  We examine the competition between adhesive and bending energies for
few-layered graphene samples placed on rigid, microscale-corrugated substrates.
Using atomic force microscopy, we show that the graphene undergoes a sharp
"snap-through" transition as a function of layer thickness, where the material
transitions between conforming to the substrate and lying flat on top of the
substrate. By utilizing the critical snap-through thickness in an elasticity
model for the FLG's bending, we extract a value for graphene-surface adhesion
energy that is larger than expected for van der Waals forces.
