Radial Point Interpolation Method for Isotropic Nanoplates in Bending Using Strain Gradient Theory

Abstract

This paper presents the static bending of isotropic Kirchhoff’s nanoplates modelled using the second-order strain gradient theory. The numerical analysis is conducted using mesh free methods instead of traditional finite elements. To the best of the authors’ knowledge, no such meshless methods have been employed in the analysis of strain gradient nanoplates. Hermite radial point interpolation method is used to approximate the bending degrees of freedom. Plates with different geometries and simply supported boundary conditions are studied. The results are then compared with the analytical solution available in the literature.