利用奇异积分方程法分析一维正交准晶体中的复杂平面裂缝

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-08-30 DOI:10.1016/j.enganabound.2024.105929

Di Sun , Taiyan Qin , Xiao-Wei Gao

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引用次数: 0

摘要

本文提出了一种奇异积分方程方法，用于分析一维（1D）正交准晶体中的复杂平面裂纹。利用 Somigliana 公式推导了弯曲裂纹的奇异积分方程。根据弯曲裂纹的一般情况，给出了倾斜裂纹和弧形裂纹的奇异积分方程。然后得到了倾斜裂纹和弧形裂纹尖端附近奇异声子应力和法森应力的解析解。引入高斯-切比雪夫正交法计算奇异积分方程，并提出了求解应力强度因子（SIF）的数值算法。对一些实例的声子和声子 SIF 数值解进行了求解和讨论。

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Analysis for complex plane cracks in 1D orthorhombic quasicrystals using the singular integral equation method

A singular integral equation method is proposed to analyze the complex plane cracks in one-dimensional (1D) orthorhombic quasicrystals. Using the Somigliana formula, the singular integral equations of the curved crack are derived. Based on the general situation of the curved crack, the singular integral equations of the inclined crack and the arc crack are given. Then the analytical solutions for the singular phonon and phason stresses near the tips of the inclined and the arc crack are obtained. Gauss-Chebyshev quadrature method is introduced to calculate the singular integral equations, and a numerical algorithm for solving the stress intensity factor (SIF) is proposed. Numerical solutions for the phonon and phason SIFs of some examples are solved and discussed.

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来源期刊

Engineering Analysis with Boundary Elements 工程技术-工程：综合

CiteScore

5.50

自引率

18.20%

发文量

368

审稿时长

56 days

期刊介绍： This journal is specifically dedicated to the dissemination of the latest developments of new engineering analysis techniques using boundary elements and other mesh reduction methods. Boundary element (BEM) and mesh reduction methods (MRM) are very active areas of research with the techniques being applied to solve increasingly complex problems. The journal stresses the importance of these applications as well as their computational aspects, reliability and robustness. The main criteria for publication will be the originality of the work being reported, its potential usefulness and applications of the methods to new fields. In addition to regular issues, the journal publishes a series of special issues dealing with specific areas of current research. The journal has, for many years, provided a channel of communication between academics and industrial researchers working in mesh reduction methods Fields Covered: • Boundary Element Methods (BEM) • Mesh Reduction Methods (MRM) • Meshless Methods • Integral Equations • Applications of BEM/MRM in Engineering • Numerical Methods related to BEM/MRM • Computational Techniques • Combination of Different Methods • Advanced Formulations.