基于本征应变重构技术构造搅拌摩擦焊接铝合金薄板接头的残余应力场
Reconstruction of Residual Stress Field in A Fricition Stir Welding Joint of Aluminium Alloy Plate Based on Eigenstrain Reconstruction Method
摘 要
采用本征应变重构技术, 以小孔法测试的少量应力数据为基础, 利用热弹性有限元法构造出4 mm厚铝合金搅拌摩擦焊接接头的纵向残余应力场; 研究了表征本征应变的多项式阶数和试验数据量对构造残余应力场结果的影响。结果表明: 在少量测试数据的基础上对数据进行插值拟合处理, 采用10阶以上切比雪夫多项式表征本征应变, 可构造出与试验结果符合较好的纵向残余应力场; 试验数据需包含特征区域的应力值才能较准确构造出该区域的应力分布。
残余应力
本征应变重构
热弹性有限元法
friction stir welding
residual stress
eigenstrain reconstruction
thermal-elastic finite element method
Abstract
Based on the eigenstrain reconstruction method and limited measurements with hole-drilling method, the longitudinal residual stress distribution in a friction stir welding joint of 4 mm thickness aluminium alloy plate was reconstructed by the thermal-elastic finite element method. The effects of the order of polynomial and the amount of the experimental data on the constructed residual stress field were also investigated. The results show that the longitudinal residual stress distribution can be well reconstructed from the limited experimental data treated by interpolation fitting based on the eigenstrain reconstruction method with the order of the Chebyshev polynomial larger than 10 to construct the unknown eigenstrain. In addition, the constructed stress would be more accurate if the experimental data includes the stresses in the required regions.
中图分类号 TG404
所属栏目 物理模拟与数值模拟
基金项目 江苏科技大学博士启动基金资助项目(35061107); 江苏科技大学本科创新项目(2012147)
收稿日期 2012/10/13
修改稿日期 2013/8/7
网络出版日期
作者单位点击查看
备注杨晓锋(1989-), 男, 福建长汀人, 本科生。
引用该论文: YANG Xiao-feng,LIU Chuan,LI Jia-wei,YE Kun,WANG Hui-huang,WANG Qian-pu. Reconstruction of Residual Stress Field in A Fricition Stir Welding Joint of Aluminium Alloy Plate Based on Eigenstrain Reconstruction Method[J]. Materials for mechancial engineering, 2013, 37(10): 96～100
杨晓锋,刘川,李佳伟,叶坤,王辉煌,王钱浦. 基于本征应变重构技术构造搅拌摩擦焊接铝合金薄板接头的残余应力场[J]. 机械工程材料, 2013, 37(10): 96～100
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参考文献
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【2】WITHERS P J. Residual stress and its role in failure[J].Reports on Progress in Physics, 2007, 70(12): 2211-2264
【3】BOUCHARD P J. Validated residual stress profiles for fracture assessments of stainless steel pipe girth welds[J].International Journal of Pressure Vessels and Piping, 2007, 84(4): 195-222.
【4】DONG P, BRUST F W. Welding residual stresses and effects on fracture in pressure vessel and piping components: a millennium review and beyond[J].Journal of Pressure Vessel Technology, 2000, 122(3): 329-338.
【5】李灿, 傅定发, 王冠, 等.焊接顺序对6061-T6铝合金矩形焊缝焊接残余应力及变形量的影响[J].机械工程材料, 2012, 36(7): 88-92．
【6】LINDGREN L E. Numerical modelling of welding[J].Computer Methods in Applied Mechanics and Engineering, 2006, 195 (48/49): 6710-6736.
【7】UEDA Y, FUKUDA K, NAKACHO K, et al. A new measuring method of residual stresses with the aid of finite element method and reliability of estimated values[J].Transaction of JWRI, 1975, 4(2): 123-131.
【8】HILL M R. Determination of residual stress based on the estimation of eigenstrain[D].Stanford: Stanford University, 1996.
【9】MATOS C G, DODDS R H. Modeling the effects of residual stresses on defects in welds of steel frame connections[J].Engineering Structures, 2000, 22(9): 1103-1120.
【10】WANG Z. Fatigue behavior and failure assessment of plate connections in ship shaped structures[D].Singapore: National University of Singapore, 2008.
【11】KORSUNSKY A M, REGINO G M, LATHAM D, et al. Eigenstrain analysis of synchrotron X-ray diffraction measurement of residual strains in machined nickel alloy plates[J].Journal of Strain Analysis for Engineering Design, 2006, 41(5): 381-395.
【12】KORSUNSKY A M, REGINO G M, NOWELL D. Variational eigenstrain analysis of residual stresses in a welded plate[J].International Journal of Solids and Structures, 2007, 44(13): 4574-4591.
【13】JUN T S, KORSUNSKY A M. Evaluation of residual stresses and strains using the Eigenstrain Reconstruction method[J].International Journal of Solids and Structures, 2010, 47(13): 1678-1686.
【14】钱秀清, 姚振汉, 曹艳平．用边界元反分析构造平面残余应力场[J].工程力学, 2006, 23(9): 6-11.
【15】童星, 顾伟生, 朱世根, 等.304不锈钢薄壁焊管表面残余拉应力的测定及消除[J].机械工程材料, 2012, 36(2): 80-82.
【16】付鹏飞, 左从进, 毛智勇, 等.电子束焊接GH536合金残余应力分布小孔法测试[J].焊接学报, 2005, 26(11): 21-23.
【17】STONE H J, WITHERS P J, HOLDEN T M, et al. Comparison of three different techniques for measuring the residual stresses in an electron beam-welded plate of WASPALOY[J].Metallurgical and Materials Transactions: A, 1997, 30(7): 1797-1808.
【18】LIU C, ZHANG J X, NIU J. Numerical and experimental analysis of residual stresses in full-penetration laser beam welding of Ti6Al4V alloy[J].Rare Metal Materials and Engineering, 2009, 38(8): 1317-1320.
【19】熊庆人, 李霄, 霍春勇, 等.X80钢大口径螺旋焊管的残余应力[J].机械工程材料, 2011, 35(10): 4-7.
【20】LIU C, WU B, ZHANG J X. Numerical investigation of residual stress in thick titanium alloy platejoined with electron beam welding[J].Metallurgical and Materials Transactions: B, 2010, 41(5): 1129-1138.
【21】LUCKHOO H T, JUN T S, KORSUNSKY A M. Inverse eigenstrain analysis of residual stresses in friction stir welds[J].Procedia Engineering, 2009, 1(1): 213-216.
【22】KARTAL M E, LILJEDAHL C D M, GUNGOR S, et al. Determination of the profile of the complete residual stress tensor in a VPPA weld using the multi-axial contour method[J].Acta Materialia, 2008, 56(16): 4417-4428.
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