  Using computational and theoretical approaches, we investigate the
snap-through transition of buckled graphene membranes. Our main interest is
related to the possibility of using the buckled membrane as a plate of
capacitor with memory (memcapacitor). For this purpose, we performed
molecular-dynamics (MD) simulations and elasticity theory calculations of the
up-to-down and down-to-up snap-through transitions for membranes of several
sizes. We have obtained expressions for the threshold switching forces for both
up-to-down and down-to-up transitions. Moreover, the up-to-down threshold
switching force was calculated using the density functional theory (DFT). Our
DFT results are in general agreement with MD and analytical theory findings.
Our systematic approach can be used for the description of other structures,
including nanomechanical and biological ones, experiencing the snap-through
transition.
