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 mechanics of functionally graded nanoscale and microscale structures

MH Ghayesh, A Farajpour - International Journal of Engineering Science, 2019 - Elsevier
This article reviews, for the first time, the mechanical behaviour of functionally graded
structures at small-scale levels. Functionally graded nanoscale and microscale structures …

Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate …

E Arshid, M Khorasani, Z Soleimani-Javid… - Engineering with …, 2022 - Springer
The sandwich structures contain three or more layers attached to the core. In the current
research, a three-layered sandwich microplate containing functionally graded (FG) porous …

Application of the finite element method in the analysis of composite materials: A review

S David Müzel, EP Bonhin, NM Guimarães, ES Guidi - Polymers, 2020 - mdpi.com
The use of composite materials in several sectors, such as aeronautics and automotive, has
been gaining distinction in recent years. However, due to their high costs, as well as unique …

Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory

L Li, Y Hu, X Li - International Journal of Mechanical Sciences, 2016 - Elsevier
The longitudinal vibration analysis of small-scaled rods is studied in the framework of the
nonlocal strain gradient theory. The equations of motion and boundary conditions for the …

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 …

Buckling behavior of a single-layered graphene sheet resting on viscoelastic medium via nonlocal four-unknown integral model

M Bellal, H Hebali, H Heireche, AA Bousahla… - Steel and Composite …, 2020 - dbpia.co.kr
In the present work, the buckling behavior of a single-layered graphene sheet (SLGS)
embedded in visco-Pasternak's medium is studied using nonlocal four-unknown integral …

A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory

B Akgöz, Ö Civalek - Acta mechanica, 2015 - Springer
A new non-classical sinusoidal plate model is developed on the basis of modified strain
gradient theory. This model takes into account the effects of shear deformation without any …

A size-dependent quasi-3D isogeometric model for functionally graded graphene platelet-reinforced composite microplates based on the modified couple stress …

CH Thai, AJM Ferreira, TD Tran, P Phung-Van - Composite Structures, 2020 - Elsevier
The paper presents a size-dependent model based on the NURBS basis functions
integrated with quasi three-dimensional (quasi-3D) shear deformation theory and the …

Static bending and free vibration of a functionally graded piezoelectric microplate based on the modified couple-stress theory

YS Li, E Pan - International Journal of Engineering Science, 2015 - Elsevier
A size-dependent functionally graded piezoelectric microplate model is developed in this
paper. It is based on the modified couple-stress and sinusoidal plate theories. The main …