title: Finite-size effect on the dynamic and sensing performances of graphene resonators: the role of edge stress.
abstract: We have studied the finite-size effect on the dynamic behavior of graphene resonators and their applications in atomic mass detection using a continuum elastic model such as modified plate theory. In particular, we developed a model based on von Karman plate theory with including the edge stress, which arises from the imbalance between the coordination numbers of bulk atoms and edge atoms of graphene. It is shown that as the size of a graphene resonator decreases, the edge stress depending on the edge structure of a graphene resonator plays a critical role on both its dynamic and sensing performances. We found that the resonance behavior of graphene can be tuned not only through edge stress but also through nonlinear vibration, and that the detection sensitivity of a graphene resonator can be controlled by using the edge stress. Our study sheds light on the important role of the finite-size effect in the effective design of graphene resonators for their mass sensing applications.
authors.affiliation: School of Mechanical Engineering, Konkuk University, Seoul 05029, Republic of Korea.
authors.forename: Chang-Wan
authors.initials: CW
authors.lastname: Kim
authors.affiliation: School of Mechanical Engineering, Konkuk University, Seoul 05029, Republic of Korea.
authors.forename: Mai Duc
authors.initials: MD
authors.lastname: Dai
authors.affiliation: Biomechanics Laboratory, College of Sport Science, Sungkyunkwan University (SKKU), Suwon 16419, Republic of Korea.
authors.forename: Kilho
authors.initials: K
authors.lastname: Eom
keywords: edge stress; graphene resonator; mass sensing; nonlinear vibration; sensitivity; size effect