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首页> 外文期刊>Engineering analysis with boundary elements >Dynamic analysis of multi-crack problems by the spline fictitious boundary element method based on Erdogan fundamental solutions
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Dynamic analysis of multi-crack problems by the spline fictitious boundary element method based on Erdogan fundamental solutions

机译：基于埃尔多安基本解的样条虚拟边界元法对多裂纹问题进行动力分析

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摘要

The appearance of multiple cracks on engineering structures has a large influence on the structural dynamic characteristics. The Erdogan fundamental solutions for static analysis of an infinite single cracked plate are introduced in this paper. Using the multi-domain coupling technique, the multi-crack problem is transformed into several single crack problems. For each single crack problem, based on the above fundamental solutions, dynamic fracture analysis is presented with the mathematical formulation and computational implementation of the spline fictitious boundary element method (SFBEM). Here, the stress boundary conditions on the crack surface are automatically satisfied and the singular behaviour at the crack tip is naturally captured. The angular frequencies and mode shapes of the multi-crack problem are obtained using the proposed method. The dynamic stress intensity factors (DSIFs) of the multi-crack problem are also obtained. Numerical examples are given to demonstrate the accuracy of the proposed method in comparison to the finite element method.
机译：工程结构上出现多个裂纹对结构动力特性影响很大。介绍了无限大单裂纹板静态分析的埃尔多安基本解。使用多域耦合技术，将多裂纹问题转换为几个单裂纹问题。对于每个单个裂纹问题，基于上述基本解决方案，通过样条虚拟边界元方法（SFBEM）的数学公式和计算实现方式，进行了动态断裂分析。在此，裂纹表面上的应力边界条件自动得到满足，并且裂纹尖端处的奇异行为自然被捕获。使用提出的方法获得了多裂纹问题的角频率和振型。还获得了多裂纹问题的动态应力强度因子（DSIF）。数值算例表明了该方法与有限元法相比的准确性。

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