Effects of Circular Inhomogeneity on Crack Propagation

XING Shuaibing; WANG Qiangsheng; SHENG Yue; JIANG Xiaoyu

doi:10.21656/1000-0887.390136

Volume 40 Issue 2

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Article Navigation > Applied Mathematics and Mechanics > 2019 > 40(2): 189-199

XING Shuaibing, WANG Qiangsheng, SHENG Yue, JIANG Xiaoyu. Effects of Circular Inhomogeneity on Crack Propagation[J]. Applied Mathematics and Mechanics, 2019, 40(2): 189-199. doi: 10.21656/1000-0887.390136

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Effects of Circular Inhomogeneity on Crack Propagation

doi: 10.21656/1000-0887.390136

School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, P.R.China

Funds: The National Natural Science Foundation of China（11472230）

Received Date: 2018-05-02
Rev Recd Date: 2018-05-17
Publish Date: 2019-02-01

Abstract

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°.
- inhomogeneity,
- crack,
- distributed dislocation technique,
- crack propagation

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References(29)

References

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