The multi-chain interactions of electrorheological fluids

We present a method of calculating the interaction between two particles in a single chain and between two chains in different structures in a non-pol ar liquid by using the equivalent conductivity plate concept. With this met hod, we obtain the quasi-static shear force-strain relationships and yield stresses of single-chain, 2D close-packed, rectangular and 3D BCT structure s. By comparing the yield stresses with that of a single chain, we draw the conclusions that the interactions between chains in 2D close-packed and BC T structures enhance their yield stresses and that the enhancement becomes more significant as the number of chains increases, whereas the interaction s between chains in a 2D rectangular structure weaken its yield stress. The se results reveal the significant and distinct contribution of the structur e of an electrorheological fluid to its yield stress.