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工程结构三维疲劳裂纹最大应力强度因子计算
引用本文:瞿伟廉,鲁丽君,李明.工程结构三维疲劳裂纹最大应力强度因子计算[J].地震工程与工程振动,2007,27(6):58-63.
作者姓名:瞿伟廉  鲁丽君  李明
作者单位:1. 武汉理工大学,道路桥梁与结构工程湖北省重点实验室,湖北,武汉,430070
2. 淄博市规划设计研究院,山东,淄博,255037
基金项目:国家自然科学基金项目(50678142)
摘    要:介绍了裂纹的类型、裂纹尖端应力场的奇异性。以一维问题为例,推导论证了奇异单元能够很好的反映裂纹尖端应力场的奇异性。应力强度因子一般表达式表明应力强度因子与载荷呈线性关系,并依赖于物体和裂纹的几何形状和尺寸。本文借助大型通用有限元软件ANSYS,采用位移外插法计算了三维表面裂纹前沿不同位置处的应力强度因子,并与《应力强度因子手册》基于实验的理论公式计算结果相比较。结果表明:有限元结果与理论解误差较小,裂纹最深处应力强度因子最大。

关 键 词:三维裂纹  奇异性  应力强度因子  有限元法
文章编号:1000-1301(2007)06-0058-06
收稿时间:2007-09-10
修稿时间:2007-10-20

Calculation of the maximum stress intensity factor of 3-D fatigue crack in engineering structures
QU Weilian,LU Lijun,LI Ming.Calculation of the maximum stress intensity factor of 3-D fatigue crack in engineering structures[J].Earthquake Engineering and Engineering Vibration,2007,27(6):58-63.
Authors:QU Weilian  LU Lijun  LI Ming
Abstract:This paper introduces the type of cracks and the singularity of stress filed at crack tip.Taking a border as an example,this paper demonstrates that the singular element can reflect the singularity of crack tip well.The conventional formula of stress intensity factor shows that the stress intensity factor is linear with loads and depends on the shape and size of structure and crack.In virtue of large general finite element software,the stress intensity factors along 3-D crack front are calculated with displacement interpolation method.Besides,the analytical solutions are compared with theoretic solutions in stress intensity factor handbook.The result shows that the error between these two solutions is quite small and the maximum stress intensity factor occurs at the deepest position of the crack.
Keywords:3-D crack  singularity  stress intensity factor  finite element method
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