this paper is concerned with the surface and small scale effects on transverse vibration of a viscoelastic single-layered graphene sheet (slgs) subjected to an in-plane magnetic field. the slgs is surrounded by an elastic medium which is simulated as visco-pasternak foundation. in order to investigate the small scale effects, the nonlocal elasticity theory is employed due to its simplicity and ...

J. Squire1,3† and A. Bhattacharjee2,3 TAPIR, Mailcode 350-17, California Institute of Technology, Pasadena, CA 91125, USA Department of Astrophysical Sciences and Princeton Plasma Physics Laboratory, Princeton University, Princeton, NJ 08543 Max Planck/Princeton Center for Plasma Physics, Department of Astrophysical Sciences and Princeton Plasma Physics Laboratory, Princeton University, Princet...

surface and small scale effects on free transverse vibration of a single-walled carbon nanotube (swcnt) fitted with y-junction at downstream end conveying viscose fluid is investigated in this article based on euler-bernoulli beam (ebb) model. nonlocal elasticity theory is employed to consider small scale effects due to its simplicity and efficiency. the energy method and hamilton’s principle a...

This paper addresses the influence of boundary conditions and small-scale effect on the free vibration of nano-plates using molecular dynamics (MD) and nonlocal elasticity theory. Based on the MD simulations, Large-scale Atomic/Molecular Massively Parallel Simulator (LAMMPS) is used to obtain fundamental frequencies of single layered graphene sheets (SLGSs) which modeled in this paper as the mo...

The effect of small scale forcing on large scale structures in β-plane twodimensional (2D) turbulence is studied using long-term direct numerical simulations (DNS). We find that nonlinear effects remain strong at all times and for all scales and establish an inverse energy cascade that extends to the largest scales available in the system. The large scale flow develops strong spectral anisotrop...