WANG Yin-bang. The Problem of an External Circular Crack Under Asymmetric Loadings[J]. Applied Mathematics and Mechanics, 2001, 22(1): 9-15.
Citation: WANG Yin-bang. The Problem of an External Circular Crack Under Asymmetric Loadings[J]. Applied Mathematics and Mechanics, 2001, 22(1): 9-15.

The Problem of an External Circular Crack Under Asymmetric Loadings

  • Received Date: 2000-03-21
  • Rev Recd Date: 2000-09-23
  • Publish Date: 2001-01-15
  • Using the boundary integral equation method,the problem of an external circular crack in a three-dimensional infinite elastic body under asymmetric loadings is investigated.The two-dimen-sional singular boundary integral equations of the problem were reduced to a system of Abel integral equations by means of Fourier series and hyper geometric functions.The exact solutions of stress intensity factors are obtained for the problem of an external circular crack under asymmetric loadings, which are even more universal than the results obtained by the use of Hankel transform method.The results demonstrate that the boundary integral equation method has great potential as a new analytic method.
  • loading
  • [1]
    Snyder M D, Cruse T A. Boundary integral equati on analysis of cracked anisotropic plates[J]. Int J Fract,1975,11(2):315-328.
    [2]
    Crouch S L. Solution of plane elasticity problems by the displacement discontinuity method[J]. Int J Numer Meth Eng,1976,10 (2):301-343.
    [3]
    Blandford G E, Ingraffea A R, Liggett J A. Two-dimensional stress intensity factor computations using the boundary element method[J]. Int J Numer Meth Eng,1981,17(2):387-404.
    [4]
    Portela A, Aliabadi M H, Rooke D P. The dual boundary element method: effective implementation for crack problems[J]. Int J Numer Meth Eng,1 992,33(6):1269-1287.
    [5]
    Bui H D. An integral equations method for solving the problem of a plane crack of arbitrary shape[J]. J Mech Phys Solids,1977,25(1):29-39.
    [6]
    Weaver J. Three-dimensional crack analysis[J]. Int J Solids Structures,1977,13(4):321-330.
    [7]
    WANG Yin-bang. A new boundary integral equation method of three-dimensional crack analysis[J]. Int J Fract,1993,63(4):317-328.
    [8]
    WANG Yin-bang, CHEN Wei-jiang. Interaction of two equal coplanar square cracks in three-dimensional elasticity[J]. Int J Solids Structures,1993,30(23):3315-3320.
    [9]
    WANG Yin-bang, Chau K T. A new boundary element method for plane elastic problems involving cracks and holes[J]. Int J Fract,1997,87(1):1-20.
    [10]
    王银邦. 外部圆形裂纹轴对称问题的边界积分方程解法[J]. 兰州大学学报,1993,29(1):19-24.
    [11]
    王银邦. 双弹性材料界面裂纹平面问题的边界积分程解法[J]. 兰州大学学报,1995,31(1):14-21.
    [12]
    王银邦,王海峰. 圆形裂纹分析的边界积分方程方法[J]. 兰州大学学报,1997,33(1):33-38.
    [13]
    Chau K T, WANG Yin-bang. A new boundary integral formulation for plane elastic bodies containing cracks and holes[J]. Int J Solids Structures,1999,36(14):2041-2074.
    [14]
    Chau K T, WANG Yin-bang. Singularity analysis and boundary integral equation method for frictional crack problems in two-dimensional elasticity[J]. Int J Fracture,1998,90(3):251-274.
    [15]
    Kassir M K, Sih G C. Three Dimensional Crack Problems[M]. Leyden: Noordhoff International Publishing,1975.
    [16]
    Kupradze V D. Three-Dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity[M]. Amsterdam: North-Holland Publishing Company,1979.
    [17]
    Gradshteyn I S, Ryzhik I M. Table of Integrals Series and Products[M]. New York: Academic Press,1980
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (2360) PDF downloads(541) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return