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 comprehensive review on the vibration analyses of small-scaled plate-based structures by utilizing the nonclassical continuum elasticity theories

AA Nuhu, B Safaei - Thin-Walled Structures, 2022‏ - Elsevier
In recent years, mechanical characteristics including vibration, bending, buckling and
postbuckling, stability and instability, etc. of small-scaled structures (such as …

[HTML][HTML] A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects

L Lu, X Guo, J Zhao - Applied Mathematical Modelling, 2019‏ - Elsevier
Based on the nonlocal strain gradient theory and surface elasticity theory, a unified size-
dependent plate model is developed for buckling analysis of rectangular nanoplates. The …

Buckling and free vibration of the FGM thin micro-plate based on the modified strain gradient theory and the spline finite strip method

M Mirsalehi, M Azhari, H Amoushahi - European Journal of Mechanics-A …, 2017‏ - Elsevier
In the present article the mechanical instability and free vibration of FGM micro-plate based
on the modified strain gradient theory were studied using the spline finite strip method. By …

An efficient size-dependent computational approach for functionally graded isotropic and sandwich microplates based on modified couple stress theory and moving …

CH Thai, AJM Ferreira, J Lee… - International Journal of …, 2018‏ - Elsevier
We present a non-classical model for bending, free vibration and buckling analyses of
functionally graded (FG) isotropic and sandwich microplates based on the modified couple …

Nonlocal vibration of axially moving graphene sheet resting on orthotropic visco-Pasternak foundation under longitudinal magnetic field

AG Arani, E Haghparast, HBA Zarei - Physica B: Condensed Matter, 2016‏ - Elsevier
In the present research, vibration and instability of axially moving single-layered graphene
sheet (SLGS) subjected to magnetic field is investigated. Orthotropic visco-Pasternak …

Buckling analysis of orthotropic nanoplates based on nonlocal strain gradient theory using the higher-order finite strip method (H-FSM)

H Tanzadeh, H Amoushahi - European Journal of Mechanics-A/Solids, 2022‏ - Elsevier
In this paper, a semi-analytical higher-order finite strip method is developed based on the
nonlocal strain gradient theory (NSGT) for buckling analysis of orthotropic nanoplates. NSGT …

On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework

C Zhou, D An, J Zhou, Z Wang, R Li - Applied Mathematical Modelling, 2021‏ - Elsevier
This paper presents a first attempt to explore the symplectic superposition method for
analytic buckling solutions of non-Lévy-type moderately thick rectangular plates, which were …

A nonlocal strain gradient refined plate theory for dynamic instability of embedded graphene sheet including thermal effects

MH Jalaei, Ö Civalek - Composite Structures, 2019‏ - Elsevier
In this study, nonlocal strain gradient theory (NSGT) is applied to examine the dynamic
instability of embedded viscoelastic graphene sheet under periodic axial load including …

Application of modified couple-stress theory to stability and free vibration analysis of single and multi-layered graphene sheets

Z Shafiei, S Sarrami-Foroushani, F Azhari… - Aerospace Science and …, 2020‏ - Elsevier
With the development of nanotechnology, research activities on carbon nanostructures have
increased rapidly. In recent years, due to the extraordinary mechanical properties of …