复杂载荷下偏心穿透裂纹应力强度因子的计算方法

贾旭; 胡绪腾; 宋迎东

doi:10.13224/j.cnki.jasp.2018.06.020

复杂载荷下偏心穿透裂纹应力强度因子的计算方法

doi: 10.13224/j.cnki.jasp.2018.06.020

贾旭^1,2,
胡绪腾¹,
宋迎东^1,2

1.
南京航空航天大学能源与动力学院江苏省航空动力系统重点实验室,南京 210016
2.
南京航空航天大学机械结构力学及控制国家重点实验室,南京 210016

基金项目: 国家自然科学基金(E050401)

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出版历程
- 收稿日期: 2016-11-22
- 刊出日期: 2018-06-28

Calculation method of stress intensity factors of eccentric through cracks subjected to complex loading

摘要

摘要: 提出了三维矩形平板内偏心穿透裂纹承受复杂非线性载荷下,仅含有3个系数的通用权函数。采用有限元法获得了三维矩形平板裂纹体模型下的3组参考应力强度因子,结合二元拉格朗日插值法获得了通用权函数系数。进行了自洽性验证以及裂纹面上承受简单3次、5次、7次、复杂幂函数应力分布和残余应力分布下通用权函数的验证。结果表明,通用权函数的自洽性误差在0.9%以内；裂纹面上承受复杂幂函数应力分布时,通用权函数法的误差在4.5%以内；裂纹面承受残余应力分布载荷时,通用权函数法的误差在8.5%以内。说明所提出的通用权函数具有较高的计算精度,可以满足工程中高效、准确地计算偏心穿透裂纹承受任意复杂非线性载荷下的应力强度因子需求。
- 应力强度因子 /
- 偏心穿透裂纹 /
- 通用权函数 /
- 非线性应力场 /
- 有限元法
Abstract: General weight functions only containning three coefficients for eccentric through cracks in a 3-D rectangular plate subjected to complex nonlinear loading were proposed. Three sets of reference stress intensity factors of 3-D rectangular cracked plate were obtained by the finite element method, and combining with binary Lagrange interpolation method, the three coefficients of each general weight function were also obtained. Self-consistency of general weight functions was verified and general weight functions were also validation when the crack surface was loaded by simple third-order, fifth-order, seventh-order, complex power law stress distributions and the residual stress distribution were conducted. Results showed that, the self-consistency error of general weight functions was smaller than 0.9%, when the crack surface was loaded by the complex power law stress distribution, error of the weight function method was smaller than 4.5%, when the crack surface was loaded by the residual stress distribution, error of the weight function method was smaller than 8.5%. This indicates that the proposed general weight functions has high computing accuracy, which could meet the challenge of calculating stress intensity factors of eccentric through cracks subjected to arbitrary complex nonlinear loading efficiently and correctly in engineering.
- stress intensity factors /
- eccentric through crack /
- general weight function /
- nonlinear stress field /
- finite element method

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参考文献(19)

[1]	TADA H,PARIS P,IRWIN G.The stress analysis of cracks handbook［M］.St.Louis,Missouri,US:Paris Production Incorporation,1985.
[2]	MURAKAMI Y,HASEBE M T,IFOH K,et al.Stress intensity factors handbook［M］.Oxford,UK：Pergamon Press,1992.
[3]	贾旭,胡绪腾,宋迎东.基于三维裂纹尖端应力场的应力强度因子计算方法［J］.航空动力学报,2016,31(6):1417-1426.JIA Xu,HU Xuteng,SONG Yingdong.Calculation method of stress intensity factor based on the three-dimensional stress field at the crack tip［J］.Journal of Aerospace Power,2016,31(6):1417-1426.(in Chinese)
[4]	BUECKNER H F.A novel principle for the computation of stress intensity factors［J］.Zeitschrift fuer Angewandte Mathematik and Mechanik,1970,50(9):529-546.
[5]	RICE J.Some remarks on elastic crack-tip stress field［J］.International Journal of Solids and Structures,1972,8(6):751-758.
[6]	MCCLUNG R C,LEE Y D,LIANG W,et al.Automated fatigue crack growth analysis of components［J］.Procedia Engineering,2010,2(1):629-637.
[7]	Southwest Research Institute.DARWIN?倕 theory［R］.San Antonio,US：Southwest Research Institute,Design Assessment of Reliability with Inspection,2008.
[8]	NEWMAN J C,Jr.,RAJU I S.Stress-intensity factor equations for cracks in three-dimensional finite bodies subjected to tension and bending loads［R］.NASA TM-85793,1986.
[9]	贾旭,胡绪腾,宋迎东,等.三维矩形板1/4椭圆角裂纹的通用权函数［J］.航空动力学报,2015,30(10):2357-2367.JIA Xu,HU Xuteng,SONG Yingdong,et al.General weight functions for corner quarter-elliptical crack in three-dimensional rectangular plate［J］.Journal of Aerospace Power,2015,30(10):2357-2367.(in Chinese)
[10]	WU X R,CARLSSON A J.Weight functions and stress intensity factor solutions［M］.New York:Pergamon Press,1991.
[11]	NEWMAN J C,YAMADA Y,JAMES M A.Stress-intensity-factor equations for compact specimen subjected to concentrated forces［J］.Engineering Fracture Mechanics,2010,77(6):1025-1029.
[12]	PETROSKI H Y,ACHENBACH F D.Computation of the weight function from a stress intensity factor［J］.Engineering Fracture Mechanics,1978,10（2）:257-266.
[13]	GLINKA G,SHEN G.Universal features of weight functions for cracks in mode Ⅰ［J］.Engineering Fracture Mechanics,1991,40(6):1135-1146.
[14]	JAKUBCZAK H,GLINKA G.Calculation of stress intensity factors for cracks subjected to arbitrary non-linear stress fields［J］.European Structural Integrity Society,1999,25(3):261-274.
[15]	贾旭,胡绪腾,宋迎东.两种求解应力强度因子权函数方法的对比分析［J］.机械设计与制造,2014(9):7-10.JIA Xu,HU Xuteng,SONG Yingdong.Comparative analysis of two kinds of weight function methods for solving the stress intensity factors［J］.Machinery Design and Manufacture,2014(9):7-10.(in Chinese)
[16]	KICIAK A,GLINKA G,EMAN M.Weight functions for corner crack in finite thickness plate subjected to in-plane loading［J］.Engineering Fracture Mechanics,1998,60(2):221-238.
[17]	GLINKA G.Development of weight functions and computer integration procedures for calculating stress intensity factors around cracks subjected to complex stress fields［R］.Hamoton,US:Stress and Fatigue-Fracture Design Inc.,1996.
[18]	SHEN G,GLINKA G.Weight functions for a surface semi-elliptical crack in a finite thickness plate［J］.Theoretical and Applied Fracture Mechanics,1991,15（3）：247-255.
[19]	CHEN X,ALBRECHT P.Weight functions for eccentric cracks［M］∥LANDES J,MCCABE D,BOULET J.Fracture Mechanics.West Conshohocken,US:ASTM International,1994:581-581.