  The buckling of graphene nano-ribbons containing a grain boundary is studied
using atomistic simulations where free and supported boundary conditions are
invoked. We found that when graphene contains a small angle grain boundary the
buckling strains are larger when the ribbons with free (supported) boundary
condition are subjected to compressive tension parallel (perpendicular) to the
grain boundary. The shape of the deformations of the buckled graphene
nanoribbons depends on the boundary conditions and the presence of the grain
boundary and the direction of applied in-plane compressive tension. Large angle
grain boundary results in smaller buckling strains as compared to perfect
graphene or to a small angle grain boundary.
