Zhang Xi, Ye Yugong. Asymptotic Analysis of Plane-Strain ModeⅠSteady-State Crack Growth in Transformation Toughening Ceramics(Ⅱ)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 639-646.
Citation: Zhang Xi, Ye Yugong. Asymptotic Analysis of Plane-Strain ModeⅠSteady-State Crack Growth in Transformation Toughening Ceramics(Ⅱ)[J]. Applied Mathematics and Mechanics, 1997, 18(7): 639-646.

Asymptotic Analysis of Plane-Strain ModeⅠSteady-State Crack Growth in Transformation Toughening Ceramics(Ⅱ)

  • Received Date: 1996-04-17
  • Rev Recd Date: 1997-04-17
  • Publish Date: 1997-07-15
  • Based on a constitutive law which includes the shear components of transformation plasticity, the asymptotic solutions to near-tip fields of plane-strainmode I steadity propagating cracks in transformed ceramics are obtained for the case of linear isotropic hardening. The Stress singularity, the distributions of stresses and velocities at the crack tip are determmed for various material parameters. The factors influencing the near-tip fields are discussed in detail.
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  • [1]
    B.Budiansky ct al,Continuum theory of dilatant transformation toughening in ceramics,Int.J.Solids Struct.,1(1983),337-355.
    [2]
    I.W,Chen and P.E,Reyes-Morel,Implications of transformation plasticity in Zrocontain ceramics:I,shear and dilatation effects,J.Am,Cerom,Soc.,6(1986),181-189.
    [3]
    P,E,Reyas-morel and I,W,Chen,Transfor oration plasticity of Ce O-stabilized tetragonal zirconia polycrystals:I,stress assistance and autocatalysis,J,.Am,Ceram,Soc.,71 (1988),343-353.
    [4]
    黄克智等.具有体膨胀和剪切效应的结构陶瓷相变塑性细观本构模型:I.非比例加载,力学学报,23(3) (1991),299-308.
    [5]
    Y.G.Ye,et al.A computational modelling of transformation toughening in ceramics,Proc.of Asian Pacific Conf,on Fract.and Strength 93.Tsuchiura,Ibaraki,Japan (1993),671~676.
    [6]
    G.M.Stam.et al.Effects of transformation-induced shear strains on crack growth inzirconia-containing ceramics,Int.J.Solids Struct.,31 (1994),1923~1948.
    [7]
    F.Z.Li and J.Pan.Plane-strain crack-tip fields for pressure-sensitive dilatant materials,J.Appl.Mech.,5(1990),40~49.
    [8]
    D.Bigoni and E.Radi.Mode I crack propagation in elastic-plastic pressuresensitivematerials,Int.J.Solids Struct.,30 (1993).899~919.
    [9]
    X.Zhang and Y.G.Ye.Acta Mech.Solida Sinica,1(1995).
    [10]
    D.B.Marshall,et al.Crack-tip transformation zone in toughened zirconia,J.Am.Ceram.Soc.,73 (1990).2659~2666.
    [11]
    R.Narasimhan and A.J.Rosakis.Reexamination of jumps across quasi-staticallypropagating surtace under generalized plane stress in anisotropically hardingelastic-plastic solids.J.Appl.Mech..5(1987),519~524.
    [12]
    P.E.Ponte-Castanade.Asymptotic fields in steady crack growth with linearstrainharding,J.Mech.Phys.Solid.3(1987).227~268.
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