Zhao Xing-hua, . Curve Cracks Lylng along a Parabolic Curve in Anisotropic Body Hu Yuan-tai[J]. Applied Mathematics and Mechanics, 1995, 16(2): 107-116.
Citation: Zhao Xing-hua, . Curve Cracks Lylng along a Parabolic Curve in Anisotropic Body Hu Yuan-tai[J]. Applied Mathematics and Mechanics, 1995, 16(2): 107-116.

Curve Cracks Lylng along a Parabolic Curve in Anisotropic Body Hu Yuan-tai

  • Received Date: 1994-01-15
  • Publish Date: 1995-02-15
  • A general solutions for the stress and displacement of curve cracks distributing along a parabolic curve Ω in an infinite homogeneous anisotropic medium subjected tounifrom loading a infinity have been given in this paper by using the Stroh's formalism and the mapping method.The solutions are valid not only for plane problems but also for antiplane problems and the problems whose inplane andantiplane deformations couple each other.A closed form solution for the stress and dispacement in the entire domain is obtained for one curve crack or two curve cracks along the parabolic curve.The simple explicit form solution for the stress intensity factors and the crack opening displacement are presented.
  • loading
  • [1]
    Hwu,C.and T.C.T.Ting,Two-dimensional problems of the anisotropic elastic solid with an elliptic inclusion,Quart J.Mech.Appl.Math.,42(1989),553-572.
    [2]
    Eshelby.J.D.,W.T.Read and W.Shockley,Anisotropic elasticity with applications to dislocation theory,Acta Metal,1(1953),251-259.
    [3]
    Hwu,C.and W.J.Yen,Green's functions of two-dimensional anisotropic plates containing an elliptic hole,Internal.J.Solids Structures,27(1991),1705-1791.
    [4]
    Stroh,.A.N,Dislocations and cracks in anisotropic elasticity,Phil.Mag.,3(1958),625-646.
    [5]
    Chadwick,P.and G.D.Smith,Foundations of the theory of surface waves in anisotropic elastic materials,Adv.Appl.Mech.,17(1977),303-376.
    [6]
    Hwu,C.,Collinear cracks in anisotropic bodies,Internat.J.Fracture,52(1991),239-256.
    [7]
    钱伟长、叶开沉,《弹性力学》,科学出版社(1980)
    [8]
    徐芝纶,《弹性力学》,高等教育出版社(1985)
    [9]
    Lekhnitskii,S.G.,Theory of Elasticity of Anisotropic Body.MIR Moscow(1980).
    [10]
    Stroh,A.N.,Steady-state problems in anisotropic elasticity,J.Math.Phys.,41(1962),77-103.
    [11]
    Sih,G.C.P.C.Paris and G.R.Irwin.Cohlinear cracks.Int.J.Fracture Mech.1(1965).189-203.
  • 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 (1901) PDF downloads(726) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return