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 …

A review of size-dependent elasticity for nanostructures

M Hosseini, A Hadi, A Malekshahi… - Journal of …, 2018 - jcamech.ut.ac.ir
Nanotechnology is one of the pillars of human life in the future. This technology is growing
fast and many scientists work in this field. The behavior of materials in nano size varies with …

[HTML][HTML] On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model

S Faroughi, A Rahmani, MI Friswell - Applied Mathematical Modelling, 2020 - Elsevier
This paper studies the wave propagation of two-dimensional functionally graded (2D-FG)
porous rotating nano-beams for the first time. The rotating nano-beams are made of two …

The vibration of two-dimensional imperfect functionally graded (2D-FG) porous rotating nanobeams based on general nonlocal theory

A Rahmani, S Faroughi, MI Friswell - Mechanical Systems and Signal …, 2020 - Elsevier
A comprehensive vibrational analysis of bi-directional functionally graded (2D-FG) rotating
nanobeams with porosities is studied for the first time. The beam is modeled based on …

Thermoelastic damping in rectangular microplate/nanoplate resonators based on modified nonlocal strain gradient theory and nonlocal heat conductive law

X Ge, P Li, Y Fang, L Yang - Journal of Thermal Stresses, 2021 - Taylor & Francis
Size effect is a significant factor for accurate estimation of the thermoelastic damping (TED)
in microplate/nanoplate resonators. The actual TED in microstructures/nanostructures is …

Thermomechanical flexural wave propagation responses of FG porous nanoplates in thermal and magnetic fields

R Özmen, I Esen - Acta Mechanica, 2023 - Springer
This study uses higher-order plate and nonlocal strain gradient elasticity theories to
investigate the thermo-mechanical bending wave propagation of porous functionally graded …

Bending of Euler–Bernoulli nanobeams based on the strain-driven and stress-driven nonlocal integral models: a numerical approach

MF Oskouie, R Ansari, H Rouhi - Acta Mechanica Sinica, 2018 - Springer
Eringen's nonlocal elasticity theory is extensively employed for the analysis of
nanostructures because it is able to capture nanoscale effects. Previous studies have …

Vibration analysis of rotating rods based on the nonlocal elasticity theory and coupled displacement field

A Babaei, CX Yang - Microsystem Technologies, 2019 - Springer
Free longitudinal vibration analysis of a rotating rod based on the Eringen's nonlocal
elasticity is studied in this paper. Rod is supposed to rotate around a fixed axis with a …

A review on the size-dependent bulking, vibration and, wave propagation of nanostructures

J Wang, Y Yu, X Zhao, J Sun, Y Wang… - Journal of Physics …, 2023 - iopscience.iop.org
Size effect is a typical characteristic of micro-/nano-materials, which can contribute to a
variety of size-dependent behaviors, phenomena, and properties, such as stiffness …

Dynamic modeling of non-cylindrical curved viscoelastic single-walled carbon nanotubes based on the second gradient theory

M Malikan, VB Nguyen, R Dimitri… - Materials Research …, 2019 - iopscience.iop.org
This paper is devoted to the theoretical study of the dynamic response of non-cylindrical
curved viscoelastic single-walled carbon nanotubes (SWCNTs). The curved nanotubes are …