Defination of length-scale parameter in Eringen’s Nonlocal Elasticity via Nolocal Lattice and Finite Element Formulation

Abstract

Nonlocal elasticity theory is one of the popular approaches for nano mechanic problems. In this study, nonlocal parameter is defined via different approach. Nonlocal finite element formulations for axial vibration of nanorods have been given and some parameters are compared with the lattice dynamics. Weak form and final finite element formulation for axial vibration case have been derived.