Identification of Constitutive Parameters for Sheet Warm Forming of Advanced High Strength Steel DP780
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摘要: 先进高强双相钢板料温成形的本构模型参数识别,是提高塑性变形行为仿真准确度的关键。通过建立基于拉丁超立方抽样法和Spearman秩相关性分析法的本构模型参数敏感度分析方法,进而实现了参数敏感度的整体性分析。然后结合敏感度分析结果、DP780钢单向拉伸试验以及拉伸过程有限元模拟,构建了不同温度下的距离函数和材料本构参数之间的响应面模型。将本构参数识别问题归结为求解最小距离函数问题,利用遗传算法进行优化计算,最终获得了不同温度下的DP780钢井上胜郎本构模型参数。结果表明,建立的本构参数识别方法较好地满足本构模型精度要求。Abstract: The parameters identification of constitutive model for the sheet warm forming of advanced high strength dual phase steel is the key to improve the simulation accuracy of plastic deformation behavior. By establishing the parameter sensitivity analysis method of constitutive model based on the Latin hypercube sampling method and Spearman rank correlation analysis method, the overall analysis of parameter sensitivity was realized. Then, combining the sensitivity analysis results, the unidirectional tensile test of DP780 steel and the finite element simulation of the tensile process, the response surface model between the distance function and the material parameters in the constitutive model under different temperatures was constructed. The parameter identification problem in the constitutive model was reduced to solving the minimum distance function problem. The optimization algorithm is used for the optimization calculation, and the parameters of the Inoue Sin constitutive model for of DP780 steel under the different temperatures were finally obtained. The results show that the parameter identification method in the constitutive model can meet the requirement of constitutive model accuracy.
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表 1 初始本构参数取值范围
温度/K k n m 573 [53.76, 59.74] [0.243, 0.297] [−0.008, −0.006] 673 [59.70, 72.97] [0.178, 0.218] [−0.004, −0.006] 773 [63.30, 71.04] [0.119, 0.145] [0.039, 0.047] 873 [66.90,81.77] [0.096, 0.118] [0.127, 0.155] 表 2 温度为873 K时,本构参数敏感度
样本数量 k n m 10 0.4303 0.9879 0.4909 50 0.3717 0.9863 0.4154 100 0.3753 0.9841 0.4262 200 0.3778 0.9841 0.4223 500 0.3769 0.9844 0.4226 1000 0.3768 0.9843 0.4224 表 3 不同温度本构模型参数敏感度
温度/K k n m 573 0.3605 0.7577 1 673 0.3586 0.7581 1 773 0.3592 0.7578 0.978 873 0.3778 0.9841 0.4223 表 4 修正后本构参数取值范围
温度/K k n m 573 [53.76, 59.74] [0.257, 0.284] [−0.01, −0.0035] 673 [59.70, 72.97] [0.188, 0.208] [−0.0075,−0.0025] 773 [63.30, 71.04] [0.125, 0.138] [0.041, 0.045] 873 [66.90, 81.77] [0.105, 0.109] [0.138, 0.148] 表 5 正交试验表
温度/K 水平 k n m 573 −1 53.76 0.257 −0.01 0 54.31 0.27 −0.007 1 59.74 0.284 −0.0035 673 −1 59.70 0.188 −0.0075 0 66.34 0.198 −0.005 1 72.97 0.208 −0.0025 773 −1 63.30 0.125 0.041 0 70.34 0.132 0.043 1 71.04 0.138 0.045 873 −1 66.90 0.105 0.138 0 74.34 0.107 0.141 1 81.77 0.109 0.148 表 6 遗传算法相关参数
温度/K 杂交概率 变异概率 种群规模 终止进化代数 573 0.85 0.12 60 90 673 0.85 0.12 60 90 773 0.85 0.12 60 90 873 0.8 0.1 50 80 表 7 逆向识别的本构参数
温度/K k n m min(D(T)) 573 0.269 −0.006 0.005 54.67 673 0.208 −0.007 0.009 68.64 773 0.138 0.041 0.005 71.42 873 0.105 0.138 0.007 76.74 -
[1] 李琦, 阳林, 贺绍华. 面向汽车轻量化的先进高强度钢成型技术[J]. 客车技术与研究, 2012, 34(5): 47-50, 55 doi: 10.3969/j.issn.1006-3331.2012.05.019LI Q, YANG L, HE S H. Molding technology of advanced high strength steel for automobile Lightweight[J]. Bus & Coach Technology and Research, 2012, 34(5): 47-50, 55 (in Chinese) doi: 10.3969/j.issn.1006-3331.2012.05.019 [2] 王存宇, 杨洁, 常颖, 等. 先进高强度汽车钢的发展趋势与挑战[J]. 钢铁, 2019, 54(2): 1-6WANG C Y, YANG J, CHANG Y, et al. Development trend and challenge of advanced high strength automobile steels[J]. Iron & Steel, 2019, 54(2): 1-6 (in Chinese) [3] 孙蓟泉, 李双娇, 尹衍军. 高强钢先进成型技术和本构模型研究现状与发展趋势[J]. 鞍钢技术, 2014(5): 1-6 doi: 10.3969/j.issn.1006-4613.2014.05.001SUN J Q, LI S J, YIN Y J. Advanced forming process for high strength steel and research status and development tendency of constitutive model[J]. Angang Technology, 2014(5): 1-6 (in Chinese) doi: 10.3969/j.issn.1006-4613.2014.05.001 [4] 韩娟娟. 基于强塑积指标的车身用高强度钢板温成形性能研究[D]. 镇江: 江苏大学, 2013.HAN J J. Investigation on warm forming performance of high strength steel used in automobile body based on product of strength and ductility[D]. Zhenjiang: Jiangsu University, 2013 (in Chinese) [5] 项正波, 方刚. 双相钢DP780在高应变速率下的力学本构表征研究[J]. 汽车工程学报, 2019, 9(5): 380-384XIANG Z B, FANG G. Research on mechanical constitutive model of dual phase steel DP780 at the high strain rate[J]. Chinese Journal of Automotive Engineering, 2019, 9(5): 380-384 (in Chinese) [6] 田成达, 李大永, 彭颖红, 等. DP780高强钢板动态变形力学行为研究[J]. 塑性工程学报, 2008, 15(9): 102-106TIAN C D, LI D Y, PENG Y H, et al. Research on the dynamic deformation behavior of the DP780 advanced high strength steel[J]. Journal of Plasticity Engineering, 2008, 15(9): 102-106 (in Chinese) [7] 王学双, 曹广祥, 张义和, 等. DP780钢应变率敏感特性研究及本构方程的建立[J]. 汽车工艺与材料, 2014(3): 48-51 doi: 10.3969/j.issn.1003-8817.2014.03.013WANG X S, CAO G X, ZANG Y H, et al. Study on strain rate sensitivity of DP780 steel and establishment of constitutive equation[J]. Automobile Technology & Material, 2014(3): 48-51 (in Chinese) doi: 10.3969/j.issn.1003-8817.2014.03.013 [8] 刘大海, 孟维金, 蒙骏鹏. DP780高强钢板材高应变率变形行为及本构模型[J]. 塑性工程学报, 2018, 25(1): 161-166, 174LIU D H, MENG W J, MENG J P. Deformation behavior and constitutive model of DP780 high strength steel at high strain rates[J]. Journal of Plasticity Engineering, 2018, 25(1): 161-166, 174 (in Chinese) [9] 冷杨松, 李迪, 曹凡, 等. 双相钢车身板DP780的温热成形本构模型[J]. 济南大学学报, 2019, 33(4): 301-307LENG Y S, LI D, CAO F, et al. Constitutive model of dual-phase steel body panel DP780 in warm forming[J]. Journal of University of Jinan, 2019, 33(4): 301-307 (in Chinese) [10] 中华人民共和国国家质量监督检验检疫总局, 中国国家标准化管理委员会. GB/T 4338—2006 金属材料高温拉伸试验方法[S]. 北京: 中国标准出版社, 2007.General Administration of Quality Supervision, Inspection and Quarantine of the People′ s Republic of China, Standardization Administration of China. GB/T4338—2006 Metallic materials-Tensile testing at elevated temperature[S]. Beijing: China Standard Press, 2007 (in Chinese) [11] SIMPSON T W, DENNIS L, CHEN W. Sampling strategies for computer experiments: design and analysis[J]. International Journal of Reliability and Application, 2001, 2(3): 209-240 [12] 黄文, 赵涵, 陆宏, 等. 基于单轴拉伸试验、模拟及优化方法的材料本构识别[J]. 塑性工程学报, 2019, 26(6): 251-255 doi: 10.3969/j.issn.1007-2012.2019.06.035HUANG W, ZHAO H, LU H, et al. Identification of constitutive equation of material based on uniaxial tension test, simulation and optimal method[J]. Journal of Plasticity Engineering, 2019, 26(6): 251-255 (in Chinese) doi: 10.3969/j.issn.1007-2012.2019.06.035 [13] 盛鹰, 曾祥国, 韩悌信, 等. 钛合金动态本构模型参数敏感度分析及识别方法[J]. 四川大学学报, 2015, 47(S2): 110-117SHENG Y, ZENG X G, HAN T X, et al. Parameter sensitivity analysis and identification method for dynamic constitutive relationship of Titanium Alloy[J]. Journal of Sichuan University, 2015, 47(S2): 110-117 (in Chinese) [14] 徐小琴. 基于可识别分析的车用材料本构模型参数识别方法研究[D]. 广州: 华南理工大学, 2017.XU X Q. Research on parameter identification method of vehicle material constitutive model based on identifiable analysis[D]. Guangzhou: South China University of Technology, 2017 (in Chinese) [15] 闫晶, 杨合, 詹梅, 等. 一种确定管材本构参数的新方法及其应用[J]. 材料科学与工艺, 2009, 17(3): 297-300YAN J, YANG H, ZHAN M, et al. A new method to determine plastic constitutive parameters of tube and its applications[J]. Materials Science & Technology, 2009, 17(3): 297-300 (in Chinese) [16] 王梦寒, 王彦丽, 杨海. 基于响应面法的高强度钢板热冲压成形圆角破裂的工艺参数优化[J]. 中南大学学报, 2014, 45(12): 4161-4167WANG M H, WANG Y L, YANG H. Optimization of fillet cracking process parameters for high strength steel plate hot stamping based on response surface methodology[J]. Journal of Central South University, 2014, 45(12): 4161-4167 (in Chinese) [17] 周婷婷, 王罡, 杨洋, 等. Bammann-Chiesa-Johnson粘塑性本构模型的参数识别方法与验证[J]. 材料导报, 2017, 31(3): 75-79, 111ZHOU T T, WANG G, YANG Y, et al. A comprehensive Method of parameter identification and validation for Bammann-Chiesa-Johnson viscoplasticity constitutive model[J]. Materials Reports, 2017, 31(3): 75-79, 111 (in Chinese)