A review of size-dependent continuum mechanics models for micro-and nano-structures

MA Roudbari, TD Jorshari, C Lü, R Ansari… - Thin-Walled …, 2022 - Elsevier
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

A review of continuum mechanics models for size-dependent analysis of beams and plates

HT Thai, TP Vo, TK Nguyen, SE Kim - Composite Structures, 2017 - Elsevier
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 …

Nonlocal elasticity in nanobeams: the stress-driven integral model

G Romano, R Barretta - International Journal of Engineering Science, 2017 - Elsevier
Nonlocal elastic models have attracted an increasing amount of attention in the past years,
due to the promising feature of providing a viable simulation for scale effects in nano …

[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 …

[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 and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect

FL Chaht, A Kaci, MSA Houari, A Tounsi… - Steel and Composite …, 2015 - koreascience.kr
This paper addresses theoretically the bending and buckling behaviors of size-dependent
nanobeams made of functionally graded materials (FGMs) including the thickness stretching …

[HTML][HTML] A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

K Bouafia, A Kaci, MSA Houari, A Benzair… - Smart Structures and …, 2017 - koreascience.kr
In this paper, size dependent bending and free flexural vibration behaviors of functionally
graded (FG) nanobeams are investigated using a nonlocal quasi-3D theory in which both …

A nonlocal beam theory for bending, buckling, and vibration of nanobeams

HT Thai - International Journal of Engineering Science, 2012 - Elsevier
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 …

A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes

B Arash, Q Wang - Modeling of carbon nanotubes, graphene and their …, 2014 - Springer
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 …

On the analysis of microbeams

Ç Demir, Ö Civalek - International Journal of Engineering Science, 2017 - Elsevier
The most widely used theory in the analysis of nanostructures is Eringen's nonlocal elasticity
theory. But many researchers have mentioned that this theory has a paradox for the …