Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …

This paper presents a nonlocal shear deformation beam theory for bending, buckling, and
vibration of functionally graded (FG) nanobeams using the nonlocal differential constitutive …

This paper presents free vibration analysis of functionally graded (FG) size-dependent
nanobeams using finite element method. The size-dependent FG nanobeam is investigated …

In this paper, the size-dependent static-buckling behavior of functionally graded (FG)
nanobeams is investigated on the basis of the nonlocal continuum model. The nonlocal …

In this work the problem of the in-plane free vibrations (axial and bending) of a Bernoulli–
Euler nanobeam using the mixed local/nonlocal Eringen elasticity theory is studied. The …

In this paper a unified integro-differential nonlocal elasticity model is presented and its use
in the bending analysis of Euler–Bernoulli beams is illustrated. A general (for an elastic …

In the present work, finite element formulations for nonlocal elastic (i) Euler–Bernoulli beam
and (ii) Kirchoff plate have been reported. Nonlocal differential elasticity theory is …

A modified functionally graded beam theory based on the neutral axis is exploited to
investigate natural frequencies of macro/nanobeams. The location of neutral axis is …

Despite its popularity, differential form of Eringen nonlocal model leads to some
inconsistencies that have been demonstrated recently for the cantilever beams by showing …