| 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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| 发表期刊 | Mechanics of Materials
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| 2011
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| 卷号 | 43期号:10页码:586-597 |
| ISSN | 0167-6636
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| 摘要 | 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. |
| 关键词 | Effective Electroelastic Moduli
Interphase
Double Period
Unit Cell
Fiber-reinforced Composites
Piezoelectric Composites
Elliptic Inclusion
Model
Shear
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| 学科领域 | Materials Science
; Mechanics
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| DOI | 10.1016/j.mechmat.2011.06.009
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| URL | 查看原文
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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:000295905600006
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| 关键词[WOS] | PIEZOELECTRIC COMPOSITES
; ELLIPTIC INCLUSION
; MODEL
; SHEAR
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| WOS研究方向 | Materials Science
; Mechanics
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| WOS类目 | Materials Science, Multidisciplinary
; Mechanics
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| 项目资助者 | 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.
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| 课题组名称 | LNM生物材料微结构和力学性能
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| 论文分区 | 一类
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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/311007/44905
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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. 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.
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| 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.
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| 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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