A review on the mechanics of nanostructures

A Farajpour, MH Ghayesh, H Farokhi - International Journal of Engineering …, 2018 - Elsevier
Understanding the mechanical behaviour of nanostructures is of great importance due to
their applications in nanodevices such as in nanomechanical resonators, nanoscale mass …

[HTML][HTML] A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams

MA Eltaher, ME Khater, SA Emam - Applied Mathematical Modelling, 2016 - Elsevier
The enabling emerging technologies such as nanotechnology increased the demand for
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …

[HTML][HTML] Bending of Euler–Bernoulli beams using Eringen's integral formulation: a paradox resolved

J Fernandez-Saez, R Zaera, JA Loya… - International Journal of …, 2016 - Elsevier
The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …

Nonlinear vibration and stability analysis of rotating functionally graded piezoelectric nanobeams

HN Li, W Wang, SK Lai, LQ Yao, C Li - International Journal of …, 2024 - World Scientific
Presented herein is an investigation for the nonlinear vibration and stability analysis of
rotating functionally graded (FG) piezoelectric nanobeams based on the nonlocal strain …

Free vibration of size-dependent magneto-electro-elastic nanoplates based on the nonlocal theory

LL Ke, YS Wang, J Yang, S Kitipornchai - Acta Mechanica Sinica, 2014 - Springer
In this paper, the free vibration of magnetoelectro-elastic (MEE) nanoplates is investigated
based on the nonlocal theory and Kirchhoff plate theory. The MEE nanoplate is assumed as …

A nonlocal surface theory for surface–bulk interactions and its application to mechanics of nanobeams

Y Jiang, L Li, Y Hu - International Journal of Engineering Science, 2022 - Elsevier
A nonlocal surface theory is proposed for interactions between surface and bulk media of
nanostructures. The nonlocal elasticity theory is generalized to account for nonlocal …

Free vibration of self-powered nanoribbons subjected to thermal-mechanical-electrical fields based on a nonlocal strain gradient theory

C Li, CX Zhu, N Zhang, SH Sui, JB Zhao - Applied Mathematical Modelling, 2022 - Elsevier
This paper is contributed to the studies of dynamic behaviors of a piezoelectric nanoribbon
subjected to thermal-mechanical-electrical fields that is used as an approximate model for …

Nonlinear buckling mode transition analysis in nonlocal couple stress-based stability of FG piezoelectric nanoshells under thermo-electromechanical load

H Liu, S Sahmani, B Safaei - Mechanics of Advanced Materials …, 2023 - Taylor & Francis
Smart materials and structures at the nanoscale represent the main components in
manufacturing plan for nano-electromechanical systems. In this research study, an …

Thermo-electro-mechanical vibration of piezoelectric nanoplates based on the nonlocal theory

C Liu, LL Ke, YS Wang, J Yang, S Kitipornchai - Composite Structures, 2013 - Elsevier
This paper mainly studies the thermo-electro-mechanical free vibration of piezoelectric
nanoplates based the nonlocal theory and Kirchhoff theory. It is assumed that the …

Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures

H Rafii-Tabar, E Ghavanloo, SA Fazelzadeh - Physics Reports, 2016 - Elsevier
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 …