Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip

LI Xu; SU Rui; ZHANG Huan; WENG Qianru; JIANG Xiaoyu

doi:10.21656/1000-0887.420333

Volume 43 Issue 12

Dec. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(12): 1347-1358

LI Xu, SU Rui, ZHANG Huan, WENG Qianru, JIANG Xiaoyu. Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip[J]. Applied Mathematics and Mechanics, 2022, 43(12): 1347-1358. doi: 10.21656/1000-0887.420333

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Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip

doi: 10.21656/1000-0887.420333

LI Xu^1
,,
SU Rui¹,
ZHANG Huan¹,
WENG Qianru¹,
JIANG Xiaoyu^{2
,
,}

1.
School of Intelligent Manufacturing, Chengdu Technological University, Chengdu 610036, P.R.China
2.
School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610036, P.R.China

Received Date: 2021-11-02
Accepted Date: 2022-04-16
Rev Recd Date: 2022-04-16

Available Online: 2022-10-27

Publish Date: 2022-12-01

Abstract

Abstract

The solution of an infinite plane containing a macro crack and a cluster of micro cracks under uniaxial tensile load was presented based on Muskhelishvili’s complex function method and the stepwise recursive method. The stress field and stress intensity factor K were obtained. Combined with the damage mechanics, damage parameter D of the macro-crack tip and the micro-crack tip under uniaxial tension was redefined, and the influence of different damage zone forms on the damage of the crack tip was analyzed. The results show that, both the chain-distribution and the reverse-chain-distribution micro cracks have an amplifying effect on the macro crack growth, and the damage parameter increases with the decrease of the inclination angle of the micro crack and the reduction of the distance between the macro crack and the micro cracks. For a relatively small inclination angle of the micro crack, the damage parameters of the macro crack and the micro crack heightens, and the damage parameter of the macro crack increases with the micro-crack length. For evenly distributed micro cracks in the continuous damage zone, the micro cracks have an amplifying effect on the macro-crack growth, and the damage parameter of the macro crack increases with the micro-crack number.
- micro-crack,
- macro-crack,
- micro-crack configuration,
- damage zone,
- damage parameter

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References(24)

References

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