▎ 摘　　要

Graphene, due to its remarkable properties, is expected to be a key element for nanomachines and nanoelectromechanical systems (NEMs). Progressively, research on graphene should be shifted from property characterization towards reliability performance. In this context, an initial effort is made here to establish a diagnostic technique, capable of detecting the size and the position of a straight crack in graphene. The formulation is grounded on the fact that the presence of a crack in graphene has a significant impact on its vibration behavior. Not only the crack size but also the position of the crack influences the eigenbehavior of graphene. Hence, in the present study, the free vibration of a cracked and an uncracked graphene sheet of the same size is simulated to compute the first three natural frequencies as well as to calculate the corresponding frequency changes. The simulations are realized by adopting an efficient, atomistic, three-dimensional, spring-based, structural mechanics method. Numerous crack sizes and locations and two representative crack orientations are investigated. Validation of the adopted numerical approach is preceded through comparisons with relevant data found in the literature, regarding the free vibration of pristine graphene. Then, the diagrams of the arisen natural frequency shifts due to the crack are appropriately superposed in common contour maps to enable simple crack identification, i.e., detection of the crack length and position, from contour intersections.