Qian Jun, Norio Hasebe. A Crack Emanating from the Tip of Bonded Dissimilar Materials[J]. Applied Mathematics and Mechanics, 1998, 19(5): 431-445.
Citation: Qian Jun, Norio Hasebe. A Crack Emanating from the Tip of Bonded Dissimilar Materials[J]. Applied Mathematics and Mechanics, 1998, 19(5): 431-445.

A Crack Emanating from the Tip of Bonded Dissimilar Materials

  • Received Date: 1996-06-26
  • Rev Recd Date: 1997-05-16
  • Publish Date: 1998-05-15
  • A crack is assumed to emanate from the tip of bonded dissimilar materials with the crack on the bisector of one of the bonded wedges.The problem is firstly divided into symmetric and anti-symmetric modes according to the characteristics of the local geometry.By eigenexpansion method,the eigenequations for the two modes are derived,respectively,and the corresponding eigenvalues are obtained with different ratios of dissimilar material constants and angles of the wedges.The singularity of the crack is then analyzed by the eigenvalues that are less then one.The fields of displacement and stress in the vicinity of the tip of the crack are finally derived in an explicit form.
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  • [1]
    D.B.Bogy and K.C.Wang,Stress singularities at interface corners in bonded dissimilar isotropic elastic materials,Int J.Solids Structures,7(1971),993-1005.
    [2]
    W.C.Carpenter and C.Byers,Apath independent integral for computing stress intensities for V-notched cracks in a bi-material,Int.J.Fract.,35(1987),245-268.
    [3]
    D.H.Chen and H.Nisitani,Singular stress field near the corner of jointed dissimilar materials, Journal of Applied Mechanics,60(1993),607-613.
    [4]
    D.H.Chen,Acrack normal to and terminating at a bimaterial interface,Engineering Fracture Mechanics,49(1994),517-532.
    [5]
    D.H.Chen,Analysis of singular stress field around the inclined cornertip,Engineering Fracture Mechanics,49(4)(1994),533-546.
    [6]
    J.P.Dempsey and G.H.Sinclair,On the stress singularities in the plane elasticity of the composite wedge,J.Elasticity,9(1979),373-391.
    [7]
    D.N.Fenner,Stress singularities in composite materials with an arbitrarity oriented crack meeting an interface,Int.J.of Fracture,12(1976),705-721.
    [8]
    N.I.Muskhelishvili,Some Basic Problems of Mathematical Theory of Elasticity,4th Ed.,Noordhoff,The Netherlands,(1963).
    [9]
    W.C.Wang and J.T.Chen,Singularities of an arbitrarily inclined semi-infinite crack meeting a bimaterial interface,Engineering Fracture Mechanics,49(5)(1994),671-680.
    [10]
    M.L.Wiliams,Stress singularities resulting from various boundary conditions in angular corners of plates in extension,Journal of Applied Mechanics,19(1952),526-528.
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