  We study theoretically the deposition of Few Layer Graphene sheets onto a
grooved substrate incorporating adhesion between substrate and sheet. We
develop a model to understand the equilibrium of the sheet allowing for partial
conformation of sheet to substrate. This model gives new insight into recent
observations of 'snap-through' from flat to conforming states and emphasizes
the crucial role of substrate shape in determining the nature of this
transition. Our analytical results are consistent with numerical simulations
using a van der Waals-like interaction . Finally we propose a novel substrate
shape that should exhibit a continuous, rather than 'snap-through', transition.
