Shear-thickening
fluids that absorb the impact energy of high-velocity
projectiles are of great interest for aerospace and body-armor applications.
In such a frame, we investigate transient states of neat and aqueous
polyelectrolytes (PE) having low molecular weights and containing
poly([2-(methacryloyloxy)ethyl]trimethylammonium) as polycations and
poly(acrylamide-co-acrylic acid) as polyanions. We
compare results with those of bulk water. We employ nonequilibrium
molecular dynamics to simulate oscillatory shear, mainly in the linear
viscoelastic regime. We find that neat PE exhibits properties of a
viscoelastic solid, whereas water and the aqueous mixture of PE conform
to viscoelastic liquids with Maxwellian behavior at low angular frequencies.
Terminal relaxation times are ∼0.499 and ∼1.385 ps for
water and the aqueous mixture of PE, respectively. At high angular
frequencies, storage moduli show anomalous behaviors that correspond
to transitions between shear thinning and shear thickening in complex
shear viscosities. The change in potential energy with the increase
of the angular frequency is mainly driven by intramolecular interactions
for neat PE, whereas short-range Coulomb interactions are the major
contributions for water and the aqueous mixture of PE. Upon observation
of the molecular configurations, only the local polyionic structure
in the aqueous mixture of PE shows improvement when increasing the
angular frequency, whereas the rest remains barely affected. Thus,
the water structure in the aqueous mixture of PE allows the storage
of energy elastically through the hydrogen-bond network at large angular
frequencies, whereas the mechanical contribution of polyions weakens
and fully vanishes at the beginning of shear thinning, explaining
the superimposed data with data of bulk water. Our method and findings
set the path for future molecular simulations in the nonlinear viscoelastic
regime with more complex underlying molecular mechanisms.