Transactions of Materials and Heat Treatment

Title：Non-associated Hill48 yield criterion based on plastic evolution and its application in ultra-high strength DP steel sheet

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ClassificationCode：TG301

year,vol(issue):pagenumber：2024,49(7):217-225

Abstract：

For the plastic behavior of ultra-high strength DP steel sheet under complex loading condition, based on an non-associated Hill48 yield criterion considering plastic evolution, the initial and subsequent yield locus of DP steel predicted accurately by a simple yield equation were realized. Then, the basic mechanical properties and tensile yield locus of ultra-high strength DP1180 steel sheet were obtained by uniaxial tensile tests in 0°, 45° and 90° directions and biaxial tensile tests of cross-shaped specimens with complex proportional loading, and the experimental yield locus was predicted by using different yield criteria. The results show that the prediction accuracy of the non-associated Hill48 yield criterion considering plastic evolution for the initial yield locus of DP1180 steel sheet is similar to that of Yld2000-2d yield criterion, which can also predict the subsequent yield locus with the same highest accuracy and realize the precise characterization of the initial and subsequent yield behaviors of ultra-high strength DP1180 steel sheet, and can be applied to finite element analysis, die design and process optimization of stamping process for ultra-high strength DP steel sheet.

Funds：

国家自然科学基金资助项目(51875027)；宝钢汽车用钢开发与应用技术国家重点实验室基金资助项目（2021090602）

作者简介：周兵营（1994-），男，博士研究生 E-mail：zhoubingying@buaa.edu.cn 通信作者：吴向东（1970-），男，博士，副教授 E-mail：wuxiangdongbuaa@163.com

Reference：

［1］林忠钦, 黄庆学, 苑世剑, 等. 中国塑性成形技术和装备30年的重大突破与进展
［J］. 塑性工程学报, 2024, 31(4): 2-45.

Lin Z Q, Huang Q X, Yuan S J, et al. Major breakthrough and progress in metal forming technology and equipment of China in the last 30 years
［J］. Journal of Plasticity Engineering, 2024, 31(4): 2-45.

［2］陈锐. 基于Yoshida-Uemori模型的超高强钢板成形预测分析
［D］. 重庆: 重庆大学, 2022.

Chen R. Analysis of Forming Prediction of the Ultra-high Strength Steel Based on the Yoshida-Uemori Model
［D］. Chongqing: Chongqing University, 2022.

［3］邹隆勋, 徐栋恺, 李细锋, 等. 脉冲电流对MS1300超高强钢拉伸变形行为的影响
［J］. 塑性工程学报, 2022, 29(10): 196-201.

Zou L X, Xu D K, Li X F, et al. Effect of pulse current on tensile deformation behavior of MS1300 ultrahigh strength steel
［J］. Journal of Plasticity Engineering, 2022, 29(10): 196-201.

［4］程姣姣. 超高强钢非对称截面薄壁构件辊弯成形回弹及扭转问题研究
［D］. 北京: 北京科技大学, 2023.

Cheng J J. Research on Springback and Twist of Ultra High Strength Steel Thin-walled Conponents with Asymmetric Section in Roll Forming Process
［D］. Beijing: University of Science and Technology Beijing, 2023.

［5］孟伊帆. 超高强钢辊弯成形工艺与组织性能关系的研究
［D］. 北京: 北方工业大学, 2023.

Meng Y F. Research on the Relationship Between Roll Forming Process and Microstructure and Properties of Ultra High Strength Steel
［D］. Beijing: North China University of Technology, 2023.

［6］宋燕利, 刘煜键, 方志凌, 等. 超高强钢构件热冲压成形技术与应用
［J］. 机械工程学报, 2023, 59(20): 154-178.

Song Y L, Liu Y J, Fang Z L, et al. Hot stamping technology and application of ultra-high strength steel components
［J］. Journal of Mechanical Engineering, 2023, 59(20): 154-178.

［7］周珍林. 全过程数字化超高强钢成形质量控制方法
［J］. 模具制造, 2023, 23(5): 5-9.

Zhou Z L. Digital quality control method for ultra-highstrength steel forming in the whole process
［J］. Die & Mould Manufacture, 2023, 23(5): 5-9.

［8］穆振凯. 正交各向异性金属薄板后继屈服
［D］. 秦皇岛: 燕山大学, 2023.

Mu Z K. Subsequent Yield of Orthotropic Sheet Metal
［D］. Qinhuangdao: Yanshan University, 2023.

［9］方刚, 陈祝, 雷丽萍. 非关联本构模型在铝合金板料成形有限元模拟中的应用
［J］. 塑性工程学报, 2021, 28(6): 8-18.

Fang G, Chen Z, Lei L P. Application of non-associated constitutive models in finite elementsimulation of aluminum alloy sheet forming
［J］. Journal of Plasticity Engineering, 2021, 28(6): 8-18.

［10］Stoughton T B, Yoon J W. Anisotropic hardening and non-associated flow in proportional loading of sheet metals
［J］. International Journal of Plasticity, 2009, 25(9): 1777-1817.

［11］Lee J H. Research note on a simple model for pressure-sensitive strain-hardening materials
［J］. International Journal of Plasticity, 1988, 4(3): 265-278.

［12］Stoughton T B. A non-associated flow rule for sheet metal forming
［J］. International Journal of Plasticity, 2002, 18(5): 687-714.

［13］钱小磊. 基于实验的镁合金本构模型及其在轧制数值模拟中的应用研究
［D］. 沈阳: 吉林大学, 2014.

Qian X L. Study on Experiment-based Constitutive Model of Magnesium Alloy and Its Application in Numerical Simulation of Rolling Process
［D］. Shenyang: Jilin University, 2014.

［14］Wang G, Qian X L, Li X, et al. A study on compressive anisotropy and nonassociated flow plasticity of the AZ31 magnesium alloy in hot rolling
［J］. Mathematical Problems in Engineering, 2014, 2014: 256194.

［15］朱俊儿. 应变率相关的高强钢板材屈服准则与失效模型研究及应用
［D］. 北京: 清华大学, 2015.

Zhu J E. Modeling the Strain-rate Dependent Yielding and Failure Behavior of High Strength Steel Sheets
［D］. Beijing: Tsinghua University, 2015.

［16］Zhu J E, Xia Y, Luo H, et al. Influence of flow rule and calibration approach on plasticity characterization of DP780 steel sheets using Hill48 model
［J］. Int. J. Mech. Sci., 2014, 89: 148-157.

［17］Safaei M, Lee M G, Zang S L, et al. An evolutionary anisotropic model for sheet metals based on non-associated flow rule approach
［J］. Comput.Mater Sci., 2014, 81: 15-29.

［18］Cai Z, Diao K, Wu X, et al. Constitutive modeling of evolving plasticity in high strength steel sheets
［J］. Int. J. Mech. Sci., 2016, 107: 43-57.

［19］Lian J, Shen F, Jia X, et al. An evolving non-associated Hill48 plasticity model accounting for anisotropic hardening and r-value evolution and its application to forming limit prediction
［J］. International Journal of Solids and Structures, 2018, 151: 20-44.

［20］Shen F, Münstermann S, Lian J. An evolving plasticity model considering anisotropy, thermal softening and dynamic strain aging
［J］. International Journal of Plasticity, 2020, 132: 102747.

［21］Shen F, Münstermann S, Lian J. Forming limit prediction by the Marciniak-Kuczynski model coupled with the evolving non-associated Hill48 plasticity model
［J］. J. Mater. Process. Technol., 2021, 287: 116384.

［22］Mu Z, Zhao J, Meng Q, et al. Anisotropic hardening and evolution of r-values for sheet metal based on evolving non-associated Hill48 model
［J］. Thin-Walled Structures, 2022, 171: 108791.

［23］王逸涵, 董红瑞, 王海波, 等. 基于非关联Hill48塑性模型的TC1钛合金板本构模型
［J］. 塑性工程学报, 2022, 29(2): 180-184.

Wang Y H, Dong H R, Wang H B, et al. Constitutive model of TC1 titanium alloy sheet based on non-associated Hill48 plastic model
［J］. Journal of Plasticity Engineering, 2022, 29(2): 180-184.

［24］Hill R. A theory of the yielding and plastic flow of anisotropic metals
［J］. Proceedings of the Royal Society of London Series A Mathematical and Physical Sciences, 1948, 193(1033): 281-297.

［25］GB/T 228.1—2021, 金属材料拉伸试验第1部分：室温试验方法
［S］.

GB/T 228.1—2021, Metallic materials—Tensile testing—Part 1: Method of test at room tenperature
［S］.

［26］GB/T 36024—2018, 金属材料薄板和薄带十字形试样双向拉伸试验方法
［S］.

GB/T 36024—2018, Metallic materials—Sheet and strip—Biaxial tensile testing method using a cruciform test piece
［S］.

［27］周兵营, 豆远航, 吴向东, 等. TA4纯钛带材各向异性屈服行为表征与研究
［J］. 精密成形工程, 2023, 15(2): 11-18.

Zhou B Y, Dou Y H, Wu X D, et al. Characterization and study on anisotropic yield behavior of TA4 pure titanium strip
［J］. Journal of Netshape Forming Engineering, 2023, 15(2): 11-18.

［28］翟京. 双向拉压力学试验机的装备开发与实验研究
［D］. 北京: 北方工业大学, 2014.

Zhai J. Hardware Development and Experimental Research of Biaxial Tension and Compression Mechanical Testing Mechine
［D］. Beijing: North China University of Technology, 2014.

［29］吴向东. 不同加载路径下各向异性板料塑性变形行为的研究
［D］. 北京: 北京航空航天大学, 2003.

Wu X D. Research on the Plastic Deformation Behavior of Anisotropic Sheet Metal under Different Loading Paths
［D］. Beijing: Beihang University, 2003.

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