STATIC BENDING ANALYSIS OF ANNULAR NANOPLATES RESTING ON ELASTIC FOUNDATION USING NONLOCAL ELASTICITY THEORY

Abstract

This article presents an application of finite element algorithm for static bending analysis of the functionally graded porous (FGP) annular nanoplate resting on the elastic foundation (EF) using nonlocal elasticity theory. The FGP materials with two parameters are the volume fraction index (k) and the porosity volume fraction (ξ) was used in two cases of even and uneven porosity. The EF includes Winkler-stiffness (k1) and Pasternak-stiffness (k2). For the first time, the stress and displacement of the FGP annular nanoplates are established using an eight-node plate element (Q8). Numerical results of the proposed method are compared with those of published works to verify the accuracy and reliability. Furthermore, the impacts of some factors such as the elastic foundation and material on the static bending of FGP nanoplates resting on the EF are studied in detail.