Review on nonlocal continuum mechanics: physics, material applicability, and mathematics

M Shaat, E Ghavanloo, SA Fazelzadeh - Mechanics of Materials, 2020 - Elsevier
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 …

State-of-the-art of vibration analysis of small-sized structures by using nonclassical continuum theories of elasticity

AA Nuhu, B Safaei - Archives of Computational Methods in Engineering, 2022 - Springer
Recently, small-sized structures including micro/nanobeams, micro/nanoplates,
micro/nanotubes, micro/nanowires, etc. have received great attention among researchers in …

Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs

S Sahmani, MM Aghdam, T Rabczuk - Composite Structures, 2018 - Elsevier
Because of rapid development of manufacturing technology, functionally graded porous
materials have gained commercially attraction in promoted engineering applications. It is …

Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory

GL She, FG Yuan, YR Ren, HB Liu, WS Xiao - Composite Structures, 2018 - Elsevier
In this paper, the nonlinear bending and vibrational characteristics of porous tubes are
analyzed for the first time. Within the framework of the nonlocal strain gradient theory, a size …

On vibrations of porous nanotubes

GL She, YR Ren, FG Yuan, WS Xiao - International Journal of Engineering …, 2018 - Elsevier
In this study, the vibration behaviors of porous nanotubes are investigated for the first time.
The nonlocal strain gradient theory in conjunction with a refined beam model are employed …

On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting

A Naderi, M Fakher, S Hosseini-Hashemi - Mechanical Systems and Signal …, 2021 - Elsevier
Based on a paradox-free nonlocal theory—two-phase local/nonlocal elasticity—vibration,
buckling, and energy harvesting of piezoelectric nanobeams are investigated for the first …

On a flexomagnetic behavior of composite structures

M Malikan, VA Eremeyev - International Journal of Engineering Science, 2022 - Elsevier
The popularity of the studies is getting further on the flexomagnetic (FM) response of nano-
electro-magneto machines. In spite of this, there are a few incompatibilities with the …

On the bifurcation buckling and vibration of porous nanobeams

P Jankowski, KK Żur, J Kim, JN Reddy - Composite Structures, 2020 - Elsevier
In the present paper, effects of porous material on bifurcation buckling and natural vibrations
of nanobeams are investigated based on the higher-order nonlocal strain gradient theory …

Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory

GL She, KM Yan, YL Zhang, HB Liu, YR Ren - The European Physical …, 2018 - Springer
In this paper, attention is paid to the prediction of wave propagation behaviors of functionally
graded materials (FG) porous nanobeams based on Reddy's higher-order shear …

A unified nonlocal strain gradient plate model for nonlinear axial instability of functionally graded porous micro/nano-plates reinforced with graphene platelets

S Sahmani, MM Aghdam… - Materials Research …, 2018 - iopscience.iop.org
By gradually changing of the porosity across a specific direction, functionally graded porous
materials (FGPMs) are produced which can impart desirable mechanical properties. To …