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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); Jiang, CP (reprint author), Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.
Source PublicationCOMPUTATIONAL MATERIALS SCIENCE
2010
Volume50Issue:2Pages:704-713
ISSN0927-0256
AbstractProblems 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.
KeywordEffective Thermal Conductivity Cylindrical Orthotropy Complex Variable Method Double Period Fiber Reinforced Composites
DOI10.1016/j.commatsci.2010.09.037
Indexed BySCI ; EI
Language英语
WOS IDWOS:000285657600057
WOS KeywordEFFECTIVE THERMAL-CONDUCTIVITY ; CARBON-FIBERS
WOS Research AreaMaterials Science
WOS SubjectMaterials Science, Multidisciplinary
Funding OrganizationNational Natural Science Foundation of China [NNSFC 90716002] ; LNM
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/58596
Collection非线性力学国家重点实验室
Corresponding AuthorJiang, CP (reprint author), Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China.
Recommended Citation
GB/T 7714
Yan P,Jiang CP,Song F,et al. 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,&Jiang, CP .(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.
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