[HTML][HTML] A unified size-dependent plate model based on nonlocal strain gradient theory including surface effects

L Lu, X Guo, J Zhao - Applied Mathematical Modelling, 2019 - Elsevier
Based on the nonlocal strain gradient theory and surface elasticity theory, a unified size-
dependent plate model is developed for buckling analysis of rectangular nanoplates. The …

Nonlocal nonlinear free vibration of functionally graded nanobeams

R Nazemnezhad, S Hosseini-Hashemi - Composite Structures, 2014 - Elsevier
In this paper, nonlinear free vibration of functionally graded (FG) nanobeams with
immovable ends, ie simply supported-simply supported (SS) and simply supported-clamped …

Nonlinear secondary resonance of FG porous silicon nanobeams under periodic hard excitations based on surface elasticity theory

B Xie, S Sahmani, B Safaei, B Xu - Engineering with Computers, 2021 - Springer
To impart desirable material properties, functionally graded (FG) porous silicon has been
produced in which the porosity changes gradually across the material volume. The prime …

Surface elastic shell model for nonlinear primary resonant dynamics of FG porous nanoshells incorporating modal interactions

S Sahmani, AM Fattahi, NA Ahmed - International Journal of Mechanical …, 2020 - Elsevier
The surface to volume ratio becomes significant at nanoscale, so the surface stress plays an
essential role in the mechanical responses of nanostructures. The focus of the present study …

Torsional vibrations investigation of nonlinear nonlocal behavior in terms of functionally graded nanotubes

SJ Shakhlavi, S Hosseini-Hashemi… - International Journal of …, 2020 - Elsevier
The von-Kármán effect on the free torsional vibrations of carbon nanotube made of
functionally graded materials (FGMs) is inspected in this research using the theory of …

On size-dependent large-amplitude free oscillations of FGPM nanoshells incorporating vibrational mode interactions

H Yi, S Sahmani, B Safaei - Archives of Civil and Mechanical Engineering, 2020 - Springer
At nanoscale, surface free energies of the atoms located on the free surfaces of structures
significantly affect their mechanical characteristics. In this study, nonlinear large-amplitude …

[HTML][HTML] Nonlinear free vibrations of functionally graded nanobeams with surface effects

PA Sharabiani, MRH Yazdi - Composites Part B: Engineering, 2013 - Elsevier
Nonlinear free vibration of functionally graded nanobeams is studied in this paper within the
framework of Euler–Bernoulli beam model including the von Kármán geometric nonlinearity …

[HTML][HTML] Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects

A Sarafraz, S Sahmani, MM Aghdam - Applied Mathematical Modelling, 2019 - Elsevier
The main objective of this study is to predict both the subharmonic and superharmonic
resonances of the nonlinear oscillation of nanobeams in the presence of surface free energy …

Phase-field-crystal methodology for modeling of structural transformations

M Greenwood, J Rottler, N Provatas - … E—Statistical, Nonlinear, and Soft Matter …, 2011 - APS
We introduce and characterize free-energy functionals for modeling of solids with different
crystallographic symmetries within the phase-field-crystal methodology. The excess free …

On the mechanics of Kirchhoff and Mindlin plates incorporating surface energy

L Lu, X Guo, J Zhao - International Journal of Engineering Science, 2018 - Elsevier
In this paper, size-dependent Kirchhoff and Mindlin plate models are developed to
investigate the coupling effects of nonlocal stress, strain gradient and surface energy on the …