  An ordinary state-based peridynamic material model is proposed for single
sheet graphene. The model is calibrated using coarse grained molecular dynamics
simulations. The coarse graining method allows the dependence of bond force on
bond length to be determined, including the horizon. The peridynamic model
allows the horizon to be rescaled, providing a multiscale capability and
allowing for substantial reductions in computational cost compared with
molecular dynamics. The calibrated peridynamic model is compared to
experimental data on the deflection and perforation of a graphene monolayer by
an atomic force microscope probe.
