The stress-strain relationship and the dynamic yield stress in electrorheological fluid under a modified conduction model

By using a modified conduction model and the dipole approximation model respectively, we simulate the stress-strain curve and evaluate the dynamic yield stress through an ideal microstructure model of electrorheological fluid. The static yield strain is larger in our modified conduction model than in the dipole approximation model. Besides, the dynamic yield stress and static yield stress nearly linearly vary as volume fraction in the dipole model, while in our modified model they both exhibit a maximum at about volume fraction φ=0.45. Interpretation about these results is associated with the conduction effect and the inter-chain interactions.