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| A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application | |
Jiang CP(蒋持平) ; Xu YL; Cheung YK; Lo SH; Cheung, YK (reprint author), Univ Hong Kong, Dept Civil Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China.
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| Source Publication | Mechanics of Materials
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| 2004 | |
| Volume | 36Issue:3Pages:225-237 |
| ISSN | 0167-6636 |
| Abstract | An infinite elastic solid containing a doubly periodic parallelogrammic array of cylindrical inclusions under longitudinal shear is studied. A rigorous and effective analytical method for exact solution is developed by using Eshelby's equivalent inclusion concept integrated with the new results from the doubly quasi-periodic Riemann boundary value problems. Numerical results show the dependence of the stress concentrations in such heterogeneous materials on the periodic microstructure parameters. The overall longitudinal shear modulus of composites with periodic distributed fibers is also studied. Several problems of practical importance, such as those of doubly periodic holes or rigid inclusions, singly periodic inclusions and single inclusion, are solved or resolved as special cases. The present method can provide benchmark results for other numerical and approximate methods. (C) 2003 Elsevier Ltd. All rights reserved. |
| Keyword | Double Period Riemann Boundary Value Problem Heterogeneous Materials Fiber-reinforced Composites Effective Modulus Stress Concentration Transversely Isotropic Constituents Fiber-reinforced Composites Closed-form Expressions Effective Coefficients Distributed Voids Effective Moduli Square Symmetry Antiplane Shear Elastic Body Model |
| DOI | 10.1016/S0167-6636(03)00010-3 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000187751000003 |
| WOS Keyword | TRANSVERSELY ISOTROPIC CONSTITUENTS ; FIBER-REINFORCED COMPOSITES ; CLOSED-FORM EXPRESSIONS ; EFFECTIVE COEFFICIENTS ; DISTRIBUTED VOIDS ; EFFECTIVE MODULI ; SQUARE SYMMETRY ; ANTIPLANE SHEAR ; ELASTIC BODY ; MODEL |
| WOS Research Area | Materials Science ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/33827 |
| Collection | 力学所知识产出(1956-2008) |
| Corresponding Author | Cheung, YK (reprint author), Univ Hong Kong, Dept Civil Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China. |
| Recommended Citation GB/T 7714 | Jiang CP,Xu YL,Cheung YK,et al. A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application[J]. Mechanics of Materials,2004,36,3,:225-237. |
| APA | 蒋持平,Xu YL,Cheung YK,Lo SH,&Cheung, YK .(2004).A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application.Mechanics of Materials,36(3),225-237. |
| MLA | 蒋持平,et al."A rigorous analytical method for doubly periodic cylindrical inclusions under longitudinal shear and its application".Mechanics of Materials 36.3(2004):225-237. |
| Files in This Item: | Download All | |||||
| File Name/Size | DocType | Version | Access | License | ||
| E117.pdf（403KB） | 期刊论文 | 出版稿 | 开放获取 | CC BY-NC-SA | View Download | |
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