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 …

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 …

[HTML][HTML] Dynamic instability of magnetically embedded functionally graded porous nanobeams using the strain gradient theory

QH Pham, VK Tran, TT Tran, PC Nguyen… - Alexandria Engineering …, 2022 - Elsevier
A finite element modeling combined with the strain gradient theory (SGT) and the refined
higher-order shear deformation beam theory is developed to study the dynamic instability of …

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 …

Bending, buckling and free vibration analyses of nanobeam-substrate medium systems

S Limkatanyu, W Sae-Long… - Facta Universitatis …, 2022 - casopisi.junis.ni.ac.rs
This study presents a newly developed size-dependent beam-substrate medium model for
bending, buckling, and free-vibration analyses of nanobeams resting on elastic substrate …

A new finite element method framework for axially functionally-graded nanobeam with stress-driven two-phase nonlocal integral model

PL Bian, H Qing, T Yu - Composite Structures, 2022 - Elsevier
Nano-structures always show size effects. In the paper, a new FEM framework is developed
to analyze the mechanical responses of nanobeams made of axially functionally-graded …

Free Vibration of Bi-Directional Functionally Graded Nanobeams Resting on Winkler–Pasternak Foundations

AK Gartia, S Chakraverty - Journal of Vibration Engineering & …, 2024 - Springer
Purpose This study investigates the free vibration characteristics of a simply supported bi-
directional functionally graded nanobeam using the Euler-Bernoulli beam theory. The aim is …

Investigation of flexoelectric effect on nonlinear vibration and dynamic instability of piezoelectric sandwich micro/nanobeam using the nonlocal strain gradient theory

F Shayestenia, M Ghadiri - International Journal of Structural …, 2023 - World Scientific
A size-dependent electromechanical Euler–Bernoulli micro/nanobeam is proposed to
address the nonlinear vibration and instability regions on the basis of nonlocal strain …

Capturing the nonlocal effect using a novel hybrid 8-node plate element based on the Hellinger–Reissner variational principle

H Li, L Yao, C Li, L Guo - Engineering with Computers, 2024 - Springer
Abstract The Hellinger–Reissner variational principle based hybrid finite element method
(FEM) is developed and applied to study the nonlocal mechanics of plates and beams at a …

Finite element modeling and analysis of piezoelectric nanoporous metal foam nanobeam under hygro and nonlinear thermal field

R Selvamani, JB Rexy, F Ebrahimi - Acta Mechanica, 2022 - Springer
The present article studies the finite element modeling of wave propagation characteristics
in a nonlinear thermal piezoelectric hygroscopic nanoporous metal foam nanobeam. The …