  Single layer graphene simply-supported on a polymer substrate was subjected
to axial compression and its behavior upon loading was monitored with laser
Raman spectroscopy (LRS). The graphene was found to fail by wrinkling
(buckling) at a critical strain of -0.30% and at a compressive stress of ~1.6
GPa, as revealed by the conversion of the spectroscopic data to actual
stress-strain curves. This contrasts with the value of -0.60% and stress of
~3.8 GPa required for failure initiation in the fully embedded case. To
elucidate the failure mechanisms in the two cases examined, molecular dynamics
simulations employing the AIREBO potential were performed. We assess the impact
of surface roughness, graphene-polymer interaction, and of thermal (phonon)
ripples on the onset of wrinkle formation. Overall good agreement was found
between theory and experiment. As argued herein, the understanding and control
of out-of-plane phenomena upon mechanical loading of graphene are important
prerequisites for the design and function of new graphene-based devices.
