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 …

Nonlocal elasticity theory for graphene modeling and simulation: prospects and challenges

KM Liew, Y Zhang, LW Zhang - Journal of modeling in Mechanics …, 2017 - degruyter.com
This paper presents a literature review of recent research studies on the applications of
nonlocal elasticity theory in the modeling and simulation of graphene sheets (GSs). The …

An exact analytical solution for free vibration of functionally graded circular/annular Mindlin nanoplates via nonlocal elasticity

S Hosseini-Hashemi, M Bedroud, R Nazemnezhad - Composite Structures, 2013 - Elsevier
Using an exact analytical approach, free vibration analysis of thick circular/annular FG
Mindlin nanoplates is investigated in this paper. Eringen nonlocal elasticity theory is …

[HTML][HTML] Finite element buckling analysis of multi-layered graphene sheets on elastic substrate based on nonlocal elasticity theory

A Anjomshoa, AR Shahidi, B Hassani… - Applied Mathematical …, 2014 - Elsevier
Graphene-polymer nano-composites are one of the most applicable engineering
nanostructures with superior mechanical properties. In the present study, a finite element …

Postbuckling analysis of multi-layered graphene sheets under non-uniform biaxial compression

A Farajpour, AA Solghar, A Shahidi - Physica E: Low-dimensional Systems …, 2013 - Elsevier
In this article, the nonlinear buckling characteristics of multi-layered graphene sheets are
investigated. The graphene sheet is modeled as an orthotropic nanoplate with size …

Nonlinear vibration analysis of nano-disks based on nonlocal elasticity theory using homotopy perturbation method

M Shishesaz, M Shariati, A Yaghootian… - International Journal of …, 2019 - World Scientific
This paper introduces a novel approach for small-scale effects on nonlinear free-field
vibration of a nano-disk using nonlocal elasticity theory. The formulation of a nano-disk is …

Nonlocal vibration analysis of circular double-layered graphene sheets resting on an elastic foundation subjected to thermal loading

R Ansari, J Torabi - Acta Mechanica Sinica, 2016 - Springer
Based on the nonlocal elasticity theory, the vibration behavior of circular double-layered
graphene sheets (DLGSs) resting on the Winkler-and Pasternak-type elastic foundations in …

Nanoscale mass sensing based on vibration of single-layered graphene sheet in thermal environments

SA Fazelzadeh, E Ghavanloo - Acta Mechanica Sinica, 2014 - Springer
Based on vibration analysis, single-layered graphene sheet (SLGS) with multiple attached
nanoparticles is developed as nanoscale mass sensor in thermal environments. Graphene …

Transient analysis of single-layered graphene sheet using the kp-Ritz method and nonlocal elasticity theory

Y Zhang, LW Zhang, KM Liew, JL Yu - Applied Mathematics and …, 2015 - Elsevier
In this paper, an investigation on the transient analysis of single-layered graphene sheets
(SLGSs) is performed using the element-free kp-Ritz method. The classical plate theory is …

Vibration analysis of orthotropic circular and elliptical nano-plates embedded in elastic medium based on nonlocal Mindlin plate theory and using Galerkin method

A Anjomshoa, M Tahani - Journal of Mechanical Science and Technology, 2016 - Springer
In the present study a continuum model based on the nonlocal elasticity theory is developed
for free vibration analysis of embedded orthotropic thick circular and elliptical nano-plates …