| An eigenfunction expansion-variational method for the anti-plane electroelastic behavior of three-phase fiber composites | |
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 | Mechanics of Materials
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| 2011 | |
| Volume | 43Issue:10Pages:586-597 |
| ISSN | 0167-6636 |
| Abstract | The anti-plane electroelastic behavior of three-phase piezoelectric composites (fiber/interphase/matrix) with doubly periodic microstructures is dealt with. A new variational functional for a unit cell is constructed by incorporating the periodic boundary conditions into the energy functional. Then, by combining with the eigenfunction expansions of the complex potentials satisfying the fiber-interphase-matrix interfacial conditions, an eigenfunction expansion-variational method based on a unit cell is developed. The numerical results of the effective electroelastic moduli show a rapid convergence of the present method. A unified first-order approximation formula is also provided, where an equivalent parameter matrix reflecting the overall influence of the electroelastic properties of the fiber and interphase on the effective properties, is found. The equivalent parameter matrix can greatly simplify the complicated relation of the effective electroelastic properties to the internal structure of a three-phase fiber composite. Though the equivalent parameter matrix is extracted in the first-order approximation formula, its validity is also verified in the high-order numerical results. (C) 2011 Elsevier Ltd. All rights reserved. |
| Keyword | Effective Electroelastic Moduli Interphase Double Period Unit Cell Fiber-reinforced Composites Piezoelectric Composites Elliptic Inclusion Model Shear |
| Subject Area | Materials Science ; Mechanics |
| DOI | 10.1016/j.mechmat.2011.06.009 |
| URL | 查看原文 |
| Indexed By | SCI ; EI |
| Language | 英语 |
| WOS ID | WOS:000295905600006 |
| WOS Keyword | PIEZOELECTRIC COMPOSITES ; ELLIPTIC INCLUSION ; MODEL ; SHEAR |
| WOS Research Area | Materials Science ; Mechanics |
| WOS Subject | Materials Science, Multidisciplinary ; Mechanics |
| Funding Organization | The work is supported by the National Natural Science Foundation of China under Grant NNSFC 10972020, and the Fundamental Research Funds for the Central Universities. |
| Department | LNM生物材料微结构和力学性能 |
| Classification | 一类 |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://dspace.imech.ac.cn/handle/311007/44905 |
| 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. An eigenfunction expansion-variational method for the anti-plane electroelastic behavior of three-phase fiber composites[J]. Mechanics of Materials,2011,43,10,:586-597. |
| APA | Yan P,蒋持平,宋凡,&Jiang, CP .(2011).An eigenfunction expansion-variational method for the anti-plane electroelastic behavior of three-phase fiber composites.Mechanics of Materials,43(10),586-597. |
| MLA | Yan P,et al."An eigenfunction expansion-variational method for the anti-plane electroelastic behavior of three-phase fiber composites".Mechanics of Materials 43.10(2011):586-597. |
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