Ⅰ-Ⅱ复合型多裂纹板的应力强度因子分析

李爱民; 崔海涛; 温卫东

doi:10.13433/j.cnki.1003-8728.2015.0530

Ⅰ-Ⅱ复合型多裂纹板的应力强度因子分析

doi: 10.13433/j.cnki.1003-8728.2015.0530

1.
南京航空航天大学江苏省航空动力系统重点实验室, 南京 210016

基金项目:

江苏省普通高校研究生科研创新计划项目（CXZZ12_0170）与中央高校基本科研业务费专项资金资助

详细信息

作者简介:
李爱民（1986-），博士研究生，研究方向为结构强度、疲劳与断裂分析，liam@nuaa.edu.cn

通讯作者:
崔海涛，教授，博士生导师，cuiht@nuaa.edu.cn

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- 被引次数: 0
出版历程
- 收稿日期: 2013-08-19
- 刊出日期: 2015-05-05

Analyzing Stress Intensity Factors of a Plate with Multiple Mixed-mode Cracks

1.
Jiangsu Provincial Key Laboratory of Aerospace Power Systems, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

摘要

摘要: 利用有限元方法求解多裂纹板的应力强度因子，讨论了板的尺寸、裂纹长度比、裂纹间距比对应力强度因子的影响。通过单裂纹的数值解与解析解的对比，证明了有限元位移外推法求解应力强度因子的有效性。计算结果表明：两侧裂纹长度越小、离中心裂纹越远，对中心裂纹尖端应力强度因子的影响就越小；当板的尺寸W/a>8时可视为无限大平板，忽略板尺寸的影响；当L/b>9或h/b>6时，两侧裂纹对中心裂纹影响很小，可忽略裂纹之间的相互影响而分开考虑。
- 应力强度因子 /
- 复合型裂纹 /
- 位移外推法 /
- 有限元
Abstract: The paper obtains the stress intensity factors (SIF) of a plate with multiple mixed-mode cracks with the displacement extrapolation method and the finite element method, and studies in detail the effects of some parameters on the SIF, which include the length of rectangular plate, crack length, crack separation ratio. Comparing the simulation results with the analytical solutions, we demonstrate the feasibility of the displacement extrapolation method. The side crack of small size and the large crack separation ratio have little effect on the SIF of a central crack. It can be seen as an infinite plate when the length of rectangular plate is eight times larger than the crack length. The three cracks can be seen as a single crack separately when the horizontal distance L or vertical distance h is six times or nine times larger than the crack length b. The reason is that the interaction among multiple mixed-mode cracks can be ignored when L/b>9 or h/b>6.
- crack tips /
- displacement extrapolation method /
- finite element method /
- mixed-mode crack

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参考文献(12)

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