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 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 …

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 …

Size dependent free vibration analysis of nanoplates made of functionally graded materials based on nonlocal elasticity theory with high order theories

A Daneshmehr, A Rajabpoor, A Hadi - International Journal of Engineering …, 2015 - Elsevier
In this paper the free vibration behaviors of the nanoplate made of functionally graded
materials with small scale effects are investigated. To study the small scale effects on natural …

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 …

Size-dependent isogeometric analysis of functionally graded carbon nanotube-reinforced composite nanoplates

P Phung-Van, QX Lieu, H Nguyen-Xuan… - Composite Structures, 2017 - Elsevier
This paper presents an effective and simple computational formulation based on
isogeometric analysis (IGA) and generalized higher-order shear deformation theory …

Buckling of orthotropic micro/nanoscale plates under linearly varying in-plane load via nonlocal continuum mechanics

A Farajpour, AR Shahidi, M Mohammadi… - Composite …, 2012 - Elsevier
Buckling response of orthotropic single layered graphene sheet (SLGS) is investigated
using the nonlocal elasticity theory. Two opposite edges of the plate are subjected to linearly …

Vibration analysis of viscoelastic orthotropic nanoplates resting on viscoelastic medium

S Pouresmaeeli, E Ghavanloo, SA Fazelzadeh - Composite structures, 2013 - Elsevier
The vibration characteristics of a simply supported viscoelastic nanoplate are studied using
the nonlocal plate theory by including the effect of viscoelastic foundation. The material …

Nonlocal elasticity theory for thermal buckling of nanoplates lying on Winkler–Pasternak elastic substrate medium

AM Zenkour, M Sobhy - Physica E: Low-dimensional Systems and …, 2013 - Elsevier
In the present work, thermal buckling of single-layered graphene sheets lying on an elastic
medium is analyzed. For this purpose, the sinusoidal shear deformation plate theory in …