相变增韧陶瓷平面应变Ⅰ型定常扩展裂纹的渐近分析(Ⅱ)<sup>*</sup>

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)^*

张浠¹,
叶裕恭²

1.
核工业总公司中南工学院, 衡阳 421001;
2.
中国科学院力学研究所, 北京 100080

基金项目: * 国家自然科学基金

计量
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- 被引次数: 0
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

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

Zhang Xi¹,
Ye Yugong²

1.
Zhongnan Institute of Technology, Hengyang, Hunan 421001, P. R. China;
2.
Institute of Mechanics,Chinese Academy of Sciences, Beijing 100080, P. R. China

摘要

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.
- 相变增韧陶瓷 /
- 剪切效应 /
- 扩展裂纹 /
- 渐近解
Abstract: 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.
- transformation toughening ceramics /
- shear effect /
- crack growth /
- asymptotic method

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参考文献(12)

[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.