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Effective transport properties of composites with a doubly-periodic array of fiber pairs and with a triangular array of fibers
Yan P; Zhang ZA; Chen FL; Jiang CP(蒋持平); Wang XJ; Qiu ZP
2018-02-01
发表期刊ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
卷号98期号:2页码:312-329
ISSN0044-2267
摘要This paper presents a complex variable solution for the effective transport properties of composites with a doubly-periodic array of fiber pairs. By using the centrosymmetry of the problem, the method of Rayleigh and Natanzon-Filshtinsky's approach can be simply extended to the problems with two fibers per unit cell. The infinite system constructed in this paper only slightly complicates Rayleigh's system for the problems with one fiber per unit cell. Approximate analytical formulae of the effective transport properties for different fiber-pair arrays are obtained. The influence of pairwise interaction in fiber pairs on the effective transport properties is discussed in the numerical examples. As a special case of a doubly-periodic array of fiber pairs, effective transport property of composites with a triangular array of fibers is obtained. The obtained approximate analytical formulae are written in a concise form with good accuracy, thus are convenient for engineering application in most cases, except for those approaching the limit case of percolation when the perfectly conducting fibers become touching. Besides the square array and hexagonal array, the triangular fiber array (similar to carbon atom arrangement in graphene) is another special symmetric fiber array which results into transversely isotropic effective property. Therefore, the present solution for the triangular array is an extension of those for the square array and hexagonal array. The comparison of the results for the three symmetric fiber arrays reveals that the triangular fiber array has the highest conductivity. In addition, accuracy of the present solution is analyzed in the numerical examples. (C) 2017 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
关键词Composites fiber pairs triangular array effective transport properties complex variable method
DOI10.1002/zamm.201700063
URL查看原文
收录类别SCI
语种英语
WOS记录号WOS:000427146500009
关键词[WOS]HIGHLY CONDUCTING CYLINDERS ; THERMAL-CONDUCTIVITY ; ELASTIC COMPOSITE ; IMPERFECT CONTACT ; REGULAR ARRAYS ; UNIT-CELL ; PERMEABILITY
WOS研究方向Mathematics, Applied ; Mechanics
WOS类目Mathematics ; Mechanics
项目资助者National Natural Science Foundation of China [NNSFC 11302009] ; Aviation Science Foundation of China [2013ZBN3004] ; Fundamental Research Funds for the Central Universities ; Open Fund of LNM
论文分区二类
力学所作者排名4
引用统计
文献类型期刊论文
条目标识符http://dspace.imech.ac.cn/handle/311007/77883
专题非线性力学国家重点实验室
作者单位1.[Yan, P.
2.Zhang, Z. A.
3.Jiang, C. P.
4.Wang, X. J.
5.Qiu, Z. P.] Beihang Univ BUAA, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China
6.[Chen, F. L.] AVIC Acad Aeronaut Prop Technol, Beijing 101300, Peoples R China
7.[Jiang, C. P.] Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China
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Yan P,Zhang ZA,Chen FL,et al. Effective transport properties of composites with a doubly-periodic array of fiber pairs and with a triangular array of fibers[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2018,98(2):312-329.
APA Yan P,Zhang ZA,Chen FL,蒋持平,Wang XJ,&Qiu ZP.(2018).Effective transport properties of composites with a doubly-periodic array of fiber pairs and with a triangular array of fibers.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,98(2),312-329.
MLA Yan P,et al."Effective transport properties of composites with a doubly-periodic array of fiber pairs and with a triangular array of fibers".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 98.2(2018):312-329.
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