Dependence of wrinkling geometric patterns on the chirality of monolayer graphene under shear deformation

Molecular dynamic simulations are performed to study the wrinkling behaviors of a rectangular graphene sheet with various chirality angles subject to in-plane shear displacements. The results indicate that the 1/4-power laws, which are for the average out-of-plane amplitude and half-wavelength of the wrinkles as functions of shear strain, are found to be valid for the graphene with all different chirality angles. Moreover, the dependence of wrinkling amplitude and half-wavelength of graphene on the applied shear strain is insensitive to the chirality. It is expected that the research could promote applications of graphene-based materials or nano-mechanical systems in engineering.