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 …

A review of available theories and methodologies for the analysis of nano isotropic, nano functionally graded, and CNT reinforced nanocomposite structures

A Garg, HD Chalak, AM Zenkour, MO Belarbi… - … Methods in Engineering, 2021 - Springer
Nanocomposites are making way for potential application in various fields of engineering.
The present article reviews the work carried out on vibration, static and buckling analysis of …

Nonlocal strain gradient IGA numerical solution for static bending, free vibration and buckling of sigmoid FG sandwich nanoplate

T Cuong-Le, KD Nguyen, M Hoang-Le… - Physica B: Condensed …, 2022 - Elsevier
For the first time, a numerical isogeometric numerical solution based on the nonlocal strain
gradient elasticity theory for static bending, free vibration, and buckling of sigmoid …

Extended four-unknown higher-order shear deformation nonlocal theory for bending, buckling and free vibration of functionally graded porous nanoshell resting on …

TT Tran, VK Tran, QH Pham, AM Zenkour - Composite Structures, 2021 - Elsevier
This article aims to study bending, buckling, and free vibration behaviors of the functionally
graded porous (FGP) nanoshell resting on an elastic foundation (EF) including static …

[HTML][HTML] A nonlocal quasi-3D theory for thermal free vibration analysis of functionally graded material nanoplates resting on elastic foundation

QH Pham, VK Tran, TT Tran, T Nguyen-Thoi… - Case Studies in Thermal …, 2021 - Elsevier
This article proposes a finite element method (FEM) based on a quasi-3D nonlocal theory to
study the free vibration of functionally graded material (FGM) nanoplates lying on the elastic …

A finite element formulation using four-unknown incorporating nonlocal theory for bending and free vibration analysis of functionally graded nanoplates resting on …

VK Tran, QH Pham, T Nguyen-Thoi - Engineering with Computers, 2022 - Springer
A finite element model using four-unknown shear deformation theory integrated with the
nonlocal theory is proposed for the bending and free vibration analysis of functionally …

Modified nonlocal elasticity theory for functionally graded materials

H Salehipour, AR Shahidi, H Nahvi - International Journal of Engineering …, 2015 - Elsevier
In this paper, it will be shown that the nonlocal theory of Eringen is not generally suitable for
analysis of functionally graded (FG) materials at micro/nano scale and should be modified …

On vibration of functionally graded sandwich nanoplates in the thermal environment

AA Daikh, A Drai, I Bensaid… - Journal of Sandwich …, 2021 - journals.sagepub.com
This paper deals with the free vibration response of rectangular functionally graded material
sandwich nanoplates with simply supported boundary conditions. The material properties of …

Nonlocal dynamic response analysis of functionally graded porous L-shape nanoplates resting on elastic foundation using finite element formulation

TT Tran, PB Le - Engineering with Computers, 2023 - Springer
This paper proposes a finite element method (FEM) based on a nonlocal theory for the
dynamic response analysis of the functionally graded porous (FGP) L-shape nanoplate lying …

Finite element analysis for functionally graded porous nano-plates resting on elastic foundation

QH Pham, PC Nguyen, VK Tran… - Steel and Composite …, 2021 - koreascience.kr
This paper proposes an improved triangular element based on the strain approach and the
Reissner-Mindlin theory to investigate the static, free vibration, and buckling response of …