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相变增韧陶瓷平面应变Ⅰ型定常扩展裂纹的渐近分析(Ⅱ)
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.
【Abstract】 based on a constitutive law which includes the shear components of transformation plasticity, the asymptotic solutions to near-tip fields of plane-strain mode Ⅰ steadity propagating cracks in transformed ceramics are obtained for the case of linear isotropic hardening, The stress singularity, the distributions of stresses and velovities at the crack tip are determined for various material paramiters. The factors influencing the near-tip fields are discussed in detail.
【关键词】 相变增韧陶瓷;
剪切效应;
扩展裂纹;
渐近解;
【Key words】 transformation toughening ceramics; shear effect; crack growth, asymptotic method;
【Key words】 transformation toughening ceramics; shear effect; crack growth, asymptotic method;
【基金】 国家自然科学基金
- 【文献出处】 应用数学和力学 ,APPLIED MATHEMATICS AND MECHANICS , 编辑部邮箱 ,1997年07期
- 【分类号】O346
- 【下载频次】61