Asymptotic homogenization for effective parameters of unidirectional fiber reinforced composites by isogeometric boundary element method

IF 4.2 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY Engineering Analysis with Boundary Elements Pub Date : 2024-11-18 DOI:10.1016/j.enganabound.2024.106036

Zhilin Han , Shijia Liu , Yu Deng , Chuyang Luo

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Abstract

In this paper, formulations for asymptotic homogenization method based on the boundary element method (BEM) are presented for the estimations for effective parameters of unidirectional fiber reinforced composites in the 2D plane strain case. The boundaries are discretized by shape functions of non-uniform rational B-splines (NURBS) according to the features of isogeometric analysis and the related isogeometric boundary element method is established. The strongly and weakly singular integrals in the boundary integral equations are precisely calculated in direct schemes. Comprehensive comparisons for the obtained effective parameters by the current method are conducted with the existing ones by conventional BEM and the ones by finite element method (FEM). It is found that the estimations in present work are more accurate than the ones by conventional BEM with fewer control points and are also more accurate than the ones by FEM for fibers with more complex geometry. The outperformance of the current method shows competitive potentials in homogenization for the real 3D composites.

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用等几何边界元法实现单向纤维增强复合材料有效参数的渐近同质化

本文提出了基于边界元法（BEM）的渐近均质化方法公式，用于估算二维平面应变情况下单向纤维增强复合材料的有效参数。根据等几何分析的特点，采用非均匀有理 B-样条曲线（NURBS）的形状函数对边界进行离散化，并建立了相关的等几何边界元方法。边界积分方程中的强奇异积分和弱奇异积分在直接方案中得到精确计算。将当前方法获得的有效参数与传统 BEM 和有限元法（FEM）获得的有效参数进行了综合比较。结果发现，在控制点较少的情况下，本研究的估算结果比传统 BEM 方法更为精确，而对于几何形状更为复杂的纤维，本研究的估算结果也比 FEM 方法更为精确。当前方法的优越性能显示了其在实际三维复合材料均质化方面的竞争潜力。

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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.