A review of continuum mechanics models for size-dependent analysis of beams and plates

HT Thai, TP Vo, TK Nguyen, SE Kim - Composite Structures, 2017 - Elsevier
This paper presents a comprehensive review on the development of higher-order continuum
models for capturing size effects in small-scale structures. The review mainly focus on the …

Modelling size-dependent bending, buckling and vibrations of 2D triangular lattices by strain gradient elasticity models: applications to sandwich beams and auxetics

S Khakalo, V Balobanov, J Niiranen - International Journal of Engineering …, 2018 - Elsevier
The present work is devoted to the modelling of strongly size-dependent bending, buckling
and vibration phenomena of 2D triangular lattices with the aid of a simplified first strain …

A microstructure-dependent sinusoidal plate model based on the strain gradient elasticity theory

B Akgöz, Ö Civalek - Acta mechanica, 2015 - Springer
A new non-classical sinusoidal plate model is developed on the basis of modified strain
gradient theory. This model takes into account the effects of shear deformation without any …

Nonlinear behaviour of electrically actuated MEMS resonators

MH Ghayesh, H Farokhi, M Amabili - International Journal of Engineering …, 2013 - Elsevier
The present study investigates the nonlinear size-dependent behaviour of an electrically
actuated MEMS resonator based on the modified couple stress theory; the microbeam is …

[HTML][HTML] Nonlinear dynamics of a microscale beam based on the modified couple stress theory

MH Ghayesh, H Farokhi, M Amabili - Composites Part B: Engineering, 2013 - Elsevier
In the present study, the nonlinear resonant dynamics of a microscale beam is studied
numerically. The nonlinear partial differential equation governing the motion of the system is …

Nonlinear forced vibrations of a microbeam based on the strain gradient elasticity theory

MH Ghayesh, M Amabili, H Farokhi - International Journal of Engineering …, 2013 - Elsevier
The nonlinear forced vibrations of a microbeam are investigated in this paper, employing the
strain gradient elasticity theory. The geometrically nonlinear equation of motion of the …

A size-dependent shear deformation beam model based on the strain gradient elasticity theory

B Akgöz, Ö Civalek - International Journal of Engineering Science, 2013 - Elsevier
A new size-dependent higher-order shear deformation beam model is developed based on
modified strain gradient theory. The model captures both the microstructural and shear …

Thermo-mechanical buckling behavior of functionally graded microbeams embedded in elastic medium

B Akgöz, Ö Civalek - International Journal of Engineering Science, 2014 - Elsevier
Thermo-mechanical size-dependent buckling analysis of embedded functionally graded
(FG) microbeams is performed based on sinusoidal shear deformation beam and modified …

Nonlinear dynamics of a geometrically imperfect microbeam based on the modified couple stress theory

H Farokhi, MH Ghayesh, M Amabili - International Journal of Engineering …, 2013 - Elsevier
The present study investigates the nonlinear dynamics of a geometrically imperfect
microbeam numerically on the basis of the modified couple stress theory. Hamilton's …

Buckling analysis of functionally graded microbeams based on the strain gradient theory

B Akgöz, Ö Civalek - Acta Mechanica, 2013 - Springer
The buckling behavior of size-dependent microbeams made of functionally graded materials
(FGMs) for different boundary conditions is investigated on the basis of Bernoulli–Euler …