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 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 …

[PDF][PDF] Nonlocal effect on the vibration of armchair and zigzag SWCNTs with bending rigidity

M Hussain, MN Naeem, A Tounsi, M Taj - Adv. Nano Res, 2019 - academia.edu
Vibration analysis of carbon nanotubes (CNTs) is very essential field owing to their many
promising applications in tiny instruments. In current study, the Eringen's nonlocal elasticity …

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 …

Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory

R Ansari, R Gholami, S Sahmani - Composite Structures, 2011 - Elsevier
Investigated herein is the free vibration characteristics of microbeams made of functionally
graded materials (FGMs) based on the strain gradient Timoshenko beam theory. The …

[HTML][HTML] On the modeling of carbon nanotubes: a critical review

R Rafiee, RM Moghadam - Composites Part B: Engineering, 2014 - Elsevier
A comprehensive review is conducted on the modeling and simulation of isolated carbon
nanotubes (CNTs) concentrating on all mechanical, buckling, vibrational and thermal …

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 …

Bending and buckling of nonlocal strain gradient elastic beams

XJ Xu, XC Wang, ML Zheng, Z Ma - Composite Structures, 2017 - Elsevier
Featured by the two material length parameters in the nonlocal strain gradient theory, it is
still unknown that what are the boundary conditions of nonlocal strain gradient beams, since …

[HTML][HTML] Large amplitude free vibration of nanobeams with various boundary conditions based on the nonlocal elasticity theory

M Şimşek - Composites Part B: Engineering, 2014 - Elsevier
In this paper, a non-classical beam model based on the Eringen's nonlocal elasticity theory
is proposed for nonlinear vibration of nanobeams with axially immovable ends. This non …

Vibration characteristics of embedded multi-layered graphene sheets with different boundary conditions via nonlocal elasticity

R Ansari, B Arash, H Rouhi - Composite Structures, 2011 - Elsevier
A nonlocal elastic plate model accounting for the small scale effects is developed to
investigate the vibrational behavior of multi-layered graphene sheets under various …