用于分析多裂纹扩展的先进快速多极双边界元方法

IF 4.7 2区 工程技术 Q1 MECHANICS
Cong Li , Bin Hu , Zhongrong Niu , Yan Meng
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引用次数: 0

摘要

本文开发了一种新的快速多极双边界元法(FMDBEM)来分析多裂纹扩展。为了准确评估裂纹尖端周围的应力场,首先提出了一种可变阶渐近元素(VAE)来表达奇异行为。这种 VAE 也适用于不同开口角度的 V 形缺口,只需对应力指数稍作调整即可。然后,将 VAE 引入 FMDBEM 框架,解决了积分的几个奇异性问题。最后,将带有 VAE 的 FMDBEM 与自适应方案相结合,确定裂纹扩展路径。数值示例表明,本方法准确且易于实施,是分析包含随机分布裂纹和缺口的大型复杂结构的理想工具。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
An advanced fast multipole dual boundary element method for analyzing multiple cracks propagation
A new fast multipole dual boundary element method (FMDBEM) is developed to analyze multiple crack propagations. To evaluate accurately the stress fields around the crack tip, a variable-order asymptotic element (VAE) is first proposed to express the singular behavior. This VAE is also suitable for the V-notches with different opening angles, requiring only minor adjustments of stress exponents. Then the VAE is introduced into the FMDBEM framework, where several singularity problems of integrals are solved. Finally, the FMDBEM with VAEs, combined with an adaptive scheme, is used to determine the crack propagation paths. Numerical examples show that the present method is accurate and easy to implement, making it an appealing tool for analyzing large complex structures that include randomly distributed cracks and notches.
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来源期刊
CiteScore
8.70
自引率
13.00%
发文量
606
审稿时长
74 days
期刊介绍: EFM covers a broad range of topics in fracture mechanics to be of interest and use to both researchers and practitioners. Contributions are welcome which address the fracture behavior of conventional engineering material systems as well as newly emerging material systems. Contributions on developments in the areas of mechanics and materials science strongly related to fracture mechanics are also welcome. Papers on fatigue are welcome if they treat the fatigue process using the methods of fracture mechanics.
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