Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (8): 1021-1030 .doi: https://doi.org/10.1007/s10483-006-0802-1

• Articles • Previous Articles     Next Articles

LINEAR AND NONLINEAR DIELECTRIC PROPERTIES OF PARTICULATE COMPOSITES AT FINITE CONCENTRATION

ZHOU Xiao-ming, HU Geng-kai   

  1. Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, P. R. China
  • Received:2005-06-20 Revised:2005-12-30 Online:2006-08-18 Published:2006-08-18
  • Contact: HU Geng-kai

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: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals