[HTML][HTML] On the mechanics of FG nanobeams: a review with numerical analysis

AS Sayyad, L Hadji, A Tounsi - Forces in Mechanics, 2023 - Elsevier
Since the classical continuum theories are insufficient to account the small size effects of
nanobeams, the nonlocal continuum theories such as Eringen's nonlocal elasticity theory …

Nonlocal strain gradient finite element procedure for hygro-thermal vibration analysis of bidirectional functionally graded porous nanobeams

QH Pham, VK Tran, PC Nguyen - Waves in Random and Complex …, 2023 - Taylor & Francis
This paper presents the hygro-thermal vibration analysis of bidirectional functionally graded
(BDFG) porous nanobeams resting on elastic foundation based on a nonlocal strain …

On geometrically nonlinear mechanics of nanocomposite beams

MS Vaccaro - International Journal of Engineering Science, 2022 - Elsevier
Nowadays, nanocomposite beams undergoing large displacements are effectively
employed as basic structural components of small-scale electro-mechanical systems, such …

Nonlocal elasticity for nanostructures: a review of recent achievements

R Barretta, F Marotti de Sciarra, MS Vaccaro - Encyclopedia, 2023 - mdpi.com
Recent developments in modeling and analysis of nanostructures are illustrated and
discussed in this paper. Starting with the early theories of nonlocal elastic continua, a …

A size-dependent meshless model for free vibration analysis of 2D-functionally graded multiple nanobeam system

I Ahmadi, M Davarpanah, J Sladek, V Sladek… - Journal of the Brazilian …, 2024 - Springer
In this study, the free vibration of two-directional functionally graded (2D-FG) multiple
nanobeam system (MNBS) are studied by considering Winkler elastic medium between …

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 …

Free vibration, buckling and dynamical stability of Timoshenko micro/nano-beam supported on Winkler-Pasternak foundation under a follower axial load

Z Li, B Lin, B Chen, X Zhao, Y Li - International Journal of Structural …, 2022 - World Scientific
Axially loaded micro/nano-beams supported on foundations are extensively applied in
micro/nano-electro-mechanical systems. This paper deals with the problems of free …

Free vibration analysis of graded porous circular micro/nanoplates with various boundary conditions based on the nonlocal elasticity theory

Q Li, S Wang, J Zhang - ZAMM‐Journal of Applied Mathematics …, 2023 - Wiley Online Library
In this article, the free vibrations of graded porous circular nanoplates subjected to various
boundary conditions have been investigated. It is assumed that the performance of graded …

Dynamics of a non-circular-shaped nanorod with deformable boundaries based on second-order strain gradient theory

Ö Civalek, M Akpınar, B Uzun, MÖ Yaylı - Archive of Applied Mechanics, 2024 - Springer
In this study, a general method is developed for the torsional vibration of non-circular-
shaped nanorods with varying boundary conditions using second-order strain gradient …

Semi-analytical and numerical post-buckling analysis of nanobeam using two-phase nonlocal integral models

H Qing, Y Cai - Archive of Applied Mechanics, 2023 - Springer
Strain-and stress-driven two-phase local/nonlocal integral models are applied to study
nonlinear post-buckling behaviors of Euler–Bernoulli nanobeam under different boundary …