崔振楠等：DP590/DP780高强钢管液压成形的性能 241 tubes.J Mater Process Technol,2000,98(1):34 [13]Ge Y L,Li XX,Lang L H,et al.Optimized design of tube [5]Strano M,Altan T.An inverse energy approach to determine the hydroforming loading path using multi-objective differential flow stress of tubular materials for hydroforming applications. evolution.Int.J Ady Manuf Technol,2017,88(1-4):837 Mater Process Technol,2004,146(1):92 [14]Hashemi R,Madoliat R,Afshar A.Prediction of forming limit [6] Velasco R,Boudeau N.Tube bulging test:theoretical analysis and diagrams using the modified M-K method in hydroforming of numerical validation.J Mater Process Technol,2008,205(1-3): aluminum tubes.Int J Mater Form,2016,9(3):297 51 [15]Abdelkefi A,Guermazi N,Boudeau N,et al.Effect of the [7]Saboori M,Champliaud H,Gholipour J,et al.Evaluating the flow lubrication between the tube and the die on the comer filling when stress of aerospace alloys for tube hydroforming process by free hydroforming of different cross-sectional shapes.Int/Ady Manu expansion testing.Int J Ady Manuf Technol,2014,72(9-12):1275 Technol,2016,87(1-4):1169 [8]Cui X L.Wang X S.Yuan S J.Deformation analysis of double- [16]Li K,Yang L F,Wei J,et al.Design on a new type of tube impact sided tube hydroforming in square-section die.J Mater Process hydroforming equipment.Forg Sramp Techmol,2017,42(6):77 Technol,.2014,214(7):1341 (李坤，杨连发，魏军，等.新型管材冲击液压成形装置的设计 [9]He Z B,Yuan S J,Lin Y L,et al.Analytical model for tube hydro- 锻压技术，2017,42(6)：77) bulging test,part I:models for stress components and bulging zone [17]Lin Y L,He Z B,Chu G N,et al.A new method for directly profile.Int J Mech Sci,2014,87:297 testing the mechanical properties of anisotropic materials in bi- [10]He Z B,Yuan S J,Lin Y L,et al.Analytical model for tube hydro- axial stress state by tube bulging test.Acta Metall Sin,2017, bulging tests,part ll:linear model for pole thickness and its 53(9):1101 application.Int J Mech Sci,2014,87:307 (林艳丽，何祝斌，初冠南，等.利用管状试样测试各向异性材料 [11]Yang L F,Hu G L,Liu J W.Investigation of forming limit 双向应力状态力学性能的新方法.金属学报，2017,53(9)：1101） diagram for tube hydroforming considering effect of changing [18]Xie WC.Yuan S J.Bulging behavior of thin-walled welded low strain path.Int J Adv Manuf Technol,2015,79(5-8):793 carbon steel tubes./Mater Eng,2017,45(1):72 [12]Cheng PZ,Lang L H,Ge YL,et al.Tube free bulging experiment (谢文才，苑世剑.低碳钢薄壁焊管液压胀形行为.材料工程， with force-end and material properties testing.J Beijing Univ 2017,45(1):72） Aeron Astron,2015,41(4):686 [19]Yuan S J.Modern Hydroforming Technology.Beijing:National (程鹏志，郎利辉，葛宇龙，等.力约束管材自由胀形试验研究与 Defense Industry Press,2009 材料性能测试.北京航空航天大学学报，2015,41(4)：686) (苑世剑.现代液压成形技术.北京：国防工业出版社，2009)tubes. J Mater Process Technol, 2000, 98（1）: 34 Strano M, Altan T. An inverse energy approach to determine the flow  stress  of  tubular  materials  for  hydroforming  applications. J Mater Process Technol, 2004, 146（1）: 92 [5] Velasco R, Boudeau N. Tube bulging test: theoretical analysis and numerical  validation. J Mater Process Technol,  2008,  205（1-3）: 51 [6] Saboori M, Champliaud H, Gholipour J, et al. Evaluating the flow stress  of  aerospace  alloys  for  tube  hydroforming  process  by  free expansion testing. Int J Adv Manuf Technol, 2014, 72（9-12）: 1275 [7] Cui X L, Wang X S, Yuan S J. Deformation analysis of double￾sided  tube  hydroforming  in  square-section  die. J Mater Process Technol, 2014, 214（7）: 1341 [8] He Z B, Yuan S J, Lin Y L, et al. Analytical model for tube hydro￾bulging test, part I: models for stress components and bulging zone profile. Int J Mech Sci, 2014, 87: 297 [9] He Z B, Yuan S J, Lin Y L, et al. Analytical model for tube hydro￾bulging tests,  part   Ⅱ:  linear  model  for  pole  thickness  and  its application. Int J Mech Sci, 2014, 87: 307 [10] Yang  L  F,  Hu  G  L,  Liu  J  W.  Investigation  of  forming  limit diagram  for  tube  hydroforming  considering  effect  of  changing strain path. Int J Adv Manuf Technol, 2015, 79（5-8）: 793 [11] Cheng P Z, Lang L H, Ge Y L, et al. Tube free bulging experiment with  force-end  and  material  properties  testing. J Beijing Univ Aeron Astron, 2015, 41（4）: 686 （程鹏志, 郎利辉, 葛宇龙, 等. 力约束管材自由胀形试验研究与 材料性能测试. 北京航空航天大学学报, 2015, 41（4）：686 ） [12] Ge  Y  L,  Li  X  X,  Lang  L  H,  et  al.  Optimized  design  of  tube hydroforming  loading  path  using  multi-objective  differential evolution. Int J Adv Manuf Technol, 2017, 88（1-4）: 837 [13] Hashemi  R,  Madoliat  R,  Afshar  A.  Prediction  of  forming  limit diagrams  using  the  modified  M-K  method  in  hydroforming  of aluminum tubes. Int J Mater Form, 2016, 9（3）: 297 [14] Abdelkefi  A,  Guermazi  N,  Boudeau  N,  et  al.  Effect  of  the lubrication between the tube and the die on the corner filling when hydroforming of different cross-sectional shapes. Int J Adv Manuf Technol, 2016, 87（1-4）: 1169 [15] Li K, Yang L F, Wei J, et al. Design on a new type of tube impact hydroforming equipment. Forg Stamp Technol, 2017, 42（6）: 77 （李坤, 杨连发, 魏军, 等. 新型管材冲击液压成形装置的设计. 锻压技术, 2017, 42（6）：77 ） [16] Lin  Y  L,  He  Z  B,  Chu  G  N,  et  al.  A  new  method  for  directly testing  the  mechanical  properties  of  anisotropic  materials  in  bi￾axial  stress  state  by  tube  bulging  test. Acta Metall Sin,  2017, 53（9）: 1101 （林艳丽, 何祝斌, 初冠南, 等. 利用管状试样测试各向异性材料 双向应力状态力学性能的新方法. 金属学报, 2017, 53（9）：1101 ） [17] Xie W C, Yuan S J. Bulging behavior of thin-walled welded low carbon steel tubes. J Mater Eng, 2017, 45（1）: 72 （谢文才, 苑世剑. 低碳钢薄壁焊管液压胀形行为. 材料工程, 2017, 45（1）：72 ） [18] Yuan  S  J. Modern Hydroforming Technology.  Beijing:  National Defense Industry Press, 2009 （苑世剑. 现代液压成形技术. 北京: 国防工业出版社, 2009） [19] 崔振楠等： DP590/DP780 高强钢管液压成形的性能 · 241 ·