Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers

doi:10.1002/zamm.201600084

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	Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers
	Yan P; Dong JS; Chen FL; Song F(宋凡); Yan, P (reprint author), Beihang Univ BUAA, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
发表期刊	ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
	2017-04-01
卷号	97 期号:4 页码:397-413
ISSN	0044-2267
摘要	We present a complex variable method to evaluate the transverse effective transport properties of composites with a doubly-periodic array of fibers. The obtained complex variable solution is derived in a unified form for arbitrary doubly-periodic fiber arrays and different fiber-matrix interfaces i.e. perfect interface contact resistance interface and coating. The present method can be seen as an extension of the method originated by Rayleigh only for symmetric fiber arrays. The limitation of Rayleigh's method is overcome by introducing a supplementary equation. Explicit formulae of the effective transport properties approximated to finite orders are obtained which are written in a regular form for different fiber arrays and reveal the reciprocal relations for symmetric fiber arrays. The validity and accuracy of the solution are verified by numerical examples and comparisons with existing methods. (c) 2016 WILEY-VCH Verlag GmbH & Co. KGaA Weinheim
关键词	Composites Fiber Effective Transport Properties Complex Variable Method
DOI	10.1002/zamm.201600084
收录类别	SCI
语种	英语
WOS记录号	WOS:000398635000002
关键词[WOS]	EFFECTIVE THERMAL-CONDUCTIVITY ; CYLINDRICAL INCLUSIONS ; CIRCULAR-CYLINDERS ; RESISTANCE ; CELL
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Applied ; 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
课题组名称	LNM生物材料微结构和力学性能
论文分区	二类
力学所作者排名	1
引用统计	被引频次：3[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://dspace.imech.ac.cn/handle/311007/60561
专题	非线性力学国家重点实验室
通讯作者	Yan, P (reprint author), Beihang Univ BUAA, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.; Song, F (reprint author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech LNM, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Yan P,Dong JS,Chen FL,et al. Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2017,97,4,:397-413.
APA	Yan P,Dong JS,Chen FL,宋凡,Yan, P ,&Song, F .(2017).Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,97(4),397-413.
MLA	Yan P,et al."Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 97.4(2017):397-413.

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