Effects of Circular Inhomogeneity on Crack Propagation
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摘要: 在单轴拉伸载荷作用下,运用分布位错方法对无限大平面内含有一个裂纹和一个任意方向的杂质问题进行求解,得到了裂纹尖端的应力强度因子、应力场以及应变能密度.利用最小应变能密度因子准则来判断裂纹扩展方向.结果显示:软杂质对裂纹尖端应力强度因子、应变能密度和应力场有增强作用,而硬杂质则具有屏蔽作用.在 -30°<θ<30°范围内,杂质对裂纹扩展方向的影响较小,而在 -90°<θ<-30°或30°<θ<90°范围内,杂质对裂纹扩展方向的影响较大.软杂质对裂纹扩展有吸引作用,而硬杂质具有排斥作用.Abstract: The solution of an infinite plane containing a crack and an arbitrarily oriented inhomogeneity under uniaxial tensile load was presented based on the distributed dislocation technique. The stress field and the strain energy density were obtained. The crack propagation direction was predicted according to the minimum strain energy density criterion. The results show that, the soft inhomogeneity has an amplifying effect on the stress intensity factor, the strain energy density and the stress field near the crack tip, while the hard inhomogeneity has a shielding effect. The effect of the inhomogeneity on the crack propagation direction increases with the decreasing distance, the increasing absolute value of lg(μ2/μ1), and the increasing inhomogeneity radius. The inhomogeneity has a little effect on the crack propagation direction for -30°<θ<30°.The soft inhomogeneity has an attracting effect, while the hard inhomogeneity has a repulsing effect on the crack propagation for -90°<θ<-30°and 30°<θ<90°.
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Key words:
- inhomogeneity /
- crack /
- distributed dislocation technique /
- crack propagation
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