Shear stress in MR fluid with small shear deformation in bctlattic structure

Abstract

A theoretical model based on BCT lattice structure was developed. Resultant force in the BCT lattice structure was deduced, following the interaction force of two kinds of magnetic particles. According to empirical FroHlich-Kennelly law, the relationship between the magnetic induction and the magnetic field was discussed, and a predictive formula of shear stresses of the BCT lattice structure model was established for the case of small shear deformation. Compared with the experimental data for different particle volume fractions, the theoretical results of the shear stress indicate the effects of the saturation magnetization and the external magnetic field on the shear stress.

Keywords

magnetorheological fluids (MR fluids) / body-centered-tetragonal(BCT) / interaction force / shear stress / small deformation

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