| ANALYTICAL SOLUTIONS FOR ELASTOSTATIC PROBLEMS OF PARTICLE-AND FIBER-REINFORCED COMPOSITES WITH INHOMOGENEOUS INTERPHASES |
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| 作者姓名： | 段慧玲 王建祥 黄筑平 黄红波 |
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| 作者单位： | LTCS and Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P.R.China，LTCS and Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P.R.China，LTCS and Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P.R.China，LTCS and Department of Mechanics and Engineering Science，Peking University，Beijing 100871，P.R.China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina (Nos.1 0 0 3 2 0 1 0，1 0 0 72 0 0 2and 1 0 3 72 0 0 4) |
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| 摘 要： | IntroductionRecently ,theinterphaseincompositeshasattractedtheattentionofmanyresearchers1- 7].Someinterphasesareproducedbydesignandothersbychemicalreactionsinfabricatingcomposites.Fromtheviewpointofmechanicsofcompositematerials,oneofthefundamentalproblemsofcompositeswithinterphasesistopredicttheeffectivemoduli.Therearemanymethodsforpredictingeffectivemoduliofcomposites,suchasgeneralizedself_consistentmethod(GSCM) ,compositesphereandcompositecylindermodels (CCAandCSA)andIDDestimate ,etc …
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| 关 键 词： | 异源界面 粒子加固 复合材料 纤维 解析解 |
| 收稿时间： | 13 July 2003 |
Analytical solutions for elastostatic problems of particle-and fiber-reinforced composites with inhomogeneous interphases |
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| Duan Hui-ling Doctor,Wang Jian-xiang,Huang Zhu-ping,Huang Hong-bo.ANALYTICAL SOLUTIONS FOR ELASTOSTATIC PROBLEMS OF PARTICLE-AND FIBER-REINFORCED COMPOSITES WITH INHOMOGENEOUS INTERPHASES[J].Applied Mathematics and Mechanics(English Edition),2005,26(3):336-344. |
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| Authors: | Duan Hui-ling Doctor Wang Jian-xiang Huang Zhu-ping Huang Hong-bo |
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| Institution: | LTCS and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P.R.China |
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| Abstract: | By transforming the governing equations for displacement components into Riccati equations, analytical solutions for displacements,
strains and stresses for Representive Volume Elements (RVEs) of particle- and fiber-reinforced composites containing inhomogenous
interphases were obtained. The analytical solutions derived here are new and general for power-law variations of the elastic
moduli of the inhomogeneous interphases. Given a power exponent, analytical expressions for the bulk moduli of the composites
with inhomogenous interphases can be obtained. By changing the power exponent and the coefficients of the power terms, the
solutions derived here can be applied to inhomogeneous interphases with many different property profiles. The results show
that the modulus variation and the thickness of the inhomogeneous interphase have great effect on the bulk moduli of the composites.
The particle will exhibit a sort of “size effect”, if there is an interphase.
Contributed by HUANG Zhu-ping
Project supported by the National Natural Science Foundation of China (Nos. 10032010, 10072002 and 10372004) |
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| Keywords: | inhomogeneous interphase particle-reinforced composite fiber-reinforced composite analytical solution bulk modulus |
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