sciences,2004,46(8):1139-1156.
[18] LE H R,SUTCLIFFE M P F. A robust model for rolling of thin strip and foil[J]. International Journal of Mechanical Sciences,2001,43(6):1405-1419.
[19] LIU Y,LEE W H. Mathematical model for the thin strip cold rolling and temper rolling process with the influence function met-hod[J]. ISIJ International,2005,45(8):1173-1178.
[20] REN Z,XIAO H,LIU X,et al. Experimental and theo-retic-cal analysis of roll flattening in the deformation zone for ultra-thin strip rolling[J]. Ironmaking & Steelmaking,2018,45(9):805-812.
[21] DBOUK T,MONTMITONNET P,LEGRAND N. Two-dimensional roll bite model with lubrication for cold strip rolling[J]. Advanced Materials Research,2014,966-967:48-62.
[22] LEE S H,LEE K H,KO D C,et al. Development of three-dimensional strip profile model for thin-foil cold rolling[J]. Advances in Mechanical Engineering,2014,6:1-13.
[23] YANG L,JIANG Z,ZHANG Y,et al. High precision recognition and adjustment of complicated shape details in fine cold rolling process of ultra-thin wide strip[J]. Journal of Manufacturing Processes,2018,35:508-516.
[24] FENG Y,LIU W,YANG T,et al. Theoretical and experimental analysis of the deformation zone and mini-mum thickness in single -roll-driven asymmetric ultrathin strip rolling[J]. The International Journal of Advanced Manufacturing Technology,2019,104(5-8):2925-2937.
[25] STONE M D. Rolling of thin strip[J]. Iron and Steel Engineer,1953,30(2):61-74.
[26] FORD H,ALEXANDER J M. Rolling hard materials in thin gauges basic consideration[J]. Journal of the Institute of Metals,1960,88(5):193-199.
[27] 连家创. 冷轧薄板轧制压力和极限最小厚度的计算(Ⅱ)[J]. 重型机械,1979(2):20-37. LIAN Jiachuang. Calculation of rolling pressure and ultimate minimum thickness of cold rolled sheet-(Ⅱ)[J]. Heavy Machine,1979(2):20-37.
[28] TANG D,LIU X,SONG M,et al. Experimental and theoretical study on minimum achievable foil thickness during asymmetric rolling[J]. Plos One,2014,9(9):1-12.
[29] PAWELSKI O,KADING G. Causes of the limiting degree of deformations in the cold rolling of thin strip[J]. Arch. Eisenhuttenwesen,1970,41(3):249-254.
[30] 朱泉,于九明,齐克敏. 冷轧薄板时的延伸困难问题与适轧厚度[J]. 东北工学院学报,1988,57(4):27-33. ZHU Quan,YU Jiuming,QI Keming. Problem of redueibility in sheet cold rolling and gauge suitable to roll[J]. Journal of Northeastern Institute of Technology,1988,57(4):27-33.
[31] 吴首民. 极薄带钢轧制过程中最小可轧厚度的研究[J]. 中国冶金,2007,17(3):10-12. WU Shoumin. Research of smallest permissive-rolling thickness during strip rolling[J]. China Metallurgy,2007,17(3):10-12.
[32] TATENO J,HIRUTA T,KATSURA S,et al. Experim-ental analysis of thickness reduction limits in ultra-thin stainless steel foil rolling[J]. ISIJ International,2011,51(5):788-792.
[33] XIAO H,REN Z,LIU X. New mechanism describing the limiting producible thickness in ultra-thin strip rolling[J]. International Journal of Mechanical Sciences,2017,133:788-793.
[34] SHOHET K N,TOWNSEND N A. Roll bending methods of crown control in four-high plate mills[J]. Journal of the Iron and Steel Institute,1968,206(11):1088-1098.
[35] EDWARDS W J,SPOONER P D. Analysis of strip shape,automation of tandem mills[C]//Presented at the Metals Society,London,1973:176-212
[36] ROARK R J. Formulas for stress and strain[J]. Journal of Applied Mechanics,1989,43(3):624.
[37] TOZAWA Y,UEDA M. Analysis to obtain the pressure and distribution from the contour of deformed roll[J]. Journal of the Japan Society for Technology of Plasticity. 1970,11(108):29-37.
[38] YUAN Z,XIAO H,XIE H. Practice of improving roll deformation theory in strip rolling process based on boundary integral equation method[J]. Metallurgical and Materials Transactions A,2014,45(2):1019-1026.
[39] XIAO H,YUAN Z,WANG T. Roll flattening analytical model in flat rolling by boundary integral equation method[J]. Journal of Iron and Steel Research,International,2013,20(10):39-45.
[40] 员征文,肖宏,谢红飙. 基于边界积分方程法的六辊轧机辊系变形分析[J]. 机械工程学报,2013,49(18):125-131. YUAN Zhengwen,XIAO Hong,XIE Hongbiao. 6-Hi mill deformation analysis based on boundary integral equation method[J]. Journal of Mechanical Engineering,2013,49(18):125-131.
[41] JIANG Z,TIEU A K. Contact mechanics and work roll wear in cold rolling of thin strip[J]. Wear,2007,263(7-12):1447-1453.
[42] JIANG Z,ZHU H,TIEU A K. Modelling of work roll edge contact in thin strip rolling[J]. Journal of Materials Processing Technology,2004,155-156(30):1280-1285.
[43] 白振华,蒋岳峰,等. 极薄带钢平整轧制过程辊端压靠问题[J]. 机械工程学报,2006,42(8):224-228. BAI Zhenhua,JIANG Yuefeng,et al. Kiss between roller ends in skin rolling process of super thin strip[J]. Chinese Journal of Mechanical Engineering,2006,42(8):224-228.
[44] 戴杰涛,张清东,黄河. 薄带钢轧制过程中工作辊辊端压靠研究[J]. 钢铁,2010,45(7):57-61. DAI Jiangtao,ZHANG Qindong,HUANG He. Study on roll end forced-contract in rolling process of thin strip[J]. Iron and Steel,2010,45(7):57-61.
[45] 任忠凯,员征文,肖宏,等. 四辊轧机工作辊辊端压靠板形控制模型[J]. 燕山大学学报,2016,40(1):39-44. REN Zhongkai,YUAN Zhengwen,XIAO Hong,et al.Plate shape control of work roll edge contact for 4 high mill[J]. Journal of Yanshan University,2016,40(1):39-44.
[46] 管健龙,何安瑞,孙文权. 薄铝带轧制工作辊边部接触的建模与仿真[J]. 东北大学学报,2015,36(7):942-946. GUANG Jianlong,HE Anrui,SUN Wenquan. Modeling and simulation of thin aluminum cold rolling with work roll edge contact[J]. Journal of Northeastern University,2015,36(7):942-946.
[47] YANG L,YU H,LI R,et al. Detection and evaluation mechanism of cold rolling strip edge shape[J]. Ironmaking & Steelmaking,2018,45(5):457-468.
[48] YANG L,JIANG Z,ZHANG Y,et al. High precision recognition and adjustment of complicated shape details in fine cold rolling process of ultra-thin wide strip[J]. Journal of Manufacturing Processes,2018,35:508-516.
[49] REN Z,XIAO H,WANG T. Plate profile control during ultra-thin strip rolling utilizing work roll edge contact[J]. Journal of the Brazilian Society of Mechanical Sciences and Engineering,2019,41(1):28-35.
[50] WANG D,LIU H,LIU J. Research and development trend of shape control for cold rolling strip[J]. Chinese Journal of Mechanical Engineering,2017,30(5):1248-1261.
[51] WANG D,LIU H. A model coupling method for shape prediction[J]. Journal of Iron and Steel Research International,2012,19(2):22-27.
[52] SHIN J,HAN S,KIM J. Development and experimental evaluation of strip shape prediction model for Sendzimir rolling mills[J]. Journal of Iron and Steel Research International,2013,20(12):25-32.
[53] 员征文,任忠凯,肖宏,等. 二十辊轧机轧制极薄带的板形控制[J]. 中南大学学报,2017(4):860-866. YUAN Zhengwen,REN Zhongkai,XIAO Hong,et al. Plate shape control of ultra thin strip rolling for 20-high mill[J]. Journal of Central South University,2017(4):860-866.
[54] 柳本左門,青木至. 圧延加工にぉけゐ平均圧延圧力を与元ゐ関係式にっぃて[J]. 日本機械学会論文集,1967,33(249):826-831. YANAGIMOTO Samon,AOKI Itaru. For rolling,calculate the average rolling pressure according to the relational expression.[J]. Transactions of the Japan Society of Mechanical Engineers,1967,33(249):826-831.
[55] TROOST A. Zur elementarn plastizittmts theorie rtmumlicher umformvor-gtmnge[J]. Archiv für das EisenhüttenWesen,1964,35(9):847. TROOST. To the elemencary plasticity theory of spatial forming processes[J]. Archive for the ironwork,1964,35(9):847.
[56] 户澤康寿,中村雅勇,石川孝司. 三次元解析の方法と計算例[J]. 塑性と加工,1976,17(180):37-44. YASUTOSHI Serizawa,MASAYASU Nakamura,TAKASHI Ishikawa. 3D analysis methods and calculation examples[J]. Plasticity and Processing,1976,17(180):37-44.
[57] 石川孝司,中村雅勇,戸澤康寿. ロールの変形を考慮した薄板圧延の3次元解析[J]. 塑性と加工,1980,21(237):902-908. TAKASHI Ishikawa,MASAYASU Nakamura,YASUTOSHI Tozawa. Three-dimensional analysis of sheet rolling considering roll deformation[J]. Plasticity and Processing,1980,21(237):902-908.
[58] 戸澤康寿,石川孝司,岩田德利. 薄板圧延の3次元変形に对ぉゐ改良た解析[J]. 塑性と加工,1982,23(263):1181-1187. TOSAWA Yasuhisa,ISHIKAWA Takashi,IWATA Yuri. Improved analysis for 3D deformation of sheet rolling[J]. Plasticity and Processing,1982,23(263):1181-1187.
[59] 连家创,段振勇,叶星. 三维解析法求解辊缝中金属横向流动问题[J]. 东北重型机械学院学报. 1984,8(3):1-9. LIAN Jiachuang,DUAN Zhenyong,YE Xin. Three-dimensional analytical method for solving lateral flow of metal in roll gap[J]. Journal of Northeast Heavy Machinery Institute,1984,8(3):1-9.
[60] DIXON A,YUEN W. A physical based method to predict spread and shape during flat rolling for real-time application[J]. Steel Research International,2008,79(4):287-296.
[61] WANG X,YANG Q,JIANG Z,et al. Research on the improvement effect of high tension on flatness deviation in cold strip rolling[J]. Steel Research. 2014,85(11):1560-1570.
[62] HWANG Y M,KAN C C. Roll shape design for foil rolling of a four-high mill[J]. The International Journal of Advanced Manu-facturing Technology,2017,91(5-8):1587-1597.
[63] TARNOVSKII. Deformation of metal during rolling[M]. Berlin:Pergamon Press,2013.
[64] OH S,KOBAYASHI S. An approximate method for a three-dimensional analysis of rolling[J]. International Journal of Mechanical Sciences,1975,17(4):293-305.
[65] JOHNSON R. Shape forming and lateral spread in sheet rolling[J]. International Journal of Mechanical Sciences,1991,33(6):449-469.
[66] LEE D,LEE K,LEE J. A new model for the prediction of width spread in roughing mills[J]. Journal of Manufacturing Science and Engineering,2014,136(5):0510141-0510149.
[67] LIAN J. Analysis of profile and shape control in flat rolling[C]//Proceeding of the First International Confer-ence on Steel Rolling Tokyo,Japan,1980:713-724.
[68] 连家创. 变分法求解辊缝中金属横向流动问题[J]. 东北重型机械学院学报,1980,4(1):1-10. LIAN Jiachuang. Variational method for solving lateral flow of metal in roll gap[J]. Journal of Northeast Heavy Machinery Institute,1980,4(1):1-10.
[69] REN Z,XIAO H,LIU X,et al. An analysis of the metal transverse flow in the roll gap for ultra-thin strip rolling using the energy method[J]. ISIJ International. 2018,58(2):309-315.
[70] REN Z,WANG T,FAN W. Establishment of the tension stress model considering metal lateral flow for foil rolling[J]. Meccanica,2019,54(1-2):261-270.
[71] 王国栋. 板形与板凸度控制[M]. 北京:化学工业出版社,2016. WANG Guodong. Plate shape and plate crown control[M]. Beijing:Chemical Industry Press,2016.
[72] LIU C,HARTLEY P,STURGESS C E N,et al. Elastic-plastic finite-element modelling of cold rolling of strip[J]. International Journal of Mechanical Sciences,1985,27(7-8):531-541.
[73] GRATACOS P,MONTMITONNET P,FROMHOLZ C,et al. A Plane-strain elastoplastic finite-element model for cold rolling of thin strip[J]. International Journal of Mechanical Sciences,1992,34(3):195-210.
[74] FURUMOTO H,YAMADA K,YANAGIMOTO J. Effect of the number of work-roll surface division on prediction of contact length in coupled analysis of roll and strip deformation during sheet rolling[J]. ISIJ International,2002,42(7):736-743.
[75] NAKHOUL R,MONTMITONNET P,LEGRAND N. Manifested flatness defect prediction in cold rolling of thin strips[J]. International Journal of Material Forming,2015,8(2):283-292.
[76] REN Z,XIAO H,XIE H,et al. Influence of lateral displacement on strip shape during cold rolling[J]. Journal of Iron and Steel Research International,2018,25(9):892-900.
[77] LIU M,NAMBU S,KOSEKI T,et al. Three-dimensional quanti-fication of texture heterogeneity in single-crystal aluminium subjected to equal channel angular pressing[J]. Philosophical Magazine,2017,97(11):799-819.
[78] REN Z,FAN W,HOU J,et al. A numerical study of slip system evolution in ultra-thin stainless steel Foil[J]. Materials,2019,12(11):1819.
[79] JIGH B H G,FARSI M A,TOUDESHKY H H. Prediction of the stress-strain behavior of open-cell aluminum foam under compre-ssive loading and the effects of various RVE boundary conditions[J]. Journal of Materials Engineering and Performance,2018,27(5):2576-2585.
[80] YE W,EFTHYMIADIS P,PINNA C,et al. Experimental and modelling study of fatigue crack initiation in an aluminium beam with a hole under 4-point bending[J]. International Journal of Solids and Structures,2018,138:87-96.
[81] DAMING N,ZHEN L,KAIFENG Z. Grain size effect of commercial pure titanium foils on mechanical properties,fracture behaviors and constitutive models[J]. Journal of Materials Engineering and Perfor-mance,2017,26(3):1283-1292.
[82] CHEN Y,KRAFT O,WALTER M. Size effects in thin coarse-grained gold microwires under tensile and torsional loading[J]. Acta Materialia,2015,87:78-85.
[83] MA X,ZHAO J,DU W,et al. An analysis of ridging of ferritic stainless steel 430[J]. Materials Science and Engineering:A,2017,685:358-366.
[84] QU F,JIANG Z,LU H. Effect of mesh on springback in 3D finite element analysis of flexible microrolling[J]. Journal of Applied Mathematics,2015,2015:1-8.
[85] QU F,JIANG Z,LU H. Analysis of micro flexible rolling with consideration of material heterogeneity[J]. International Journal of Mechanical Sciences,2016,105:182-190.
[86] QU F,JIANG Z,WEI D,et al. Study of micro flexible rolling based on grained inhomogeneity[J]. International Journal of Mechanical Sciences,2017,123:324-339.
[87] QU F,JIANG Z,XIA W. Evaluation and optimisation of micro flexible rolling process parameters by orthogonal trial design[J]. International Journal of Advanced Manufacturing Technology,2018,95(1-4):143-156.
[88] HUO M,ZHAO J,XIE H,et al. Microstructure and mechanical properties of thin varying thickness strips with different transition zones produced by micro flexible rolling[J]. Proceedings of the Institution of Mechanical Engineers,Part B:Journal of Engineering Manufacture,2019,233(9):1954-1967.
[89] HUO M,ZHAO J,XIE H,et al. Effects of micro flexible rolling and annealing on microstructure,microhardness and texture of aluminium alloy[J]. Materials Characte-rization,2019,148:142-155.
[90] ZHAO J,HUO M,MA X,et al. Study on edge cracking of copper foils in micro rolling[J]. Materials Science and Engineering:A,2019,747:53-62.
[91] CHEN S,LIU X,LIU L. Symmetric and asymmetric rolling pure copper foil:crystal plasticity finite element simulation and experi-ments[J]. Acta Metallurgica Sinica (English Letters),2015,25:1024-1033.
[92] 陈守东,刘相华,刘立忠,等. Cu极薄带轧制中滑移与变形的晶体塑性有限元模拟[J]. 金属学报,2016,52(1):120-128. CHEN Shoudong,LIU Xianghua,LIU Lizhong,et al. Crystal plasticity finite element simulation of slip and deformation in ultrathin copper strip rolling[J]. Acta Metallurgica Sinica,2016,52(1):120-128.
[93] CHEN S,LIU X,LIU L. Effects of grain size and heterogeneity on the mechanical behavior of foil rolling[J]. International Journal of Mechanical Sciences,2015,100:226-236.
[94] CHEN S,LIU X,LIU L. Grain statistics effect on deformation behavior in asymmetric rolling of pure copper foil by crystal plasticity finite element model[J]. Transactions of Nonferrous Metals Society of China,2015,25(10):3370-3380.
[95] CHEN J,HU X,LIU X. Softening effect on fracture stress of pure copper processed by asynchronous foil Rolling[J]. Materials,2019,12(14):2319.

精密极薄带轧制理论研究进展及展望

Research Progress and Prospects of Precision Ultra-thin Strip Rolling Theory

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

编辑推荐

Metrics

本文评价