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 size-dependent models of micro-beam and micro-plate based on the modified couple stress theory

S Kong - Archives of Computational Methods in Engineering, 2022 - Springer
Micro scale experiments demonstrated that the material deformation behaviors of some
metals and polymers deformed elasticity are size dependence, and the modified couple …

Application of Chebyshev–Ritz method for static stability and vibration analysis of nonlocal microstructure-dependent nanostructures

F Ebrahimi, MR Barati, Ö Civalek - Engineering with Computers, 2020 - Springer
This research develops a nonlocal couple stress theory to investigate static stability and free
vibration characteristics of functionally graded (FG) nanobeams. The theory introduces two …

Microstructure-dependent couple stress theories of functionally graded beams

JN Reddy - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
A microstructure-dependent nonlinear Euler–Bernoulli and Timoshenko beam theories
which account for through-thickness power-law variation of a two-constituent material are …

Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position

KS Al-Basyouni, A Tounsi, SR Mahmoud - Composite Structures, 2015 - Elsevier
In this project, a novel unified beam formulation and a modified couple stress theory (MCST)
that considers a variable length scale parameter in conjunction with the neutral axis concept …

Bending responses of graphene nanoplatelets reinforced sandwich cylindrical micro panel with piezoelectric layers

Q Zhang, M Xie, D Zhou, M Habibi… - Mechanics of Advanced …, 2024 - Taylor & Francis
Bending responses of a nanocomposite-reinforced cylindrical panel are studied in this
article. A cylindrical shell panel is assumed in micro scale and sandwiched by piezoelectric …

Free vibration analysis of functionally graded size-dependent nanobeams

MA Eltaher, SA Emam, FF Mahmoud - Applied Mathematics and …, 2012 - Elsevier
This paper presents free vibration analysis of functionally graded (FG) size-dependent
nanobeams using finite element method. The size-dependent FG nanobeam is investigated …

Free vibration analysis of axially functionally graded tapered Bernoulli–Euler microbeams based on the modified couple stress theory

B Akgöz, Ö Civalek - Composite Structures, 2013 - Elsevier
In the present study, vibration response of non-homogenous and non-uniform microbeams
is investigated in conjunction with Bernoulli–Euler beam and modified couple stress theory …

Free vibration and buckling stability of FG nanobeams exposed to magnetic and thermal fields

I Esen, AA Abdelrhmaan, MA Eltaher - Engineering with Computers, 2022 - Springer
Due to the increasing usage of nanostructures in nanotechnology and nanodevice, the
following article aims to investigate the free vibration and buckling behaviours of a …

[HTML][HTML] Effects of thermal and shear deformation on vibration response of functionally graded thick composite microbeams

B Akgöz, Ö Civalek - Composites Part B: Engineering, 2017 - Elsevier
In this paper, thermal and shear deformation effects on the vibrational response of non-
homogeneous microbeams made of functionally graded (FG) materials are carried out. It is …