Special inclusion elements for thermal analysis of composite materials

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements Pub Date : 2024-11-16 DOI:10.1016/j.enganabound.2024.106017

Keyong Wang , Renyu Zeng , Peichao Li , Hao Cen

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引用次数: 0

Abstract

A novel fundamental solution based finite element method (HFS-FEM) is proposed to analyze heat conduction problem of two-dimensional composite materials. In the proposed method, a linear combination of fundamental solutions at source points is taken as intra-element trial functions to construct the interior temperature field. The required fundamental solution is established by the charge simulation method, which makes it possible to establish arbitrarily shaped inclusion elements. The frame temperature field is independently approximated by the conventional finite element interpolation function to enforce the continuity between neighboring elements. The domain integral is eliminated by applying the divergence theorem to the modified variational functional, which gives HFS-FEM great flexibility in mesh generation. To assess the performance of the proposed elements, numerical examples are conducted and comparisons are made between HFS-FEM and ABAQUS. Numerical results show that HFS-FEM can capture the discontinuity of inclusion and exhibits high efficiency.

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用于复合材料热分析的特殊包含元素

本文提出了一种基于基本解的新型有限元方法（HFS-FEM），用于分析二维复合材料的热传导问题。在所提出的方法中，源点处的基本解的线性组合作为元素内试算函数来构建内部温度场。所需的基本解是通过电荷模拟方法建立的，因此可以建立任意形状的包含元素。框架温度场由传统的有限元插值函数独立逼近，以确保相邻元素之间的连续性。通过对修改后的变分函数应用发散定理来消除域积分，这使得 HFS-FEM 在网格生成方面具有极大的灵活性。为了评估所建议的元素的性能，我们进行了数值示例，并在 HFS-FEM 和 ABAQUS 之间进行了比较。数值结果表明，HFS-FEM 可以捕捉包含的不连续性，并表现出很高的效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.