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论文:2012,Vol:30,Issue(4):508-512 |
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引用本文： |
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薛小锋, 冯蕴雯, 冯元生. 基于随机有限元法的平面多裂纹结构可靠性研究[J]. 西北工业大学 |
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Xue Xiaofeng, Feng Yunwen, Feng Yuansheng. Exploring Theoretically Reliability of Multiple-Crack Structure by Applying Taylor Stochastic Finite Element Method(TSFEM)[J]. Northwestern polytechnical university |
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| 基于随机有限元法的平面多裂纹结构可靠性研究 |
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| 薛小锋, 冯蕴雯, 冯元生 |
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| 西北工业大学 航空学院,陕西 西安 710072 |
| 摘要: |
| 在考虑材料参数、裂纹长度、外载分散性的前提下,文章首先用一般六节点单元和六节点奇异等参单元建立了平面裂纹的有限元模型,用Taylor展开随机有限元方法分析了平面裂纹应力强度因子分散性。在考虑多裂纹结构的断裂韧性和应力强度因子服从对数正态分布的基础上,结合可靠性分析中的应力强度干涉模型和二阶窄边界理论,建立了多裂纹结构的裂纹失稳扩展可靠性模型。当结构处于平面应变状态时,极限应力强度因子可以直接采用材料断裂韧性,当结构的厚度不能满足平面应变状态要求时,必须将材料平面应变断裂韧性转换为能适用的极限应力强度因子;对于各裂纹的应力强度因子及其分散性,可以通过随机有限元方法计算得到。 |
| 关键词:
多裂纹
可靠性模型
应力强度因子
随机有限元
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| Exploring Theoretically Reliability of Multiple-Crack Structure by Applying Taylor Stochastic Finite Element Method(TSFEM) |
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| Xue Xiaofeng, Feng Yunwen, Feng Yuansheng |
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| College of Aeronautics,Northwestern Polytechnical University,Xi'an 710072,China |
| Abstract: |
| Sections 1 through 3 of the full paper explain our theoretical exploration mentioned in the title，whosecore consists of: (1) TSFEM is applied to analyzing the uncertainty of plane multiple-crack stress intensity factor(SIF) through considering the uncertainties of material properties，crack lengths，and load; (2) stochastic finiteelement model of plane multiple-crack is presented; considering the lognormal distribution of fracture toughness andstress intensity factor，the transient propagation reliability model of multiple-crack structure is developed，includingstress strength reliability interference model and secondary narrow boundary theory; (3) the ultimate stress intensityfactor is the fracture toughness for the plane strain mode; when the panel thickness is not large enough for using theplane strain assumption，the plane strain fracture toughness should be transformed to available ultimate stress inten-sity factor; (4)the mean and uncertainty of stress intensity factor can be calculated by the TSFEM. Section 4 givesconcluding remarks consisting of three parts. |
| Key words:
computational complexity
computational geometry
crack propagation
elastoplasticity
finite elementmethod
fracture toughness
mathematical models
probability
reliability
schematic diagrams
stressintensity factors
two dimensional;multiple-crack
Taylor stochastic finite element method(TSFEM)
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| 收稿日期: 2011-09-20
修回日期:
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| DOI: |
| 基金项目: 国家自然科学基金(10577015)资助 |
| 通讯作者:
Email： |
| 作者简介: 薛小锋(1982-),西北工业大学讲师,主要从事飞行器结构可靠性分析与设计研究。
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参考文献: |
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