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 …

Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material

L Li, Y Hu - International Journal of Engineering Science, 2016 - Elsevier
Abstract Size-dependent nonlinear Euler-Bernoulli and Timoshenko beam models, which
account for the through-thickness power-law variation of two-constituent functionally graded …

A standard experimental method for determining the material length scale based on modified couple stress theory

Z Li, Y He, J Lei, S Guo, D Liu, L Wang - International Journal of …, 2018 - Elsevier
A standard experimental method for determining the intrinsic material length scale of
modified couple stress theory is proposed based on a non-contact laser Doppler vibration …

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 …

[HTML][HTML] Size-dependent vibration of nickel cantilever microbeams: experiment and gradient elasticity

J Lei, Y He, S Guo, Z Li, D Liu - Aip Advances, 2016 - pubs.aip.org
The size-dependent elasticity of a series of nickel cantilever microbeams was investigated
experimentally for the first time. The experimental results revealed that the dimensionless …

Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric mapping scheme

B Zhang, H Li, L Kong, H Shen, X Zhang - Engineering Analysis with …, 2019 - Elsevier
In this paper, we propose a novel differential quadrature-based geometric mapping scheme
to address the C 1-continuity requirements of the in-plane and out-of-plane kinematic …

Transient dynamics of 2D-FG porous microplates under moving loads using higher order finite element model

A Karamanli, MA Eltaher, S Thai, TP Vo - Engineering Structures, 2023 - Elsevier
This study presents the higher order finite element model to explore the transient vibration of
two-dimensional functionally graded (2D-FG) porous microplate under harmonic moving …

Nonlinear oscillations of functionally graded microplates

MH Ghayesh, H Farokhi, A Gholipour… - International Journal of …, 2018 - Elsevier
The size-dependent nonlinear oscillation characteristics of a functionally graded microplate
is investigated numerically, in which all the displacements, ie in-plane as well as out-of …

Nonlocal strain gradient beam model for nonlinear vibration of prebuckled and postbuckled multilayer functionally graded GPLRC nanobeams

S Sahmani, MM Aghdam - Composite Structures, 2017 - Elsevier
In the current study, a nonlocal strain gradient beam model with third-order distribution of
shear deformation is established to explore the nonlinear vibration of axially-loaded …

Isogeometric analysis of functionally graded carbon nanotube reinforced composite nanoplates using modified couple stress theory

CL Thanh, P Phung-Van, CH Thai, H Nguyen-Xuan… - Composite …, 2018 - Elsevier
In this paper, we present for the first time a size-dependent model based on the modified
couple stress theory (MCST) and isogeometric analysis (IGA) for the static and free vibration …