两种求解应力强度因子权函数方法的对比分析
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摘要
对WXR权函数法和通用权函数法的特点进行了分析,并通过计算两种典型一维I型裂纹结构(有限宽板中心穿透裂纹、双边穿透裂纹)承受均布、梯度分布载荷下的应力强度因子,对两种权函数法的精度进行了对比评估。得到以下主要结论:对于二维线裂纹体WXR权函数法精度相对较高,但应用于三维面裂纹体时相对复杂亦不能表现三维效应,通用权函数法能够直接方便地适用于二、三维裂纹问题。两种权函数法对参考应力分布下的应力强度因子计算精度与对复杂非均匀应力分布下的计算精度基本一致,要保证其在复杂应力分布下具有较高的计算精度,必须提高参考应力强度因子解本身的精度。
The characteristics of the WXR weight function methods and the general weight function methods were analyzed,the accuracy of the two methods were compared to assess by calculating the stress intensity factors of two typical one-dimensional mode I cracked structures(a center through crack and double edge cracks in a finite width plate)under uniform loading or gradient loading. The following conclusions:the WXR weight function methods show higher precision for the twodimensional line crack but more complicated for three-dimensional surface crack and can't show the effects of three-dimensional on SIF. The universal weight function methods can be easily and directly applied to both. The precision of the two kinds of weight function methods for calculating the stress intensity factor under the reference stress distribution and the complex non-uniform stress distribution are basically identical,and to ensure their precision under the complex stress distribution,it must improve the accuracy of the reference stress intensity factors.
The characteristics of the WXR weight function methods and the general weight function methods were analyzed,the accuracy of the two methods were compared to assess by calculating the stress intensity factors of two typical one-dimensional mode I cracked structures(a center through crack and double edge cracks in a finite width plate)under uniform loading or gradient loading. The following conclusions:the WXR weight function methods show higher precision for the twodimensional line crack but more complicated for three-dimensional surface crack and can't show the effects of three-dimensional on SIF. The universal weight function methods can be easily and directly applied to both. The precision of the two kinds of weight function methods for calculating the stress intensity factor under the reference stress distribution and the complex non-uniform stress distribution are basically identical,and to ensure their precision under the complex stress distribution,it must improve the accuracy of the reference stress intensity factors.
引文
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[2]J.Rice,Some remarks on elastic crack-tip stress field[J].Solids Struct.1972(8):751-758.
[3]NASA-JSC and SwRI.NASGRO Fracture Mechanics and Fatigue Crack Growth Analysis Software[M],2002,4(2).
[4]Southwest Research Institute.DARWIN Theory[M],2008,6(1).
[5]X.R.Wu,A.J.Carlsson.Weight Functions and Stress Intensity Factor Solutions[M].Pergamum Press,1991.
[6]W.zhao,X.R.Wu,M.G.Yan.Weight function method for three dimensional crack problems--I.Basic formulation and application to an embedded elliptical crack in finite plates[J].Engineering Fracture Mechanics,1989,34(3):593-607.
[7]杨化仁.用权函数法建立疲劳裂纹扩展的估算模型[J].机械设计与制造,1994(3):10-12.(Yang Hua-ren.Establish estimate model of fatigue crack propagation with the weight function method[J].Machinery Design&Manufacture,1994(3):10-12.)
[8]G.Glinka,G.shen.Universal feature of weight functions for creaks in mode I[J].Engineering Fracture Mechanics,1991(40):1135-1146.
[9]G.Glinka,Ph.D.Development of weight functions and computer integration procedures for calculating stress intensity factors around cracks subjected to complex stress fields[D].Analytical Services&Materials,1996.
[10]Petroski H.J,Achenbach JD.Computation of the Weight Function from a Stress Intensity Factor[J].Engine Fracture Mechanics,1978(10):257-266.