In recent years, mechanical characteristics including vibration, bending, buckling and
postbuckling, stability and instability, etc. of small-scaled structures (such as …

The behavior of materials at the nanoscale cannot be studied by classical theories.
Accordingly, new theories have been developed to predict the behavior of materials at the …

This study proposes a new fractional model to show how heat transfers through
nanomaterials by considering the thermoelastic vibration of one-dimensional nanostructures …

Classical continuum theories are incapable of accurately describing the behavior of
nanostructures due to their size dependence. Size-dependent effects such as surface and …

A concise modified gradient elastic Kirchhoff–Love plate model with two length-scale
parameters is proposed based on simplified deformation gradient theory. A sixth-order basic …

Two-dimensional nanomaterials exhibit specific mechanical characteristics essential for
commercialization and industrial applications, such as nano electro-mechanical systems …

This paper provides a comprehensive analysis, using nonlocal stress-driven integral theory,
of the static behavior of a nanoscale beam of bidirectionally graded materials. After a brief …

Vibrational behavior of small-scale functionally graded annular plate based on the first-order
shear deformation theory, and non-local stress-driven model is investigated. For the first …

By employing a hybrid atomistic-continuum model, we can combine the advantages of
atomic and continuum models. In this approach, resonance frequencies are matched to …

Previous studies have shown that Eringen's differential nonlocal model would lead to the ill-
posed mathematical formulation for axisymmetric bending of circular microplates. Based on …