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 …

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] 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 …

Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory

M Şimşek, HH Yurtcu - Composite Structures, 2013 - Elsevier
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 …

Nonlocal plate model for free vibrations of single-layered graphene sheets

R Ansari, S Sahmani, B Arash - Physics Letters A, 2010 - Elsevier
Vibration analysis of single-layered graphene sheets (SLGSs) is investigated using nonlocal
continuum plate model. To this end, Eringens's nonlocal elasticity equations are …

A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams

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