We present results of Brownian dynamics simulations of polymer brushes
under steady and oscillatory shear. The brush is sheared by a bare su
rface and the resulting solvent velocity and polymer dynamics are solv
ed self-consistently. Under steady shear the deformation of the blush
proceeds in two steps: chains tilt in the now direction followed by a
physical thinning of the brush. The brush-effective viscosity increase
s upon compression to near 60% and decreases thereafter. We develop a
scaling based on the Brinkman equation to explain the unusual trends i
n the viscosity. Upon introducing oscillatory shear now in the brush,
we observe large increases in the normal stress and bead density near
the upward surface. Shear-induced collisions of beads in the brush inc
rease the osmotic pressure and thus give rise to these normal forces.
The strain amplitude determines the dynamics during oscillatory now, a
nd we develop scalings for the range of strain amplitude over which th
e normal stress increases occur. The simulation results for a single g
rafted layer are compared to the experiments performed by Klein et al.
for the shearing of two grafted layers.