Nanomechanical resonators and their applications in biological/chemical detection: Nanomechanics principles

K Eom, HS Park, DS Yoon, T Kwon - Physics Reports, 2011 - Elsevier
Recent advances in nanotechnology have led to the development of nano-electro-
mechanical systems (NEMS) such as nanomechanical resonators, which have recently …

Vibrations of carbon nanotubes and their composites: a review

RF Gibson, EO Ayorinde, YF Wen - Composites science and technology, 2007 - Elsevier
Spurred by the discovery of carbon nanotubes in 1991 and the subsequent nanotechnology
revolution, there has been a marked increase in the volume of scientific and engineering …

Size-dependent vibration response of porous graded nanostructure with FEM and nonlocal continuum model

Y Kumar, A Gupta, A Tounsi - Advances in nano research, 2021 - koreascience.kr
In the present paper, a refined trigonometric higher-order shear deformation theory has
been presented with the conjunction of nonlocal theory for the vibrational response of …

[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 …

Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams

MZ Nejad, A Hadi - International Journal of Engineering Science, 2016 - Elsevier
In this paper, the free vibration analysis of Euler–Bernoulli nano-beams made of bi-
directional functionally graded material (BDFGM) with small scale effects is investigated. To …

Extended four-unknown higher-order shear deformation nonlocal theory for bending, buckling and free vibration of functionally graded porous nanoshell resting on …

TT Tran, VK Tran, QH Pham, AM Zenkour - Composite Structures, 2021 - Elsevier
This article aims to study bending, buckling, and free vibration behaviors of the functionally
graded porous (FGP) nanoshell resting on an elastic foundation (EF) including static …

Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory

O Rahmani, O Pedram - International Journal of Engineering Science, 2014 - Elsevier
In this study Timoshenko beam theory that applies the size dependent effects in functionally
graded material (FGM) beam is discussed. The material properties of FG nanobeams are …

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 …

Size-dependent effective elastic constants of solids containing nano-inhomogeneities with interface stress

HL Duan, J Wang, ZP Huang, BL Karihaloo - Journal of the Mechanics and …, 2005 - Elsevier
The fundamental framework of micromechanical procedure is generalized to take into
account the surface/interface stress effect at the nano-scale. This framework is applied to the …

Wave propagation in carbon nanotubes via nonlocal continuum mechanics

Q Wang - Journal of Applied physics, 2005 - pubs.aip.org
Wave propagation in carbon nanotubes (CNTs) is studied with two nonlocal continuum
mechanics models: elastic Euler-Bernoulli and Timoshenko beam models [Philos. Mag. 41 …