Insight into the mechanical characteristics of nanoscopic structures is of fundamental interest
and indeed poses a great challenge to the research communities around the world. These …

In the present study, an efficient finite element model for vibration analysis of a nonlocal
Euler–Bernoulli beam has been reported. Nonlocal constitutive equation of Eringen is …

Investigation of static and buckling behaviors of nonlocal functionally graded (FG)
Timoshenko nanobeam is the main objective of this paper. Eringen nonlocal differential …

The nonlocal continuum theory, either integral or differential form, has been formulated,
evolved and widely used in our era to explain size effect phenomena in micro–and nano …

A finite element based method, theorized in the context of nonlocal integral elasticity and
founded on a nonlocal total potential energy principle, is numerically implemented for …

The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value
problems and to suffer some boundary effects arising from particle interactions impeded by …

In the present study, finite element formulations are derived for static bending, linear
buckling and free vibration analysis of nanobeam structures by utilizing the integral form of …

The aim of this contribution is to formulate equivalent continuum finite element model for two-
dimensional atomic arrays under plane-stress condition, based on Eringen's two phase …

A strain-difference based nonlocal elasticity model devised by the authors elsewhere
(Polizzotto et al., Int. J. Solids Struct. 25 (2006) 308–333) is applied to small-scale …

Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …