陈金龙^1,2, 尹承振¹, 孙翠茹^1,2
AuthorsHTML:陈金龙^1,2, 尹承振¹, 孙翠茹^1,2
AuthorsListE:Chen Jinlong^1,2, Yin Chengzhen¹, Sun Cuiru^1,2
AuthorsHTMLE:Chen Jinlong^1,2, Yin Chengzhen¹, Sun Cuiru^1,2
Unit:1. 天津大学机械工程学院，天津 300350; 2. 天津市现代工程力学重点实验室，天津 300350
Unit_EngLish:1．School of Mechanical Engineering, Tianjin University, Tianjin 300350, China
2．Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin 300350, China
Abstract_Chinese:基于传统裂纹柔度法, 提出了一种改进的残余应力测量方法——渐进裂纹柔度法．与传统方法只能获得沿厚度方向一维分布的残余应力不同, 该方法可以获得工件横截面内二维分布残余应力场．建立了该方法的理论模型, 并对二元基函数的选取、渐进裂纹柔度函数的计算以及待定系数方程的求解方法进行了阐述．通过仿真实验用该渐进裂纹柔度法测量了给定二维分布残余应力场．仿真测量结果与给定残余应力场的大部分区域相对误差小于5%, 只在边缘部分误差较高．通过模拟研究多种应变测量误差的影响, 证明了该方法具有较好的鲁棒性及准确性．渐进裂纹柔度法由于能测量二维分布残余应力场, 应用范围较传统方法更为广泛, 为残余应力测量提供了新方法．
Abstract_English:Incremental slitting method，an improved measurement method of residual stress，was proposed based on the traditional slitting method. Unlike the traditional method，which can only obtain the one-dimensional residual stress in the depth direction，the proposed method can map the two-dimensional distribution of the cross-sectional residual stress of an object. The theoretical model of the proposed method was built. The selection of the binary basis function，the calculation of incremental slitting method coefficient，and the solution method of the equation of undetermined coefficient were elaborated. Then a given two-dimensional mapping of residual stress field was measured by use of the proposed incremental slitting method，through finite element simulation. The results show that the relative error between the measured and the given value is less than 5% in most of the region excluding the edges where the error is relatively high. The influence of different levels of random measurement error of strain was investigated through simulation，which demonstrates the good robustness and the high accuracy of the method. The incremental slitting method has broader applications than the traditional method due to its ability for two-dimensional mapping of residual stress. It provides a novel method for residual stress measurement.
Keyword_Chinese:二维分布残余应力场; 渐进裂纹柔度法; 反问题分析; 有限元仿真
Keywords_English:two-dimensional mapping of residual stress; incremental slitting method; inverse problem analysis; finite element simulation．

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