Unified complex variable solution for the effective transport properties of composites with a doubly-periodic array of fibers
文献类型：期刊论文
| 作者 | Yan P; Dong JS; Chen FL; Song F(宋凡)
|
| 刊名 | ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
 |
| 出版日期 | 2017-04-01 |
| 卷号 | 97期号:4页码:397-413 |
| 关键词 | Composites fiber effective transport properties complex variable method |
| ISSN号 | 0044-2267 |
| 中文摘要 | 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 |
| 类目[WOS] | Mathematics, Applied ; Mechanics |
| 研究领域[WOS] | Mathematics ; Mechanics |
| 关键词[WOS] | EFFECTIVE THERMAL-CONDUCTIVITY ; CYLINDRICAL INCLUSIONS ; CIRCULAR-CYLINDERS ; RESISTANCE ; CELL |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000398635000002 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/60561]  |
| 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,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.(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. |
入库方式： OAI收割
来源：力学研究所
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