[1]朱海,许飞云,杨会超.基于近场动力学的二维疲劳裂纹扩展模型[J].东南大学学报(自然科学版),2020,50(4):705-711.[doi:10.3969/j.issn.1001-0505.2020.04.015]
　Zhu Hai,Xu Feiyun,Yang Huichao.Two-dimensional fatigue crack propagation model based on peridynamics[J].Journal of Southeast University (Natural Science Edition),2020,50(4):705-711.[doi:10.3969/j.issn.1001-0505.2020.04.015]
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基于近场动力学的二维疲劳裂纹扩展模型()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
50
期数:
2020年第4期
页码:
705-711
栏目:
数学、物理学、力学
出版日期:
2020-07-20

文章信息/Info

Title:
Two-dimensional fatigue crack propagation model based on peridynamics
作者:
朱海; 许飞云; 杨会超
东南大学机械工程学院, 南京 211189
Author(s):
Zhu Hai;  Xu Feiyun;  Yang Huichao
School of Mechanical Engineering, Southeast University, Nanjing 211189, China
关键词:
二维疲劳裂纹;  普通态基近场动力学;  裂纹扩展;  疲劳模型
Keywords:
two-dimensional fatigue crack;  ordinary state-based peridynamics;  crack propagation;  fatigue model
分类号:
O346.2
DOI:
10.3969/j.issn.1001-0505.2020.04.015
摘要:
为模拟二维疲劳裂纹的扩展,建立了一种基于普通态基近场动力学的疲劳裂纹扩展模型.首先,在普通态基近场动力学模型的基础上,利用动态松弛算法得到最大循环载荷下键的应变值,并通过计算物质点的平均键应变值确定裂纹尖端位置及损伤区域.然后,在模拟过程中设置循环断键数,当损伤区域内的断键数达到循环断键数时,更新键的应变值并进行下一轮运算.最后,分别通过模拟紧凑拉伸试样和中心斜裂纹板的疲劳裂纹扩展来验证模型的有效性.结果表明,设置合适的循环断键数后,模型计算效率得到提高,且能获得精细的裂纹扩展路径和准确的裂纹扩展速率,所得裂纹扩展路径及a-N曲线均与试验结果一致.
Abstract:
To simulate the propagation of two-dimensional fatigue crack, a fatigue crack propagation model based on ordinary state-based peridynamics was established. First, based on the ordinary state-based peridynamics model, the bond strain values under the maximum cyclic load were obtained by the dynamic relaxation algorithm, and the position of the crack tip and the damage area were determined by calculating the average bond strain values at material points. Then, during the simulation the number of cyclic broken bonds was set. When the number of broken bonds in damage area reached the number of cyclic broken bonds, the bond strain values were updated and the next step of the calculation was performed. Finally, the fatigue crack propagations of the compact tensile specimen and the plate with central inclined crack were simulated to verify the effectiveness of the model. The results show that with an appropriate number of cyclic broken bonds, the computational efficiency of the model can be improved, and the meticulous crack propagation path and the accurate crack growth rate can be obtained. The crack propagation path and the a-N curve agree with the experimental results.

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备注/Memo

备注/Memo:
收稿日期: 2019-11-18.
作者简介: 朱海(1994—),男,硕士生;许飞云(联系人),男,博士,教授,博士生导师,fyxu@seu.edu.cn.
基金项目: 国家自然科学基金资助项目(51575101).
引用本文: 朱海,许飞云,杨会超.基于近场动力学的二维疲劳裂纹扩展模型[J].东南大学学报(自然科学版),2020,50(4):705-711. DOI:10.3969/j.issn.1001-0505.2020.04.015.
更新日期/Last Update: 2020-07-20