  We apply a quasistatic nonlinear model for nonsimple viscoelastic materials
at a finite-strain setting in the Kelvin's-Voigt's rheology to derive a
viscoelastic plate model of von K\'arm\'an type. We start from time-discrete
solutions to a model of three-dimensional viscoelasticity where the viscosity
stress tensor complies with the principle of time-continuous
frame-indifference. Combining the derivation of nonlinear plate theory by
Friesecke, James and M\"{u}ller, and the abstract theory of gradient flows in
metric spaces by Sandier and Serfaty we perform a dimension-reduction from 3D
to 2D and identify weak solutions of viscoelastic form of von K\'arm\'an
plates.
