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 …

Review on nonlocal continuum mechanics: physics, material applicability, and mathematics

M Shaat, E Ghavanloo, SA Fazelzadeh - Mechanics of Materials, 2020 - Elsevier
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …

Free vibration and buckling analyses of CNT reinforced laminated non-rectangular plates by discrete singular convolution method

Ö Civalek, M Avcar - Engineering with Computers, 2022 - Springer
This paper presents the free vibration and buckling analyses of functionally graded carbon
nanotube-reinforced (FG-CNTR) laminated non-rectangular plates, ie, quadrilateral and …

Electroelastic high-order computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory

X Yu, A Maalla, Z Moradi - Mechanical Systems and Signal Processing, 2022 - Elsevier
Abstract piezoelectric structures can be used in many systems, such as nano-
electromechanical systems (NEMS) and micro-electro-mechanical systems (MEMS) devices …

Bending, buckling and vibration of axially functionally graded beams based on nonlocal strain gradient theory

X Li, L Li, Y Hu, Z Ding, W Deng - Composite Structures, 2017 - Elsevier
A size-dependent inhomogeneous beam model, which accounts for the through-length
power-law variation of a two-constituent axially functionally graded (FG) material, is deduced …

Modified couple stress-based geometrically nonlinear oscillations of porous functionally graded microplates using NURBS-based isogeometric approach

F Fan, Y Xu, S Sahmani, B Safaei - Computer Methods in Applied …, 2020 - Elsevier
In this work, porosity-dependent nonlinear large-amplitude oscillation responses of
rectangular microplates with and without a central square cutout made of a porous …

Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams

N Shafiei, SS Mirjavadi, B MohaselAfshari… - Computer Methods in …, 2017 - Elsevier
This study presents analysis on the vibration behavior of the two-dimensional functionally
graded (2D-FG) nano and microbeams which are made of two kinds of porous materials for …

[HTML][HTML] Free vibration of carbon nanotubes reinforced (CNTR) and functionally graded shells and plates based on FSDT via discrete singular convolution method

Ö Civalek - Composites Part B: Engineering, 2017 - Elsevier
In this study, free vibration analysis of conical and cylindrical shells and annular plates made
of composite laminated and functionally graded materials (FGMs) is investigated. Carbon …

Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory

ZE Hajilak, J Pourghader, D Hashemabadi… - … Based Design of …, 2019 - Taylor & Francis
In this paper, influence of modified strain gradient theory (MSGT) on buckling, free and
forced vibration characteristics of the composite cylindrical nanoshell reinforced with …

Post-buckling analysis of functionally graded nanobeams incorporating nonlocal stress and microstructure-dependent strain gradient effects

L Li, Y Hu - International Journal of Mechanical Sciences, 2017 - Elsevier
On the basis of the nonlocal strain gradient theory, a size-dependent Euler–Bernoulli beam
model is formulated and devoted to investigating the scaling effect on the post-buckling …