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具有抛物线边界的各向异性体的二维变形问题

胡元太 赵兴华

胡元太, 赵兴华. 具有抛物线边界的各向异性体的二维变形问题[J]. 应用数学和力学, 1994, 15(10): 863-871.
引用本文: 胡元太, 赵兴华. 具有抛物线边界的各向异性体的二维变形问题[J]. 应用数学和力学, 1994, 15(10): 863-871.
Hu Yuan-tai, Zhao Xing-hua. Two-Dimensional Deformation of an Anisotropic Elastic Body with a Parabolic Boundary[J]. Applied Mathematics and Mechanics, 1994, 15(10): 863-871.
Citation: Hu Yuan-tai, Zhao Xing-hua. Two-Dimensional Deformation of an Anisotropic Elastic Body with a Parabolic Boundary[J]. Applied Mathematics and Mechanics, 1994, 15(10): 863-871.

具有抛物线边界的各向异性体的二维变形问题

Two-Dimensional Deformation of an Anisotropic Elastic Body with a Parabolic Boundary

  • 摘要: 文章通过Lekhnitskii方法及映射函数法系统地研究了具有抛物线边界的各向异性体的二维变形问题,并利用所获得的结果研究了一种特殊的结构--半无限裂纹问题,求得了裂纹尖端的应力奇异场及应力强度因子。
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    [2] 徐芝纶,《弹性力学》,科学出版社(1985).
    [3] Eshelby,J.D.,W.T.Read and W.Shoekley,Anisotropie elasticity with applications to dislocation theory,Acta Metal,1(1953),251-259.
    [4] Stroh,A.N.,Dislocations and cracks in anisotropie elasticity.Phys.Mag.3(1985).625-646.
    [5] Stroh,A.N.,Steady-state problems in anisotropic elasticity,J.Math.Phys,41(1962).77-103.
    [6] Barnett,D.M.and J.Lothe,An image force theorem for dislocations in anisotropir bicrystals,J.Phys.F.,4(1974),1618-1635.
    [7] Barnett.D.M.,and J.Lothe,K.Nishioka and R.J.Asaro,Elastic surface wines in anisotropic crystals:a simplified method for calculating Rayleigh velocities using dislocation theory,J.Phys.F.,3(1973),1083-1096.
    [8] Lothe,J.and D.M.Barnett,On the existence of surface-wave solutions for anisotropic elastic half-spaces with free surface.J.Appl.Phys.,47(1976).428-433.
    [9] Asaro,R.J.,and J.P.Hirth,D.M.Barnett and J.Lothe.The elastic energy of a straight dislocation in an infinite anisotropoic elastic medium.Phys.Stat.Sol.B.60(1973),261-271.
    [10] Lekhnitskii,S.G.,Theory of Elasticity of Anisotropic Body,MIR,Moscow(1981).
    [11] Wang,S,S,and I.Choi.Boundary layer thermal stress in angle-ply composite laminates Modern Developments in Composite Materials and Structures,ASME,Edited by 7.R.Virstor(1979),315-341.
    [12] Sih,G.C,and H.Liebowitz,Mathematical theory of Brittle fracture,in An Advanced Treatise on Fracture,Ed,H,Liebowitz,Academic Ptess(1988).67-190.
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出版历程
  • 收稿日期:  1993-11-22
  • 刊出日期:  1994-10-15

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