Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (8): 1021-1030 .doi: https://doi.org/10.1007/s10483-006-0802-1
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ZHOU Xiao-ming, HU Geng-kai
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Abstract: An analytical method was proposed to calculate effective linear and nonlinear dielectric properties for particulate composites. The method is based on an approximate solution of two-particle interaction problem, and it can be applied to relatively high volume concentration of particles (up to 50%). Nonlinear dielectric property was also examined by means of secant method. It is found that for low applied electric filed the proposed method is close to Stroud and Hui's method and for high applied electric filed it is close to Yu's method.
Key words: effective dielectric constants, finite concentration, nonlinear composite, secant method
2010 MSC Number:
TB330.1
78A30
78A48
ZHOU Xiao-ming;HU Geng-kai. LINEAR AND NONLINEAR DIELECTRIC PROPERTIES OF PARTICULATE COMPOSITES AT FINITE CONCENTRATION. Applied Mathematics and Mechanics (English Edition), 2006, 27(8): 1021-1030 .
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URL: https://www.amm.shu.edu.cn/EN/10.1007/s10483-006-0802-1
https://www.amm.shu.edu.cn/EN/Y2006/V27/I8/1021