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分析表面裂纹的一种新方法

曾昭景 戴树和

曾昭景, 戴树和. 分析表面裂纹的一种新方法[J]. 应用数学和力学, 1993, 14(8): 747-752.
引用本文: 曾昭景, 戴树和. 分析表面裂纹的一种新方法[J]. 应用数学和力学, 1993, 14(8): 747-752.
Zeng Zhao-jing, Dai Shu-he. A New Method for Analyzing Surface Cracks[J]. Applied Mathematics and Mechanics, 1993, 14(8): 747-752.
Citation: Zeng Zhao-jing, Dai Shu-he. A New Method for Analyzing Surface Cracks[J]. Applied Mathematics and Mechanics, 1993, 14(8): 747-752.

分析表面裂纹的一种新方法

A New Method for Analyzing Surface Cracks

  • 摘要: 本文作者综合了线弹簧模型及边界元法的优点,开发了一种新的线弹簧边界元法.该方法把表面裂纹这一三维问题简化为拟一维问题,可用于分析受到多种载荷作用的含表面裂纹的板.本文对该方法进行了理论分析和数值验证,报告了计算结果.结果表明,该方法经济有效.利用该方法仅使用个人计算机就可以分析表面裂纹问题.
  • [1] Rice,J.K.and N.Levy,The part-through surface crack in an elastic plate,ASME Journal of Applied Mechanics,39(1972),185-194.
    [2] Delate,F.and F.Erdogan,Line-spring model for surface cracks in a Reissner plate,International Journal of Engineering and Science,19(1981),1331-1340.
    [3] Parks,D.M.,The inelastic line-spring for elastic-plastic fracture mechanics parameters for surface-cracked plates and shells,ASME Journal of Pressure Vessel Technology,103(1981),246-254.
    [4] Parks,D.M.and C.S.White,Elastic-plastic line-spring finite elements for surfacecracked plates and shells,ASME Journal of Pressure Vessel Technology,104(1982),287-292.
    [5] German,M.D.,V.Kumar and H.G.De Lorenzi,Analysis of surface cracks in plates and shells using the line-spring model and ADINA,Computers & Structures,17(1983),881-890.
    [6] Kumar,V.,M.D.German and B.I.Schumacher,An analysis of elastic surface cracks in cylinders using the line-spring model and the shell finite element method,ASME Journal of Pressure Vessel Technology,107(1985)403-411.
    [7] Miyoshi,T.,M.Shiratori and Y.Yoshida,Analysis of J-integral and crack growth for surface cracks by line-spring method,ASME Journal of Pressure Vessel Technology,108(1986),305-311.
    [8] De Langre,E.and L.Ebersolt,The use of a new line-spring shell element for elastic surface crack analysis,Fatigue and Fracture of Engineering Materials and Structures,10(1987),153-167.
    [9] 曾昭景,浅长型表面裂纹问题的理论与试验研究,南京化工学院博士学位论文(1990).
    [10] Rooke,D.P.and D.J.Cartwight,Compendium of Stress Intensity Factors,H.M.S.O.,London(1976).
    [11] Wang,Y.C.,et al.,SBEM for Reissner's plate and its application to foundation plate,Boundary Elements,IX,Ed.by C.A.Brebbia,Vol.2,Springer-Verlag(1987),111-125.
    [12] Brebbia,C.A.,The boundary Element Method for Engineers,Pentech Press,London(1987).
    [13] Raju,I.S.and J.C.Newman,Stress-intensity factors for a wide range of semi-elliptical surface cracks in finite thickness plates,Engineering Fracture Mechanics,11(1979),817-829.
    [14] 中国航空研究院,《应力强度因子手册》,科学出版社,北京(1981).
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出版历程
  • 收稿日期:  1992-07-24
  • 刊出日期:  1993-08-15

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