Zhao Minghao, Cheng Changjun, Liu Yuanjie, Liu Guoning. The Method of Analysis of Crack Problem in Three-Dimensional Non-Local Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(5): 445-451.
Citation: Zhao Minghao, Cheng Changjun, Liu Yuanjie, Liu Guoning. The Method of Analysis of Crack Problem in Three-Dimensional Non-Local Elasticity[J]. Applied Mathematics and Mechanics, 1999, 20(5): 445-451.

The Method of Analysis of Crack Problem in Three-Dimensional Non-Local Elasticity

  • Received Date: 1988-01-23
  • Rev Recd Date: 1999-01-23
  • Publish Date: 1999-05-15
  • In this paper,the displacement discontinuity fundamental solution(DDFS) corresponding to the unit concentrated displacement discontinuity for three dimensional(3D) non-local elasticity under symmetrical condition is obtained.Based on the displacement discontinuity boundary integral-equation(DDBIE) and boundary-element method(DDBEM)of local(classical) elasticity,a method of analysis of crack in 3D non-local elasticity with a generalized application is proposed with the DDFS. By use of the method,several important problems of fracture mechanics are analysed.
  • loading
  • [1]
    Edelen D G B.In:Eringen A C ed.Nonlocal Field Theories in Continuum Physics,Ⅳ[C].New York:Academic Press,1976.
    [2]
    Eringen A C.Nonlocal Polar Field Theories[M].New York:Academic Press,1976.
    [3]
    Eringen A C,Speziale C G,Kim B S.Cracktip problem in nonlocal elasticity[J].J Mechanics and Physics of Solids,1977,25(5):339~355.
    [4]
    Eringen A C.Line crack subject to shear[J].Int J Fracture,1978,14(4):367~379.
    [5]
    Eringen A C.Line crack subject to antiplane shear[J].Engng Fract Mech,1979,12(2):211~219.
    [6]
    Ilcewicz L,Narasimhan M,Wilson J.An experimental verification of nonlocal fracture criterion[J].Engng fracture Mech,1981,14(4):801~808.
    [7]
    Ramabraham B,Rao M P.Line crack in an elastic plate subject to varying internal pressure in nonlocal elasticity[J].Indian J Pure Appl Math,1985,16(6):661~672.
    [8]
    程品三.脆性断裂的非局部力学理论[J].力学学报,1992,24(3):329~672
    [9]
    虞吉林,郑哲敏.一种非局部弹塑性连续体模型与裂纹尖端附近的应力分布[J].力学学报,1984,16(5):487~494.
    [10]
    赵明,程昌钧,刘国宁等.裂纹问题的非局部弹性力学分析[J].应用数学和力学,1999,20(2):135~143.
    [11]
    高键,戴天民.用非局部弹性场研究圆盘裂纹问题[J].固体力学学报,1989,10(4):289~309.
    [12]
    Zhao Minghao(赵明),Liu Yuanjie(刘元杰),Cheng Changjun(程昌钧).Boundary integral equation and the boundary element method for three dimensional fracture mechanics[J].Engng Analysis with Boundary Elements,1994,13(4):333~338.
    [13]
    Eringen A C.Edge dislocation in nonlocal elasticity[J].Int J Engng Sci,1977,15(3):177~183.
    [14]
    Sneddon I N.Fourier Transforms[M].New York:McGraw-Hill,1951.
    [15]
    Gradshteyn I S,Ryzhik I M.Table of Integrals,Series and Products[M].New York:Academic Press,1965.
    [16]
    Brebbia C A,Walker S.Boundary Element Techniques in Engineering[M].London:Butterworths,1980.
    [17]
    王锐.非局部弹性理论中的混合边值问题[J].科学通报,1989,34(6):412~414.
  • 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 (2064) PDF downloads(635) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return