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 …

Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures

H Rafii-Tabar, E Ghavanloo, SA Fazelzadeh - Physics Reports, 2016 - Elsevier
Insight into the mechanical characteristics of nanoscopic structures is of fundamental interest
and indeed poses a great challenge to the research communities around the world. These …

[HTML][HTML] Free vibration and buckling analyses of magneto-electro-elastic FGM nanoplates based on nonlocal modified higher-order sinusoidal shear deformation …

KK Żur, M Arefi, J Kim, JN Reddy - Composites Part B: Engineering, 2020 - Elsevier
In this study, the free vibration and buckling responses of functionally graded nanoplates
with magneto-electro-elastic coupling are studied for the first time using a nonlocal modified …

[HTML][HTML] Bending of Euler–Bernoulli beams using Eringen's integral formulation: a paradox resolved

J Fernandez-Saez, R Zaera, JA Loya… - International Journal of …, 2016 - Elsevier
The Eringen nonlocal theory of elasticity formulated in differential form has been widely used
to address problems in which size effect cannot be disregarded in micro-and nano …

[PDF][PDF] A nonlocal zeroth-order shear deformation theory for free vibration of functionally graded nanoscale plates resting on elastic foundation

F Bounouara, KH Benrahou, I Belkorissat… - Steel Compos …, 2016 - scholar.archive.org
The objective of this work is to present a zeroth-order shear deformation theory for free
vibration analysis of functionally graded (FG) nanoscale plates resting on elastic foundation …

Microstructure-dependent couple stress theories of functionally graded beams

JN Reddy - Journal of the Mechanics and Physics of Solids, 2011 - Elsevier
A microstructure-dependent nonlinear Euler–Bernoulli and Timoshenko beam theories
which account for through-thickness power-law variation of a two-constituent material are …

Nonlocal nonlinear formulations for bending of classical and shear deformation theories of beams and plates

JN Reddy - International Journal of Engineering Science, 2010 - Elsevier
The classical and shear deformation beam and plate theories are reformulated using the
nonlocal differential constitutive relations of Eringen and the von Kármán nonlinear strains …

Nonlocal third-order shear deformation plate theory with application to bending and vibration of plates

R Aghababaei, JN Reddy - Journal of Sound and Vibration, 2009 - Elsevier
The third-order shear deformation plate theory of Reddy [A simple higher-order theory for
laminated composite plates, J. Appl. Mech. 51 (1984) 745–752] is reformulated using the …

Bending and hygro-thermo-mechanical vibration analysis of a functionally graded porous sandwich nanoshell resting on elastic foundation

QH Pham, TT Tran, VK Tran, PC Nguyen… - Mechanics of …, 2022 - Taylor & Francis
This article presents the finite element method (FEM) used four-unknown shear deformation
theory for the static bending and hygro-thermo-mechanical vibration analysis of sandwich …

Dynamic response of porous functionally graded sandwich nanoplates using nonlocal higher-order isogeometric analysis

QH Pham, PC Nguyen, TT Tran - Composite Structures, 2022 - Elsevier
The main goal of this work is to indicate the dynamic response of sandwich nanoplates with
a porous functionally graded (PFG) core using isogeometric analysis (IGA) based on the …