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 …

Forced vibration analysis of functionally graded beams using nonlocal elasticity

B Uymaz - Composite Structures, 2013 - Elsevier
A forced vibration analysis of functionally graded (FG) nanobeams is considered based on
the nonlocal elasticity theory. The solution is obtained by using Navier method for various …

Resonance analysis of composite curved microbeams reinforced with graphene nanoplatelets

GL She, HB Liu, B Karami - Thin-Walled Structures, 2021 - Elsevier
In this paper, the forced resonance vibration analysis of curved micro-size beams made of
graphene nanoplatelets (GNPs) reinforced polymer composites is presented. The …

A nonlocal beam theory for bending, buckling, and vibration of nanobeams

HT Thai - International Journal of Engineering Science, 2012 - Elsevier
A nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration
of nanobeams using the nonlocal differential constitutive relations of Eringen. The theory …

Buckling analysis of Euler–Bernoulli beams using Eringen's two-phase nonlocal model

X Zhu, Y Wang, HH Dai - International Journal of Engineering Science, 2017 - Elsevier
The inconsistency of Eringen's nonlocal differential model, as applied to investigate
nanostructures, has recently triggered the study of nonlocal integral models. In this paper we …

Vibration analysis of a single-walled carbon nanotube under action of a moving harmonic load based on nonlocal elasticity theory

M Şimşek - Physica E: Low-dimensional Systems and …, 2010 - Elsevier
In the present study, forced vibration of a simply supported single-walled carbon nanotube
(SWCNT) subjected to a moving harmonic load is investigated by using nonlocal Euler …

Vibration analysis of nano-single-layered graphene sheets embedded in elastic medium based on nonlocal elasticity theory

T Murmu, SC Pradhan - Journal of Applied Physics, 2009 - pubs.aip.org
In the present work, nonlocal elasticity theory has been implemented to study the vibration
response of single-layered graphene (SLGS) sheets. The nonlocal elasticity theory accounts …

Nonlocal effects in the forced vibration of an elastically connected double-carbon nanotube system under a moving nanoparticle

M Şimşek - Computational Materials Science, 2011 - Elsevier
This study presents an analytical method for the forced vibration of an elastically connected
double-carbon nanotube system (DCNTS) carrying a moving nanoparticle based on the …

Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory

SC Pradhan, T Murmu - Physica E: Low-dimensional Systems and …, 2010 - Elsevier
Nonlocal elasticity theory is implemented to investigate the buckling behavior of single-
layered graphene sheet (SLGS) embedded in an elastic medium. Nonlocal elasticity theory …

Exact solutions of bending deflections for nano-beams and nano-plates based on nonlocal elasticity theory

JW Yan, LH Tong, C Li, Y Zhu, ZW Wang - Composite Structures, 2015 - Elsevier
In this paper, we applied the nonlocal continuum mechanics to deriving a complete and
asymptotic representation of the infinite higher-order governing differential equations for …