| 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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| Source Publication | COMPUTATIONAL MATERIALS SCIENCE
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| 2010 | |
| Volume | 50Issue:2Pages:704-713 |
| ISSN | 0927-0256 |
| Abstract | 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. |
| Keyword | Effective Thermal Conductivity Cylindrical Orthotropy Complex Variable Method Double Period Fiber Reinforced Composites |
| DOI | 10.1016/j.commatsci.2010.09.037 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000285657600057 |
| WOS Keyword | EFFECTIVE THERMAL-CONDUCTIVITY ; CARBON-FIBERS |
| WOS Research Area | Materials Science |
| WOS Subject | Materials Science, Multidisciplinary |
| Funding Organization | National Natural Science Foundation of China [NNSFC 90716002] ; LNM |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/58596 |
| Collection | 非线性力学国家重点实验室 |
| Corresponding Author | Jiang, 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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| JourArSuppl2016-029.（546KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | View Download | |
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