具有非均匀界面相的颗粒和纤维增强复合材料弹性静力学问题的解析解

段慧玲; 王建祥; 黄筑平; 黄红波

具有非均匀界面相的颗粒和纤维增强复合材料弹性静力学问题的解析解

北京大学湍流与复杂系统国家重点实验室力学与工程科学系,北京 100871

基金项目: 国家自然科学基金资助项目(10032010;10072002;10372004)

详细信息

作者简介:
段慧玲(1970- ),女,蒙古族,内蒙古人,博士(E-mail:hlduan@pku.edu.cn);王建祥(联系人.Tel:+86-10-62757948;Fax:+86-10-62751812;E-mial:jxwang@pku.edu.cn).

中图分类号: TB330.1
计量
- 文章访问数: 2712
- HTML全文浏览量: 105
- PDF下载量: 783
- 被引次数: 0
出版历程
- 收稿日期: 2003-07-13
- 修回日期: 2004-12-03
- 刊出日期: 2005-03-15

Analytical Solutions for Elastostatic Problems of Particle- and Fiber-Reinforced Composites With Inhomogeneous Interphases

LTCS and Department of Mechanics and Engineering Science, Peking University, Beijing 100871, P. R. China

摘要

摘要: 通过将以位移表示的平衡方程转化为黎卡提方程，得到了具有非均匀界面相的颗粒和纤维增强复合材料非均匀界面相内弹性场的解析解．所得的解析解是弹性模量呈幂次方变化的非均匀界面相解的通用形式．任意给定1个幂指数，可以得到具有非均匀界面相的颗粒和纤维增强复合材料体积模量的解析表达式．通过改变幂指数及幂次方项的系数，此解析解可适用于具有多种不同性质的非均匀界面相．结果表明：界面相模量和厚度对复合材料模量有很大的影响，当界面相存在时，粒子将出现一种“尺寸效应”．
- 非均匀界面相 /
- 颗粒增强复合材料 /
- 纤维增强复合材料 /
- 解析解 /
- 体积模量
Abstract: By transforming the governing equations for displacement components into Riccati equations, analytical solutions for displacements, strains and stresses for RVEs of particle- and fiber-reinforced composites containing inhomogeneous 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 inhomogeneous 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.
- inhomogeneous interphase /
- particle-reinforced composite /
- fiber-reinforced composite /
- analytical solution /
- bulk modulus

HTML全文

参考文献(11)

[1]	Dai L H, Huang Z P, Wang R. Explicit expressions for bounds for the effective moduli of multi-phased composites by the generalized self-consistent method[J].Composites Science and Technology,1999,59(11):1691—1699. doi: 10.1016/S0266-3538(99)00031-7
[2]	仲政. 含柔性涂层的颗粒增强复合材料弹性模量估计[J].固体力学学报, 2000, 21(4):350—354.
[3]	Wu Y M, Huang Z P, Zhong Y,et al. Effective moduli of particle-filled composite with inhomogeneous interphase: Part I—bounds[J].Composites Science and Technology,2004,64(9):1345—1351. doi: 10.1016/j.compscitech.2003.10.009
[4]	Zhong Y, Wang J, Wu Y M,et al. Effective moduli of particle-filled composite with inhomogeneous interphase: Part II—mapping method and evaluation[J]. Composites Science and Technology, 2004,64(9):1353—1362. doi: 10.1016/j.compscitech.2003.10.010
[5]	Wang W, Jasiuk I. Effective elastic constants of particulate composites with inhomogeneous interphases[J].Journal of Composite Materials,1998,32(15):1391—1424. doi: 10.1177/002199839803201503
[6]	Ding K, Weng G J. The influence of moduli slope of a linearly graded matrix on the bulk moduli of some particle and fiber-reinforced composites[J].Journal of Elasticity,1999,53(1):1—22.
[7]	Jasiuk I, Kouider M W. The effect of an inhomogeneous interphase on the elastic constants of transversely istropic composites[J].Mechanics of Materials, 1993,15(1): 53—63. doi: 10.1016/0167-6636(93)90078-6
[8]	Christensen R M, Lo K H. Solutions for effective shear properties in three phase sphere and cylinder models[J].Journal of the Mechanics and Physics of Solids,1979,27(3):315—330. doi: 10.1016/0022-5096(79)90032-2
[9]	Hashin Z. The elastic moduli of heterogeneous materials[J].Journal of Applied Mechanics,1962,29(1):143—150. doi: 10.1115/1.3636446
[10]	Hashin Z, Rosen B W. The elastic moduli of fiber-reinforced materials[J].Journal of Applied Mechanics,1964,31(2):223—232. doi: 10.1115/1.3629590
[11]	Zheng Q S, Du D X. An explicit and universally applicable estimate for the effective properties of multiphase composites which account for inclusion distribution[J]. Journal of the Mechanics and Physics of Solids,2001,49(11):2765—2788. doi: 10.1016/S0022-5096(01)00078-3

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2712
HTML全文浏览量: 105
PDF下载量: 783
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

具有非均匀界面相的颗粒和纤维增强复合材料弹性静力学问题的解析解

作者简介:
段慧玲(1970- ),女,蒙古族,内蒙古人,博士(E-mail:hlduan@pku.edu.cn);王建祥(联系人.Tel:+86-10-62757948;Fax:+86-10-62751812;E-mial:jxwang@pku.edu.cn).

计量

Analytical Solutions for Elastostatic Problems of Particle- and Fiber-Reinforced Composites With Inhomogeneous Interphases

计量

目录

留言板

具有非均匀界面相的颗粒和纤维增强复合材料弹性静力学问题的解析解

作者简介: 段慧玲(1970- ),女,蒙古族,内蒙古人,博士(E-mail:hlduan@pku.edu.cn);王建祥(联系人.Tel:+86-10-62757948;Fax:+86-10-62751812;E-mial:jxwang@pku.edu.cn).

计量

出版历程

Analytical Solutions for Elastostatic Problems of Particle- and Fiber-Reinforced Composites With Inhomogeneous Interphases

计量

出版历程

目录

作者简介:
段慧玲(1970- ),女,蒙古族,内蒙古人,博士(E-mail:hlduan@pku.edu.cn);王建祥(联系人.Tel:+86-10-62757948;Fax:+86-10-62751812;E-mial:jxwang@pku.edu.cn).