First-Principles Approach to Dynamic ER Effects in Complex Fluids (Completed) First-principles methods are developed to investigate the dynamic electrorheological (ER) effects in which the suspending particles can have translational or rotational motions. A model based on the relaxation of polarization charge on the particle surfaces is proposed and solved for various experimental conditions. The approach is also applied to the evaluation of the hydrodynamic interactions between the unsteady fluid flow and the suspending particles. The methods will be extended to study the ER effects of coated particles, crystalline particles, and to magnetorheological effects of paramagnetic particles. Moreover, the nonlinear ER effects under a strong applied field will be studied by the same approach. The results may help in the preparation of materials for a variety of potential applications.