A review of size-dependent continuum mechanics models for micro-and nano-structures
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …
debate, which leads to a fundamental question: what steps can be taken to investigate the …
Review on nonlocal continuum mechanics: physics, material applicability, and mathematics
The classical continuum mechanics assumes that a material is a composition of an infinite
number of particles each of which is a point that can only move and interact with its nearest …
number of particles each of which is a point that can only move and interact with its nearest …
Constitutive boundary conditions and paradoxes in nonlocal elastic nanobeams
G Romano, R Barretta, M Diaco… - International Journal of …, 2017 - Elsevier
A debated issue, in applications of Eringen's nonlocal model of elasticity to nanobeams, is
the paradox concerning the solution of simple beam problems, such as the cantilever under …
the paradox concerning the solution of simple beam problems, such as the cantilever under …
Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method
In this study, free vibration analyses of embedded carbon and silica carbide nanotubes lying
on an elastic matrix are performed based on Eringen's nonlocal elasticity theory. These …
on an elastic matrix are performed based on Eringen's nonlocal elasticity theory. These …
Nonlocal elasticity in nanobeams: the stress-driven integral model
G Romano, R Barretta - International Journal of Engineering Science, 2017 - Elsevier
Nonlocal elastic models have attracted an increasing amount of attention in the past years,
due to the promising feature of providing a viable simulation for scale effects in nano …
due to the promising feature of providing a viable simulation for scale effects in nano …
[HTML][HTML] Bending of Euler–Bernoulli beams using Eringen's integral formulation: a paradox resolved
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 …
to address problems in which size effect cannot be disregarded in micro-and nano …
On the analysis of microbeams
The most widely used theory in the analysis of nanostructures is Eringen's nonlocal elasticity
theory. But many researchers have mentioned that this theory has a paradox for the …
theory. But many researchers have mentioned that this theory has a paradox for the …
Vibrations of Bernoulli-Euler beams using the two-phase nonlocal elasticity theory
J Fernández-Sáez, R Zaera - International Journal of Engineering Science, 2017 - Elsevier
In this work the problem of the in-plane free vibrations (axial and bending) of a Bernoulli–
Euler nanobeam using the mixed local/nonlocal Eringen elasticity theory is studied. The …
Euler nanobeam using the mixed local/nonlocal Eringen elasticity theory is studied. The …
A unified integro-differential nonlocal model
P Khodabakhshi, JN Reddy - International Journal of Engineering Science, 2015 - Elsevier
In this paper a unified integro-differential nonlocal elasticity model is presented and its use
in the bending analysis of Euler–Bernoulli beams is illustrated. A general (for an elastic …
in the bending analysis of Euler–Bernoulli beams is illustrated. A general (for an elastic …
Nonlocal continuum-based modeling of mechanical characteristics of nanoscopic structures
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 …
and indeed poses a great challenge to the research communities around the world. These …