Modeling for Flow Behavior of 6013 Aluminum Alloy during Hot Deformation Based on Metamodeling Method
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摘 要
为探寻金属材料热变形流变行为建模的高效方法, 运用Gleeble-3500型热模拟机对6013铝合金进行了热压缩试验, 基于试验数据和三种元模型方法(克里金、径向基函数与多元多项式)分别构建了该合金的热变形流变行为模型, 并就各方法建模的预测能力进行了分析与对比。结果表明: 三种元模型方法均可建立较高精度的预测模型, 可以描述各热力学参数之间高度非线性的复杂关系; 在模型预测精度和泛化能力方面, 克里金方法较径向基函数和多元多项式方法均具有显著优势, 是元模型方法中可用于金属热变形流变行为建模的一种较为准确有效的方法。
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Abstract
In order to look for an effective approach to model the thermal flow behavior of metal materials, the hot compression test of 6013 aluminum alloy was conducted using Gleeble-3500 thermal simulator. Based on the experimental data and three types of metamodeling method (Kriging, radial basis function and multivariate polynomial), the hot deformation flow behavior models of the alloy were built respectively and their prediction abilities were analyzed and compared. The results show that the prediction models constructed from the three metamodeling methods were all of a relatively high accuracy and can be used to describe the complicated nonlinear relationship among thermodynamic parameters. The modeling accuracy and generalization capability of the Kriging method were much better than those of the other two methods, indicating that Kriging method is a relatively accurate and efficient method for modeling hot deformation behavior of metals among the metamodeling methods.
中图分类号 TG146.21 TH142.3 DOI 10.11973/jxgccl201601019
所属栏目 物理模拟与数值模拟
基金项目 国家自然科学基金面上基金资助项目(51475156); 国家重点科技项目(2014ZX04002071); 广西有色金属及特色材料加工重点实验室开放基金资助项目(GXKFJ14-08)
收稿日期 2015/6/2
修改稿日期 2015/10/22
网络出版日期
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备注肖罡(1983-), 男, 江西武宁人, 博士研究生。
引用该论文: XIAO Gang,YANG Qin-wen,HE Huan3,LI Luo-xing,ZENG Jian-min. Modeling for Flow Behavior of 6013 Aluminum Alloy during Hot Deformation Based on Metamodeling Method[J]. Materials for mechancial engineering, 2016, 40(1): 78~82
肖罡,杨钦文,何欢,李落星,曾建民. 基于元模型方法的6013铝合金热变形流变行为建模[J]. 机械工程材料, 2016, 40(1): 78~82
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参考文献
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【2】张志正,王春旭,黄顺喆,等.镍微合金化9310钢的高温热变形行为[J].机械工程材料, 2014,38(10):64-68.
【3】CAO Y, DI H S, MISRA R D K, et al. On the hot deformation behavior of AISI 420 stainless steel based on constitutive analysis and CSL model[J]. Materials Science and Engineering: A, 2014,593:111-119.
【4】肖罡,李落星,刘志文,等.6013铝合金的热变形行为及热加工图[J].材料热处理学报, 2014,35(10):23-28.
【5】王火生,傅高升,陈永禄,等.铝锰镁合金热压缩变形的流变应力曲线与本构方程[J].机械工程材料, 2014,38(5):95-98.
【6】LIN Y C, CHEN X M. A critical review of experimental results and constitutive descriptions for metals and alloys in hot working[J]. Materials & Design, 2011,32:1733-1759.
【7】SAMANTARAY D, MANDAL S, BHADURI A K.Constitutive analysis to predict high-temperature flow stress in modified 9Cr-1Mo (P91) steel[J]. Materials & Design, 2010,31:981-984.
【8】刘新亮,张昆仑,郭波.高斯过程元模型建模方法及在火箭弹气动分析中应用[J].固体火箭技术, 2010,35(5):486-490.
【9】顾纪超.基于混合元模型的新型全局最优化方法及其在汽车设计中的应用[D].长沙: 湖南大学, 2011:5-7.
【10】吴文祥,韩逸,钟皓,等.2026铝合金热压缩变形流变应力行为[J].中国有色金属学报, 2009,19(8):1403-1408.
【11】肖罡,李落星,叶拓.6013铝合金平面热压缩流变应力曲线修正与本构方程[J].中国有色金属学报,2014,24(5):1268-1274.
【12】MATHERON G. Principals of geostatistics[J]. Economic Geology, 1963,58(8):1246-1266.
【13】HARDY R L. Multiquadratic equations of topography and other irregular surfaces[J]. Journal of Geophysical Research, 1971,76(1):1905-1915.
【14】MYERS R H, MONTGOMERY D C. Response surface methodology:process and product optimization using designed experiments[M].New York: John Wiley & Sons, 1995.
【15】DONG M G, WANG N. Adaptive network-based fuzzy inference system with leave-one-out cross-validation approach for prediction of surface roughness[J]. Applied Mathematical Modelling, 2011,35(3):1024-1035.
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