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新的估算表面裂纹应力强度因子经验公式 被引量:5

NEW EMPIRICAL STRESS-INTENSITY-FACTOR EQUATIONS FOR SURFACE CRACKS
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摘要 该文给出了新的估算拉伸和纯弯曲载荷下表面裂纹应力强度因子的经验公式。根据疲劳裂纹扩展的数值模拟结果确定强度因子分布函数;利用按已知应力强度因子分布函数求裂纹形状及相应应力强度因子的方法计算给定尺寸的表面裂纹的应力强度因子;通过对数值结果的曲线回归得到估算表面裂纹应力强度因子经验公式。利用该公式对有限厚度和宽度平板内表面裂纹的应力强度因子进行了估算,并与已知的半椭圆形表面裂纹的应力强度因子解进行了比较。该文结果为估算表面裂纹应力强度因子提供了一种新的途径。 This paper presents the new empirical formulas of stress-intensity-factor (SIF) for surface cracks due to tension and pure bending loads. A SIF distribution function is chosen based on the numerical results obtained by simulating the fatigue crack growth and the SIF and shape for a surface crack of given dimensions is obtained using the method. Such empirical formulas of SIF for surface cracks are obtained by curve fitting to the numerical results. Predictions of SIF for surface cracks in plates of finite width and thickness are made using the empirical formulas, and comparisons with the known solutions of semi-ellipse surface cracks are presented. The results obtained in this paper are considered to be an alternative to the evaluation of SIFs for surface cracks.
作者 顾乡 吴志学
出处 《工程力学》 EI CSCD 北大核心 2008年第7期35-39,共5页 Engineering Mechanics
基金 教育部高等学校重点学科建设项目(Y0102) 上海市重点学科建设项目(BB67)
关键词 线弹性断裂力学 应力强度因子 有限单元法 表面裂纹 疲劳裂纹扩展 linear elastic fracture mechanics stress intensity factor finite element method surface crock fatiguecrack growth
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参考文献11

  • 1Newman J C Jr, Raju I S. An empirical stress intensity factor equation for the surface crack [J]. Engng Fracture Mech, 1981, 15: 185-192.
  • 2Hosseini A, Mahmoud M A. Evaluation of stress intensity factor and fatigue growth of surface cracks in tension plates [J]. Engng Fracture Mech, 1985, 22: 957-974.
  • 3Mahmoud M A, Hosseini A. Assessment of stress intensity factor and aspect ratio variability of surface cracks in bending plates [J]. Engng Fracture Mech, 1986, 24: 207-221.
  • 4Lin X B, Smith R A. Finite element modeling of fatigue crack growth of surface cracked plates Part I: The numerical technique [J]. Engng Fract Mech, 1999, 63: 503-522.
  • 5Lin X B, Smith R A. Finite element modeling of fatigue crack growth of surface cracked plates Part Ⅱ: Crack shape change [J]. Engng Fract Mech, 1999, 63: 523-540.
  • 6Lin X B, Smith R A. Finite element modeling of fatigue crack growth of surface cracked plates Part Ⅲ: Stress intensity factor and fatigue crack growth life [J]. Engng Fract Mech, 1999, 63: 541-556.
  • 7吴志学.表面裂纹疲劳扩展的数值模拟[J].应用力学学报,2006,23(4):563-567. 被引量:13
  • 8吴志学.表面裂纹疲劳扩展的数值模拟(Ⅱ)[J].应用力学学报,2007,24(1):42-46. 被引量:12
  • 9吴志学.估算裂纹应力强度因子的新方法[J].力学学报,2006,38(3):414-420. 被引量:9
  • 10Schroedl M A, McGowan J J, Smith C W. Determination of the stress-intensity factor from photoelastic data with applications to surface-flaw problem [J]. Experimental Mechanics, 1974, 14(10): 392-399.

二级参考文献50

  • 1吴志学.表面裂纹疲劳扩展的数值模拟[J].应用力学学报,2006,23(4):563-567. 被引量:13
  • 2Newman Jr JC,Raju IS.An empirical stress intensity factor equation for the surface crack.Engng Fracture Mech,1981,15:185-192
  • 3Hosseini A,Mahmoud MA.Evaluation of stress intensity factor and fatigue growth of surface cracks in tension plates.Engng Fracture Mech,1985,22:957-974
  • 4Mahmoud MA,Hosseini A.Assessment of stress intensity factor and aspect ratio variability of surface cracks in bending plates.Engng Fracture Mech,1986,24:207-221
  • 5Hwang CG,Ingraffea AR.Shape prediction and stability analysis of Mode-Ⅰ planar cracks.Engng Fract Mech,2004,71:1751-1777
  • 6Lazarus V.Brittle fracture and fatigue propagation paths of 3D plane cracks under uniform remote tensile loading.Int J Fracture,2003,122:23-46
  • 7Sukumar N,Chopp DL,Moran B.Extended finite element method and fast marching method for three-dimensional fatigure crack propagation.Engng Fracture Mech,2003,70(1):29-48
  • 8Lin XB,Smith RA.Finite element modeling of fatigue crack growth of surface cracked plates Part Ⅰ:The numerical technique.Engng Fract Mech,1999,63:503-522
  • 9Lin XB,Smith RA.Finite element modeling of fatigue crack growth of surface cracked plates Part Ⅱ:Crack shape change.Engng Fract Mech,1999,63:523-540
  • 10Lin XB,Smith RA.Finite element modeling of fatigue crack growth of surface cracked plates Part Ⅲ:Stress intensity factor and fatigue crack growth life.Engng Fract Mech,1999,63:541-556

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