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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
Source PublicationMechanics of Materials
2011
Volume43Issue:10Pages:586-597
ISSN0167-6636
AbstractThe 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.
KeywordEffective Electroelastic Moduli Interphase Double Period Unit Cell Fiber-reinforced Composites Piezoelectric Composites Elliptic Inclusion Model Shear
Subject AreaMaterials Science ; Mechanics
DOI10.1016/j.mechmat.2011.06.009
URL查看原文
Indexed BySCI ; EI
Language英语
WOS IDWOS:000295905600006
WOS KeywordPIEZOELECTRIC COMPOSITES ; ELLIPTIC INCLUSION ; MODEL ; SHEAR
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics
Funding OrganizationThe work is supported by the National Natural Science Foundation of China under Grant NNSFC 10972020, and the Fundamental Research Funds for the Central Universities.
DepartmentLNM生物材料微结构和力学性能
Classification一类
Citation statistics
Cited Times:17[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/44905
Collection非线性力学国家重点实验室
Corresponding AuthorJiang, 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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