Insights into relative lower frequencies. and buckling loads of monolayer graphene sheets via nonlocal elasticity theory: size-dependent Young's modulus approach

Murmu, T., Adhikari, S. , McCarthy, M. A. and Wang, C. Y. (2013) Insights into relative lower frequencies. and buckling loads of monolayer graphene sheets via nonlocal elasticity theory: size-dependent Young's modulus approach. Nanoscience and Nanotechnology Letters, 5(10), pp. 1097-1102. (doi: 10.1166/nnl.2013.1665)

Abstract

The nonlocal natural frequencies and buckling loads of a graphene sheet decreases as the scale (nonlocal) parameter increases. The reasons for these behaviours of graphene sheet have not been exhaustively addressed earlier. We discuss these important predictions of graphene when modelled via nonlocal elasticity. This letter answers theoretically the cause behind these values of nonlocal frequencies and buckling loads being different (lower) from classical theories. The concept of size-dependent Young's modulus and the pseudo-in plane loads are introduced, which bridges the low effective structural stiffness (or frequency/buckling load) to its physical origin, i.e., nonlocal interaction among atoms.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Adhikari, Professor Sondipon
• Authors: Murmu, T., Adhikari, S., McCarthy, M. A., and Wang, C. Y.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Nanoscience and Nanotechnology Letters
• Publisher: American Scientific Publishers
• ISSN: 1941-4900
• ISSN (Online): 1941-4919