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 …
[HTML][HTML] A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams
The enabling emerging technologies such as nanotechnology increased the demand for
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …
small-size devices. The proper understanding of the nonclassical behavior of nanostructures …
[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 …
Dynamic analysis of nanosize FG rectangular plates based on simple nonlocal quasi 3D HSDT
S Boutaleb, KH Benrahou, A Bakora… - Advances in nano …, 2019 - techno-press.org
In the present work the dynamic analysis of the functionally graded rectangular nanoplates
is studied. The theory of nonlocal elasticity based on the quasi 3D high shear deformation …
is studied. The theory of nonlocal elasticity based on the quasi 3D high shear deformation …
Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory
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 …
graded material (FGM) beam is discussed. The material properties of FG nanobeams are …
Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam
M Mohammadi, A Farajpour, A Moradi… - Engineering Analysis with …, 2022 - Elsevier
The vibration behavior of multilayers piezoelectric nanobeam is investigated in this study.
The governing equations of rotating piezoelectric beams are obtained by utilizing the …
The governing equations of rotating piezoelectric beams are obtained by utilizing the …
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 …
piezoelectric nanobeam are investigated. The governing equations are obtained using the …
Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates
In the present work, a nonlocal continuum model is developed for the nonlinear free
vibration of size-dependent magneto-electro-elastic nanoplates subjected to external …
vibration of size-dependent magneto-electro-elastic nanoplates subjected to external …
A unifying perspective: the relaxed linear micromorphic continuum
We formulate a relaxed linear elastic micromorphic continuum model with symmetric Cauchy
force stresses and curvature contribution depending only on the micro-dislocation tensor …
force stresses and curvature contribution depending only on the micro-dislocation tensor …
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 …