| Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip北大核心CSCD |
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| 引用本文： | 李煦,苏睿,张欢,翁倩茹,江晓禹.Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip北大核心CSCD[J].应用数学和力学,2022,43(12):1347-1358. |
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| 作者姓名： | 李煦 苏睿 张欢 翁倩茹 江晓禹 |
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| 作者单位： | 1.成都工业学院 智能制造学院，成都 610036 |
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| 基金项目： | 国家自然科学基金(51705041)；四川省应用基础研究重点项目(18YYJC) |
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| 摘 要： | 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. © 2022 Editorial Office of Applied Mathematics and Mechanics. All rights reserved.
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| 关 键 词： | 微裂纹群 主裂纹 微裂纹分布 损伤区 损伤参量 |
| 收稿时间： | 2021-11-02 |
Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip |
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| Li X.,Su R.,Zhang H.,Weng Q.,Jiang X..Influence of Multiple Micro Cracks on the Damage Behavior of a Macro-Crack Tip[J].Applied Mathematics and Mechanics,2022,43(12):1347-1358. |
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| Authors: | Li X Su R Zhang H Weng Q Jiang X |
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| Affiliation: | 1.School of Intelligent Manufacturing, Chengdu Technological University, Chengdu 610036, P.R.China2.School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610036, P.R.China |
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| 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. |
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| Keywords: | damage parameter damage zone macro-crack micro-crack micro-crack configuration |
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