A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced with Periodic Arrays of Cylindrically Orthotropic Fibers

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	A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced with Periodic Arrays of Cylindrically Orthotropic Fibers
	Yan P; Jiang CP(蒋持平); Song F(宋凡)
刊名	COMPUTATIONAL MATERIALS SCIENCE
	2010
通讯作者邮箱	jiangchiping@buaa.edu.cn
卷号	50 期号:2 页码:704-713
关键词	Effective thermal conductivity Cylindrical orthotropy Complex variable method Double period Fiber reinforced composites
ISSN号	0927-0256
通讯作者	Jiang, CP (reprint author), Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.
产权排序	[Yan, P.; Jiang, C. P.] Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China; [Jiang, C. P.; Song, F.] Chinese Acad Sci, State Key Lab Nonlinear Mech LNM, Inst Mech, Beijing 100190, Peoples R China
中文摘要	Problems of two-dimensional steady-state heat conduction for composites with doubly periodic arrays of cylindrically orthotropic fibers are dealt with. A new complex variable method is presented by introducing an appropriate coordinate transformation to convert the governing differential equation into a harmonic one, and the eigenfunction expansions of the field variables in a unit cell are derived. Then by using a generalized variational functional which absorbs the periodicity condition, an eigenfunction expansion-variational method based on a unit cell is developed to solve such problems. A convergence analysis and a comparison with finite element calculations are conducted to demonstrate the correctness and efficiency of the present method. A discussion is made about the effects of the cylindrical orthotropy of the fiber and the existence of the isotropic core in the fiber on the effective conductivity of the composite. An engineering equivalent parameter, which reflects the overall influence of the thermal conductivities of the matrix and fibers as well as the interfacial characteristic on the effective thermal conductivity of the composite, is found. It is shown that the present first-order approximation of the effective thermal conductivity of the composite can be written in a unified formula for different microstructural characteristics and possesses a good engineering accuracy. (C) 2010 Elsevier B.V. All rights reserved.
类目[WOS]	Materials Science, Multidisciplinary
研究领域[WOS]	Materials Science
关键词[WOS]	EFFECTIVE THERMAL-CONDUCTIVITY ; CARBON-FIBERS
收录类别	SCI ; EI
语种	英语
WOS记录号	WOS:000285657600057
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/58596]
专题	力学研究所_非线性力学国家重点实验室
推荐引用方式 GB/T 7714	Yan P,Jiang CP,Song F. A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced with Periodic Arrays of Cylindrically Orthotropic Fibers[J]. COMPUTATIONAL MATERIALS SCIENCE,2010,50(2):704-713.
APA	Yan P,蒋持平,&宋凡.(2010).A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced with Periodic Arrays of Cylindrically Orthotropic Fibers.COMPUTATIONAL MATERIALS SCIENCE,50(2),704-713.
MLA	Yan P,et al."A Complex Variable Solution of Two-Dimensional Heat Conduction of Composites Reinforced with Periodic Arrays of Cylindrically Orthotropic Fibers".COMPUTATIONAL MATERIALS SCIENCE 50.2(2010):704-713.