基于径向点插值方法的高效中点和Richardson外推的裂缝问题快速求积分

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2025-03-11 DOI:10.1016/j.enganabound.2025.106188

Sai Naga Kishore Vutla , Thamarai Selvan Vasu , Jeyakarthikeyan P.V.

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引用次数: 0

摘要

将一种有效的数值积分技术——单元中点法（EM）成功地应用于无网格方法中求解裂缝问题，并采用径向点插值法对裂缝问题进行建模。将数值计算结果与标准（3×3）点高斯正交和（6×6）点高斯正交进行了比较，验证了所提数值方法的正确性。为验证该方法的有效性，考虑了拉载作用下的边缘裂纹、中心裂纹、倾斜边缘裂纹和剪切作用下的边缘裂纹四个基准问题，求解并进一步计算了应力强度因子（SIF）。结合公式和算例，对比研究了积分技术在求解断裂等复杂问题时的精度和计算时间。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

$An efficient midpoint and Richardson extrapolation-based rapid Quadrature for fracture problems using Radial Point Interpolation Method$

查看原文本刊更多论文

An efficient midpoint and Richardson extrapolation-based rapid Quadrature for fracture problems using Radial Point Interpolation Method

An efficient numerical integration technique, namely the Element Midpoint(EM) Method, is successfully applied to meshless methods to solve the fracture problem, which is modeled using the Radial point interpolation method. The results were compared with standard

(3 \times 3)

points Gauss quadrature and

(6 \times 6)

points Gauss quadrature in 2D to validate the presented numerical methods. To demonstrate the efficiency and effectiveness of this method, four benchmark problems, Edge Crack, Center Crack, and Inclined Edge Crack problem under tensile load and Edge Crack problem under shear load, are considered to solve and further calculate Stress Intensity Factor (SIF). Based on the formulation and examples, a comparative study on accuracy and computational time has been presented to show the effectiveness of the integration technique against complex problems like fracture.

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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.