| 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.
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| 发表期刊 | COMPUTATIONAL MATERIALS SCIENCE
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| 2010
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| 卷号 | 50期号:2页码:704-713 |
| ISSN | 0927-0256
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| 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. |
| 关键词 | Effective Thermal Conductivity
Cylindrical Orthotropy
Complex Variable Method
Double Period
Fiber Reinforced Composites
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| DOI | 10.1016/j.commatsci.2010.09.037
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| 收录类别 | SCI
; EI
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| 语种 | 英语
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| WOS记录号 | WOS:000285657600057
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| 关键词[WOS] | EFFECTIVE THERMAL-CONDUCTIVITY
; CARBON-FIBERS
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| WOS研究方向 | Materials Science
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| WOS类目 | Materials Science, Multidisciplinary
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| 项目资助者 | National Natural Science Foundation of China [NNSFC 90716002]
; LNM
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| 引用统计 |
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| 文献类型 | 期刊论文
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| 条目标识符 | http://dspace.imech.ac.cn/handle/311007/58596
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| 专题 | 非线性力学国家重点实验室
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| 通讯作者 | Jiang, CP (reprint author), Beijing Univ Aeronaut & Astronaut, Sch Aeronaut Sci & Engn, Beijing 100191, Peoples R China. |
推荐引用方式
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.
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| 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.
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| 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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