A review on the application of nonlocal elastic models in modeling of carbon nanotubes and graphenes

B Arash, Q Wang - Modeling of carbon nanotubes, graphene and their …, 2014 - Springer
Recent research studies on the application of the nonlocal continuum theory in modeling of
carbon nanotubes and graphene sheets are reviewed, and substantial nonlocal continuum …

A review on nanomechanical resonators and their applications in sensors and molecular transportation

B Arash, JW Jiang, T Rabczuk - Applied physics reviews, 2015 - pubs.aip.org
Nanotechnology has opened a new area in science and engineering, leading to the
development of novel nano-electromechanical systems such as nanoresonators with ultra …

Mechanical properties of atomically thin boron nitride and the role of interlayer interactions

A Falin, Q Cai, EJG Santos, D Scullion, D Qian… - Nature …, 2017 - nature.com
Atomically thin boron nitride (BN) nanosheets are important two-dimensional nanomaterials
with many unique properties distinct from those of graphene, but investigation into their …

Thermodynamical bending analysis of P-FG sandwich plates resting on nonlinear visco-Pasternak's elastic foundations

A Tounsi, AH Mostefa, AA Bousahla… - Steel and Composite …, 2023 - koreascience.kr
In this research, the study of the thermoelastic flexural analysis of silicon carbide/Aluminum
graded (FG) sandwich 2D uniform structure (plate) under harmonic sinusoidal temperature …

Nonlocal plate model for free vibrations of single-layered graphene sheets

R Ansari, S Sahmani, B Arash - Physics Letters A, 2010 - Elsevier
Vibration analysis of single-layered graphene sheets (SLGSs) is investigated using nonlocal
continuum plate model. To this end, Eringens's nonlocal elasticity equations are …

Nonlocal elasticity theory for vibration of nanoplates

SC Pradhan, JK Phadikar - Journal of Sound and Vibration, 2009 - Elsevier
Classical plate theory (CLPT) and first-order shear deformation theory (FSDT) of plates are
reformulated using the nonlocal differential constitutive relations of Eringen. The equations …

Variational formulation and finite element analysis for nonlocal elastic nanobeams and nanoplates

JK Phadikar, SC Pradhan - Computational materials science, 2010 - Elsevier
In the present work, finite element formulations for nonlocal elastic (i) Euler–Bernoulli beam
and (ii) Kirchoff plate have been reported. Nonlocal differential elasticity theory is …

Levy type solution method for vibration and buckling of nanoplates using nonlocal elasticity theory

T Aksencer, M Aydogdu - Physica E: Low-dimensional Systems and …, 2011 - Elsevier
In the present study, buckling and vibration of nanoplates are studied using nonlocal
elasticity theory. Navier type solution is used for simply supported plates and Levy type …

Small scale effect on the buckling of single-layered graphene sheets under biaxial compression via nonlocal continuum mechanics

SC Pradhan, T Murmu - Computational materials science, 2009 - Elsevier
In this article, the small scale effect on the buckling analysis of biaxially compressed single-
layered graphene sheets (SLGS) is studied using nonlocal continuum mechanics. The …

Small scale effect on vibration of embedded multilayered graphene sheets based on nonlocal continuum models

SC Pradhan, JK Phadikar - Physics letters A, 2009 - Elsevier
In the present work, vibration analysis of multilayered graphene sheets embedded in
polymer matrix has been carried out employing nonlocal continuum mechanics. Governing …