Research progress of fatigue crack propagation method based on finite element technology
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摘要: 疲劳裂纹是引起工程结构断裂失效的重要因素之一. 目前疲劳裂纹扩展的有限元仿真商业软件有ANSYS、ABAQUS、FRANC3D、ZENCRACK等, 这些软件为疲劳裂纹扩展过程的研究提供了有力支撑. 本文对目前疲劳裂纹扩展的有限元仿真方法进行了综述. 阐明了疲劳裂纹的定义以及研究疲劳裂纹扩展行为的必要性; 介绍了三种用于模拟疲劳裂纹扩展的有限元方法: 扩展有限元法 (XFEM)、内聚力模型 (CZM) 和虚拟裂纹闭合技术 (VCCT); 分别总结了三种方法的基本理论和核心思想, 对三种方法的应用与发展进行了分类归纳; 最后对三种有限元方法进行分析, 指出每种方法各自的优势及目前存在的局限性, 并对疲劳裂纹扩展有限元仿真技术的未来改进方向给出了建议.Abstract: Fatigue cracks are one of the important factors causing fracture and failure of engineering structures. At present, the commercial software for fatigue crack propagation finite element simulation includes ANSYS, ABAQUS, FRANC3D, ZENCRACK, etc., which provide strong support for the study of fatigue crack propagation process. The current finite element simulation methods for fatigue crack propagation are reviewed in this paper. The definition of fatigue crack and the necessity of studying fatigue crack propagation behavior are clarified. Three finite element methods for simulating fatigue crack propagation are introduced: Extended Finite Element Method(XFEM), Cohesive Zone Model (CZM) and Virtual Crack Closure Technique (VCCT). The basic theories and core ideas of the three methods were summarized, and the application as well as development of the three methods were classified and summarized. Finally, the three finite element methods are analyzed, the advantages and limitations of each method are pointed out, and suggestions are given for the future improvement of the finite element simulation technology for fatigue crack propagation.
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图 1 飞机机体上的疲劳裂纹 (Barter & Molent 2013)
图 5 (a)含孔洞和夹杂物的中心裂纹疲劳寿命图, (b)含孔洞、夹杂物和小裂纹的中心裂纹疲劳寿命图 (Singh et al. 2012)
图 6 XFEM对径向井疲劳裂纹扩展仿真结果与实验结果的比较(Li et al. 2018)
图 7 XFEM模拟应变场与DIC应变场的比较(Radeef et al. 2022)
图 8 高阶尖端富集函数节点(Zamani et al. 2012)
图 9 通常用于裂纹前端富集的四种分支函数(Loehnert et al. 2011)
图 10 三维弹塑性离轴单向层合板的边值模型(Higuchi et al. 2017)
图 14 核石墨压裂过程的能量转换(Tang et al. 2021)
图 17 DCB试件的有限元模型(Teimouri et al. 2021)
表 1 三种有限元方法的特点
有限元方法 优势 局限性 XFEM 1.无需重划网格
2.可以模拟任意方向路径
3.可以解决不连续几何问题
4.具有较好的精度和收敛性1.富集函数收敛耗时较长
2.模拟复杂多个裂纹尚存在局限性
3.计算精度较低CZM 1.使用方便简单
2.计算时间较少
3.计算结果精度较高1.网格敏感性
2.需要提前确定裂纹路径
3.需要预制裂纹VCCT 1. 使用方便简单
2.准确计算应变能释放率1.网格敏感性
2.需要提前确定裂纹路径
3.需要预制裂纹
4.计算时间较长
5.计算精度较低
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