Magnetorheological (MR) fluids represent a class of smart materials whose r
heological properties change in response to the application of a magnetic f
ield. These fluids typically consist of small (mum) magnetizable particles
dispersed in a nonmagnetic carrier fluid that generally contains additives
such as surfactants and antiwear agents [1]. Due to such additives, there i
s an outer nonmagnetic layer on the particles that keeps them from touching
. The god of this paper is to study the effective magnetic behavior of an M
R composite as a function of the interparticle distance. To this end, we pr
esent and employ a model for the effective magnetic properties of MR fluids
with periodic microstructure that; is based on the theory of homogenizatio
n. Finally, we discuss an interpolating formula for the effective permeabil
ity of MR fluids as an extension of the work of Keller [2] and Doyle [3]. (
C) 2001 Elsevier Science Ltd. All rights reserved.