This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …

The enabling emerging technologies such as nanotechnology increased the demand for
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …

A nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration
of nanobeams using the nonlocal differential constitutive relations of Eringen. The theory …

Recent research studies on the application of the nonlocal continuum theory in modeling of
carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum …

In this paper, static bending and buckling of a functionally graded (FG) nanobeam are
examined based on the nonlocal Timoshenko and Euler–Bernoulli beam theory. This non …

Vibration analysis of single-layered graphene sheets (SLGSs) is investigated using nonlocal
continuum plate model. To this end, Eringens's nonlocal elasticity equations are …

In this work, the thermal buckling characteristics of zigzag single-walled boron nitride
(SWBNNT) embedded in a one-parameter elastic medium modeled as Winkler-type …

Investigated herein is the free vibration characteristics of microbeams made of functionally
graded materials (FGMs) based on the strain gradient Timoshenko beam theory. The …

Nonlinear free vibration characteristics of functionally graded (FG) composite micro-beams
reinforced by carbon nanotubes (CNTs) with piezoelectric layers in thermal environment are …

This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending,
buckling, and vibration of nanobeams. The present model is capable of capturing both small …