Peridynamics (PD) is a novel continuum mechanics theory established by Stewart Silling in
2000. The roots of PD can be traced back to the early works of Gabrio Piola according to …

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 …

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 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 …

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 …

This work focuses on the behavior of non-local shear deformation beam theory for the
vibration of functionally graded (FG) nanobeams with porosities that may occur inside the …

In reality, there are two phenomena should be considered to describe behaviors of
nanostructures adequately and accurately. The first one is the surface properties, especially …