Stress-driven nonlocal theory on nonlinear static analysis of annular nanoplates

Abstract

The axisymmetric bending behavior of an annular nanoplate subjected to transverse load is examined. The analysis is based on the classical plate theory along with stress-driven nonlocal theory (SDT). Geometrical nonlinearity is incorporated into the formulation. The problem is solved by employing the finite difference method (FDM) and differential quadrature method (DQM) together with the Newton-Raphson method. The effect of the plate geometry and the influence of the small-scale effects on the results are addressed in this computational study. The numerical simulations reveal that the stiffness of the plate gets larger with increasing value of the non-dimensional scale parameter.