一种韧性断裂准则中材料常数的计算模型及其应用

doi:10.7527/S1000-6893.2014.0054

Abstract

Abstract:

To determine material constants of ductile fracture criteria which are in accord with sheet deforming regularity, based on the theoretical framework of the conventional M-K model and some reasonable modification, a new computational model is derived by combining data of uniaxial tension with that of plane strain tests. Through compiling the algorithm program in MATLAB, material constants of various ductile fracture criteria are determined by using data of aluminium magnesium alloy 5A06-O sheet. The C&L ductile fracture criterion is written into the subroutine VUMAT which is embedded in Abaqus/Explicit. Then, numerical simulations of aluminium magnesium alloy 5A06-O sheet warm hydrobulging and hydroforming are conducted at 200℃. Compared with the experimental results with the same processing parameter, the errors of warm hydrobulging height and warm hydroforming height do not exceed 6.2% and 8.5% respectively. Thus, the results show that the validity of the model is verified and the application of the C&L ductile fracture criterion in sheet warm hydrobulging and hydroforming is effective.

Key words: warm hydroforming, ductile fracture, M-K model, material constant, numerical simulation

CLC Number:

V260.1
TG394

LANG Lihui, YANG Xiying, LIU Kangning, CAI Gaocan, GUO Chan. A calculating model of material constants in ductile fracture criterion and its applications[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2015, 36(2): 672-679.

References

[1] Li T, Lang L H, An D Y, et al. Multi sheet hydroforming of complicated thin wall part and numerical simulation[J]. Journal of Beijing University of Aeronautics and Astronautics, 2007, 33(7): 830-833 (in Chinese). 李涛, 郎利辉, 安东洋, 等. 复杂薄壁零件板多级充液成形及过程数值模拟[J]. 北京航空航天大学学报, 2007, 33(7): 830-833.

[2] Lang L H, Joachim D, Karl B N. Study on hydromechanical deep drawing with uniform pressure onto the blank[J]. International Journal of Machine Tools and Manufacturing, 2004, 44(5): 495-502.

[3] Lang L H, Gu G C, Li T, et al. Numerical and experimental conformation of the calibration stage's effect in multi-operation sheet hydroforming using poorformability materials[J]. Journal of Materials Processing Technology, 2008, 201(1-3): 97-100.

[4] Zhu Y, Wan M, Zhou Y K. Multi-stage hydromechanical deep drawing of complex thin-walled superalloy parts[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(3): 552-560 (in Chinese). 朱宇, 万敏, 周应科. 高温合金复杂薄壁零件多道次充液拉深技术[J]. 航空学报, 2011, 32(3): 552-560.

[5] Wang H T, Gao L, Shen X H, et al. Hydromechanical deep drawing of aluminum alloy 2A12O assisted by augmented radial pressure[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(6): 1266-1271 (in Chinese). 王会廷, 高霖, 沈晓辉, 等. 双路径自然增压铝合金2A12O充液拉深[J]. 航空学报, 2010, 31(6): 1266-1271.

[6] Swift H W. Plastic instability under plane stress[J]. Journal of the Mechanics and Physics of Solids, 1952, 1(1): 1-18.

[7] Hill R. On discontinuous plastic states with special reference to localized necking in thin sheets[J]. Journal of Mechanics and Physics of Solids, 1952, 1(1): 19-31.

[8] Marciniak Z, Kuczynski K. Limit strains in the processes of stretch-forming sheet metal[J]. International Journal of Mechanical Science, 1967, 9(3): 609-620.

[9] Huang J K, Dong X H. Research progress of meso-damage mechanics for ductile fracture criterion in metal forming[J]. Journal of Shanghai Jiao Tong University, 2006, 40(10): 1748-1753 (in Chinese). 黄建科, 董湘怀. 金属成形中韧性断裂准则的细观损伤力学研究进展[J]. 上海交通大学学报, 2006, 40(10): 1748-1753.

[10] Xie Y M, Yu H P, Chen J, et al. Recent advances of research on application of ductile fracture criteria in sheet metal forming process[J]. Journal of Engineering Design, 2007, 14(1): 6-10 (in Chinese). 谢延敏, 于沪平, 陈军, 等. 板料成形中韧性断裂准则应用研究进展[J]. 工程设计学报, 2007, 14(1): 6-10.

[11] Yang Y Y, Yu Z Q, Li X C, et al. A new ductile fracture criterion and its application to the prediction of forming limit in deep drawing[J]. Journal of Material Science & Technology, 2003, 19(z1): 217-219.

[12] Lei L P, Kim J. Bursting failure prediction in tube hydroforming process by using rigid-plastic FEM combined with ductile fracture criterion[J]. International Journal of Mechanical Sciences, 2002, 44(7): 1411-1428.

[13] Gao F H, Gui L J, Fan Z J. Numerical simulation of the fracture in sheet metal stamping based on ductile criterion[J]. Engineering Mechanics, 2010, 27(2): 204-208 (in Chinese). 高付海, 桂良进, 范子杰. 基于韧性准则的金属板料冲压成形断裂模拟[J]. 工程力学, 2010, 27(2): 204-208.

[14] Takuda H, Mori K. Finite element analysis of limit strains in biaxial stretching of sheet metals allowing for ductile fracture[J]. International Journal of Machine Tools and Manufacturing, 2000, 42(4): 785-798.

[15] Wu J, Zhan M, Jiang H B, et al. A modified Lemaitre ductile fracture criterion and its application to spinning forming[J]. Acta Aeronautica et Astronautica Sinica, 2011, 32(7): 1309-1317 (in Chinese). 吴卷, 詹梅, 蒋华兵, 等. 一种改进的Lemaitre韧性断裂准则及其在旋压成形中的应用[J]. 航空学报, 2011, 32(7): 1309-1317.

[16] Jain M, Allin J, Lloyd D J. Fracture limit prediction using ductile fracture criteria for forming of an automotive aluminum sheet[J]. International Journal of Mechanical Sciences, 1999, 41(10), 273-288.

[17] Takuda H, Mori K, Hatta N. The application of some criteria for ductile fracture to the prediction of the forming limit of sheet metals[J]. Journal of Materials Processing Technology, 1999, 95(1-3): 116-121.

[18] Vallellano C, Morales D, Garcia-Lomas F J. A study to predict failure in biaxially stretched sheets of aluminum alloy 2024-T3[J]. Materials and Manufacturing Processes, 2008, 23(3): 303-310.

[19] Xie Y M, Yu H P, Chen J, et al. Recent research advance of application of ductile fracture criteria in sheet metal forming process[J]. Journal of Harbin Institute of Technology, 2009, 41(1): 169-173 (in Chinese). 谢延敏, 于沪平, 陈军, 等. 韧性断裂准则在板料成形中应用研究进展[J]. 哈尔滨工业大学学报, 2009, 41(1): 169-173.

[20] Hill R. A theory of the yielding and plastic flow of anisotropic metals[C]//Proceedings of the Royal Society of London Series A, 1948: 281-297.

[21] Chen J S, Zhou X B. Suitability of some ductile fracture criteria and yield criteria in forming limit prediction[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(8): 969-973 (in Chinese). 陈劼实, 周贤宾. 成形极限预测韧性断裂准则及屈服准则的影响[J]. 北京航空航天大学学报, 2006, 32(8): 969-973.

A calculating model of material constants in ductile fracture criterion and its applications

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