Elastic buckling behavior of skew shaped single-layer graphene sheets

A continuum based approach is presented for buckling analysis of single layer graphene sheets with skew shape. The straight-sided quadrilateral graphene field is mapped into a square domain in the computational space using a four-node graphene element. Then, the governing equations and boundary conditions of the graphene are transformed from the physical domain into a square computational domain by using the geometric transformation. Some numerical examples related to buckling loads of skew shaped graphene are presented for different geometric parameters. Results related to buckling loads of the single layer graphene with skew shape have been presented which can serve as benchmark solutions for future investigations. (C) 2013 Elsevier B. V. All rights reserved.