裂纹与弹性夹杂的相互影响<sup>*</sup>

裂纹与弹性夹杂的相互影响^*

基金项目: * 国家自然科学基金;国家博士点基金

摘要: 本文利用无限域上单根弹性夹杂和单根裂纹产生的位移和应力,将裂纹与弹性夹杂的相互影响问题归为解一组柯西型奇异积分方程,然后用此对夹杂分枝裂纹解答的奇性性态作了理论分析,并求得了振荡奇性界面应力场,对于不相交的夹杂裂纹问题,具体计算了端点的应力强度因子及夹杂上的界面应力,结果令人满意。
- 夹杂与裂纹 /
- 夹杂分枝裂纹 /
- 应力强度因子 /
- 界面应力
Abstract: By using the basic displacements and stresses caused by a single elastic inclusion and a single crack on infinite plane,the interaction problem between a crack and anelastic inclusion is reduced io solve a set of Cauchy-type singular integral equation.Based on this result,the singular behaviour of the solution for the inclusion-branching crack is analysed theoretically and the oscillating singular interface stress field isobtained. For the separating inclusion-crack problem,the stress intensity factors at thetips and the interface stress of the inclusion are calculated and the results of which are satisfactory.
- inclusion and crack /
- inclusion-branching crack /
- stress intensityfactor /
- interface stress

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