Electrorheological (ER) fluids are fascinating materials that undergo drama
tic reversible changes in their rheological properties upon the application
of electric fields. In many proposed applications, the fluids will be subj
ected to a dynamic stimulus with finite deformation. We use a particle-leve
l simulation method to investigate the dynamic behavior of monolayer ER flu
ids. ER fluids are linear viscoelastic for only very small strain amplitude
s. The transition to nonlinear deformation arises from very slight rearrang
ements of unstable structures. At large strain amplitudes, the behavior is
viscoplastic, while at large dimensionless frequencies (proportional to ome
ga/E-0(2), where omega is the oscillation frequency and E-0 is the electric
field strength), the response is Newtonian for all strain amplitudes. Simu
lation results agree qualitatively with experiments. The dependence of the
flow behavior on the strain amplitude and dimensionless frequency is summar
ized in the form of a Pipkin diagram. (C) 1999 Elsevier Science B.V. All ri
ghts reserved.