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 of available theories and methodologies for the analysis of nano isotropic, nano functionally graded, and CNT reinforced nanocomposite structures

A Garg, HD Chalak, AM Zenkour, MO Belarbi… - … Methods in Engineering, 2021 - Springer
Nanocomposites are making way for potential application in various fields of engineering.
The present article reviews the work carried out on vibration, static and buckling analysis of …

A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method

HM Numanoğlu, H Ersoy, B Akgöz… - … Methods in the Applied …, 2022 - Wiley Online Library
In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is
examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's …

Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory

GL She, FG Yuan, YR Ren, HB Liu, WS **ao - Composite Structures, 2018 - Elsevier
In this paper, the nonlinear bending and vibrational characteristics of porous tubes are
analyzed for the first time. Within the framework of the nonlocal strain gradient theory, a size …

Nonlocal finite element model for the bending and buckling analysis of functionally graded nanobeams using a novel shear deformation theory

MO Belarbi, AA Daikh, A Garg, T Merzouki… - Composite …, 2021 - Elsevier
In this study, an efficient nonlocal finite element model is developed to investigate the
bending and buckling behavior of functionally graded (FG) nanobeams. New two-node …

On vibration of functionally graded nano-tubes in the thermal environment

N Shafiei, GL She - International journal of engineering science, 2018 - Elsevier
In this paper, attention is paid to the prediction of vibration characteristics of two-dimensional
functionally graded (2D-FG) tubes based on higher order theory. The tubes are formed of …

Vibration and thermal buckling analysis of rotating nonlocal functionally graded nanobeams in thermal environment

J Fang, S Zheng, J **ao, X Zhang - Aerospace Science and Technology, 2020 - Elsevier
A new nonlocal model for free vibration and thermal buckling analysis of rotating
temperature-dependent functionally graded (FG) nanobeams in thermal environment is …

On vibrations of porous nanotubes

GL She, YR Ren, FG Yuan, WS **ao - International Journal of Engineering …, 2018 - Elsevier
In this study, the vibration behaviors of porous nanotubes are investigated for the first time.
The nonlocal strain gradient theory in conjunction with a refined beam model are employed …

On vibrations of functionally graded viscoelastic nanobeams with surface effects

MA Attia, AAA Rahman - International Journal of Engineering Science, 2018 - Elsevier
This paper addresses the size-dependent free vibration of functionally graded viscoelastic
(FGV) nanobeams including the simultaneous effects of the microstructure rotation and …

On bending and buckling responses of perforated nanobeams including surface energy for different beams theories

AA Abdelrahman, MA Eltaher - Engineering with Computers, 2022 - Springer
Perforated beam is essential structural element of Nano-Electro-Mechanical-Systems
(NEMS), whose design needs appropriate modelling of size of holes, hole numbers, and …