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 …
[HTML][HTML] Vibration analysis of Euler–Bernoulli nanobeams by using finite element method
In the present study, an efficient finite element model for vibration analysis of a nonlocal
Euler–Bernoulli beam has been reported. Nonlocal constitutive equation of Eringen is …
Euler–Bernoulli beam has been reported. Nonlocal constitutive equation of Eringen is …
Static and buckling analysis of functionally graded Timoshenko nanobeams
Investigation of static and buckling behaviors of nonlocal functionally graded (FG)
Timoshenko nanobeam is the main objective of this paper. Eringen nonlocal differential …
Timoshenko nanobeam is the main objective of this paper. Eringen nonlocal differential …
[HTML][HTML] A different approach to Eringen's nonlocal integral stress model with applications for beams
CC Koutsoumaris, KG Eptaimeros… - International Journal of …, 2017 - Elsevier
The nonlocal continuum theory, either integral or differential form, has been formulated,
evolved and widely used in our era to explain size effect phenomena in micro–and nano …
evolved and widely used in our era to explain size effect phenomena in micro–and nano …
Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending
AA Pisano, P Fuschi, C Polizzotto - ZAMM‐Journal of Applied …, 2021 - Wiley Online Library
The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value
problems and to suffer some boundary effects arising from particle interactions impeded by …
problems and to suffer some boundary effects arising from particle interactions impeded by …
[HTML][HTML] Nonlocal integral elasticity: 2D finite element based solutions
A finite element based method, theorized in the context of nonlocal integral elasticity and
founded on a nonlocal total potential energy principle, is numerically implemented for …
founded on a nonlocal total potential energy principle, is numerically implemented for …
Size effects of small-scale beams in bending addressed with a strain-difference based nonlocal elasticity theory
P Fuschi, AA Pisano, C Polizzotto - International Journal of Mechanical …, 2019 - Elsevier
A strain-difference based nonlocal elasticity model devised by the authors elsewhere
(Polizzotto et al., Int. J. Solids Struct. 25 (2006) 308–333) is applied to small-scale …
(Polizzotto et al., Int. J. Solids Struct. 25 (2006) 308–333) is applied to small-scale …
Bending, buckling and free vibration analysis of Euler-Bernoulli nanobeams using Eringen's nonlocal integral model via finite element method
In the present study, finite element formulations are derived for static bending, linear
buckling and free vibration analysis of nanobeam structures by utilizing the integral form of …
buckling and free vibration analysis of nanobeam structures by utilizing the integral form of …
Deformation of atomic models and their equivalent continuum counterparts using Eringen's two-phase local/nonlocal model
The aim of this contribution is to formulate equivalent continuum finite element model for two-
dimensional atomic arrays under plane-stress condition, based on Eringen's two phase …
dimensional atomic arrays under plane-stress condition, based on Eringen's two phase …
[图书][B] Local and nonlocal micromechanics of heterogeneous materials
VA Buryachenko - 2022 - Springer
Materials that are either manufactured or occur in nature and used both in industry and in
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …
our daily lives (metals, rocks, wood, soil, suspensions, and biological tissue) are very …