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高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究

周萧明 胡更开

周萧明, 胡更开. 高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究[J]. 应用数学和力学, 2006, 27(8): 891-898.
引用本文: 周萧明, 胡更开. 高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究[J]. 应用数学和力学, 2006, 27(8): 891-898.
ZHOU Xiao-ming, HU Geng-kai. Linear and Nonlinear Dielectric Properties of Particulate Composites at Finite Concentration[J]. Applied Mathematics and Mechanics, 2006, 27(8): 891-898.
Citation: ZHOU Xiao-ming, HU Geng-kai. Linear and Nonlinear Dielectric Properties of Particulate Composites at Finite Concentration[J]. Applied Mathematics and Mechanics, 2006, 27(8): 891-898.

高体积分数颗粒增强复合材料有效线性与非线性介电性质的研究

基金项目: 国家自然科学基金资助项目(10325210)
详细信息
    作者简介:

    周萧明(1978- ),男,内蒙古集宁人,博士;胡更开(1964- ),男,黑龙江人,教授,博士,博士生导师(联系人.Tel/Fax:+86-10-68912631;E-mail:hugeng@bit.edu.cn).

  • 中图分类号: TB330.1

Linear and Nonlinear Dielectric Properties of Particulate Composites at Finite Concentration

  • 摘要: 基于两球相互作用的近似解,提出了一种解析方法来预测颗粒增强复合材料的线性有效介电性质,该方法可以应用于颗粒体积分数较高(可达50%)的情况.利用割线方法还研究了该类复合材料的非线性有效性质.结果表明当外加电场较弱时该文提出的方法与Stroud和Hui的方法比较接近,当外场较强时与Yu和Hui的方法一致.
  • [1] Garnett J C M.Colors in metal glasses and in metallic films[J].Trans Roy Soc London,1904,203:385—420. doi: 10.1098/rsta.1904.0024
    [2] Garnett J C M. Colors in metal glasses, in metallic films, and in metallic solutions-Ⅱ[J].Trans Roy Soc London,1906,205:237—288. doi: 10.1098/rsta.1906.0007
    [3] Bruggeman V D A G. Betechnung vershiedener physikalischer konstanten von heterogenen substanzen[J].Annalen der Physik,1935,24:636—664.
    [4] Doyle W T,Jacobs I S. Effective cluster model of dielectric enhancement in metal-insulator composites[J].Physical Review B,1990,42(15):9319—9327. doi: 10.1103/PhysRevB.42.9319
    [5] Torquato S. Effective electrical conductivity of two-phase disordered composite media[J].Journal of Applied Physics,1985,58(10):3790—3797. doi: 10.1063/1.335593
    [6] Kanaun S K. Dielectric properties of matrix composite materials with high volume concentrations of inclusions (effective field approach)[J].International Journal of Engineering Science,2003,41(12):1287—1312. doi: 10.1016/S0020-7225(03)00042-9
    [7] Stroud D, Hui P M. Nonlinear susceptibilities of granular matter[J].Physical Review B,1988,37(15):8719—8724. doi: 10.1103/PhysRevB.37.8719
    [8] Yu K W,Hui P M,Stroud D.Effective dielectric response of nonlinear composites[J].Physical Review B,1993,47(21):14150—14156. doi: 10.1103/PhysRevB.47.14150
    [9] Pellegrini Y P. Field distributions and effective-medium approximation for weakly nonlinear media[J].Physical Review B,2000,61(14):9365—9372. doi: 10.1103/PhysRevB.61.9365
    [10] 周萧明,胡更开.预测复合材料非线性有效介电系数的割线方法[J].复合材料学报,2005,21(6):149—154.
    [11] Qiu Y P, Weng G J. A theory of plasticity for porous materials and particle-reinforced composites[J].Journal of Applied Mechanics,1992,59(2):261—268. doi: 10.1115/1.2899515
    [12] Hu G K. A method of plasticity for general aligned spheroidal voids or fiber reinforced composites[J].International Journal of Plasticity,1996,12(4):439—449. doi: 10.1016/S0749-6419(96)00015-0
    [13] Chew W C.Waves and Fields in Inhomogeneous Media[M].New York:Van Nostrand Reinhold,1990.
    [14] Ju J W, Chen T M.Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities[J].Acta Mechanics,1994,103(1/4):123—144. doi: 10.1007/BF01180222
    [15] Batchelor G K, Green J T. The determination of the bulk stress in a suspension of spherical particles to order c2[J].Journal of Fluid Mechanics,1972,56(3):401—427. doi: 10.1017/S0022112072002435
    [16] Willis J R, Acton J R. The overall elastic moduli of a dilute suspension of spheres[J].Quart J Mech Appl Math,1976,29(2):163—177. doi: 10.1093/qjmam/29.2.163
    [17] Chen H S, Acrivos A. The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations[J].International Journal of Solids and Structures,1978,14(5):349—364. doi: 10.1016/0020-7683(78)90017-3
    [18] Percus J K, Yevick G J. Analysis of classical statistical mechanics by means of collective coordinates[J].Physical Review,1958,110(1):1—13. doi: 10.1103/PhysRev.110.1
    [19] Ponte Castaneda P. The effective mechanical properties of nonlinear isotropic composite[J].Journal of the Mechanics and Physics of Solids,1991,39(1):45—71. doi: 10.1016/0022-5096(91)90030-R
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出版历程
  • 收稿日期:  2005-06-20
  • 修回日期:  2005-12-30
  • 刊出日期:  2006-08-15

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