## 留言板

 引用本文: 张浠, 叶裕恭. 相变增韧陶瓷平面应变Ⅰ型定常扩展裂纹的渐近分析(Ⅱ)*[J]. 应用数学和力学, 1997, 18(7): 639-646.
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)

• 摘要: 本文采用一种考虑相交剪切变形的陶瓷材料本构关系,对平面应变Ⅰ型定常扩展裂纹尖端场进行渐近分析.给出了裂纹尖端附近环形域内的应力、速率分布以及应力奇异性指数.对不同材料参数下的变化规律进行了详细的分析和讨论.
•  [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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##### 出版历程
• 收稿日期:  1996-04-17
• 修回日期:  1997-04-17
• 刊出日期:  1997-07-15

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