Theory of elasticity at the nanoscale

HL Duan, J Wang, BL Karihaloo - Advances in applied mechanics, 2009 - Elsevier
We have shown in a series of recent papers that the classical theory of elasticity can be
extended to the nanoscale by supplementing the equations of elasticity for the bulk material …

Thermomechanics of solids with lower-dimensional energetics: on the importance of surface, interface, and curve structures at the nanoscale. A unifying review

A Javili, A McBride… - Applied …, 2013 - asmedigitalcollection.asme.org
Surfaces and interfaces can significantly influence the overall response of a solid body.
Their behavior is well described by continuum theories that endow the surface and interface …

Size dependence of Young's modulus in ZnO nanowires

CQ Chen, Y Shi, YS Zhang, J Zhu, YJ Yan - Physical review letters, 2006 - APS
We report a size dependence of Young's modulus in [0001] oriented ZnO nanowires (NWs)
with diameters ranging from 17 to 550 nm for the first time. The measured modulus for NWs …

Surface effect on the elastic behavior of static bending nanowires

J He, CM Lilley - Nano letters, 2008 - ACS Publications
The surface effect from surface stress and surface elasticity on the elastic behavior of
nanowires in static bending is incorporated into Euler− Bernoulli beam theory via the …

Surface effects on elastic properties of silver nanowires: contact atomic-force microscopy

GY **g, HL Duan, XM Sun, ZS Zhang, J Xu, YD Li… - Physical Review B …, 2006 - APS
Silver nanowires with different diameters were synthesized by a hydrothermal chemical
method. The elastic properties of the nanowires with outer diameters ranging from 20 to 140 …

Coriolis effects on the thermo-mechanical vibration analysis of the rotating multilayer piezoelectric nanobeam

M Mohammadi, A Farajpour, A Rastgoo - Acta Mechanica, 2023 - Springer
In this study, the Coriolis effects on the vibration behavior of the multilayer rotating
piezoelectric nanobeam are investigated. The governing equations are obtained using the …

On effective properties of materials at the nano-and microscales considering surface effects

VA Eremeyev - Acta Mechanica, 2016 - Springer
In the last years, the rapid increase in the technical capability to control and design materials
at the nanoscale has pushed toward an intensive exploitation of new possibilities …

A nonlocal surface theory for surface–bulk interactions and its application to mechanics of nanobeams

Y Jiang, L Li, Y Hu - International Journal of Engineering Science, 2022 - Elsevier
A nonlocal surface theory is proposed for interactions between surface and bulk media of
nanostructures. The nonlocal elasticity theory is generalized to account for nonlocal …

[HTML][HTML] Bending analysis of functionally graded nanobeams based on stress-driven nonlocal model incorporating surface energy effects

R Penna - International Journal of Engineering Science, 2023 - Elsevier
The bending response of Bernoulli-Euler nanobeams made of a functionally graded (FG)
material with different cross-sectional shapes is investigated in this manuscript by a stress …

Deformation of FCC nanowires by twinning and slip

HS Park, K Gall, JA Zimmerman - Journal of the Mechanics and Physics of …, 2006 - Elsevier
We present atomistic simulations of the tensile and compressive loading of single crystal
face-centered cubic (FCC) nanowires with〈 100〉 and〈 110〉 orientations to study the …