On the in-plane failure and post-failure behaviour of pristine and perforated single-layer graphene sheets

The tensile behaviour and the pure shear behaviour of pristine and perforated single-layer graphene sheets are numeri- cally investigated through a stick-and-spring model including both material and geometric non-linearities. The model is formulated in finite kinematics and the atomic interactions are modelled through the modified Morse potential, tuned with an improved set of parameters. The progression of the failure process of the sheets is numerically reconstructed using the arc-length strategy. The failure profiles are displayed and discussed. A continualization of the obtained results is made. The engineering strains and stresses and the second Piola and Green–Lagrange tensors are computed and com- pared with results given in the literature.