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 …

[HTML][HTML] Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magneto-elastic bending, buckling and …

S Alimirzaei, M Mohammadimehr… - Structural Engineering …, 2019 - koreascience.kr
In this research, the nonlinear static, buckling and vibration analysis of viscoelastic micro-
composite beam reinforced by various distributions of boron nitrid nanotube (BNNT) with …

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 …

A novel microstructure-dependent shear deformable beam model

B Akgöz, Ö Civalek - International Journal of Mechanical Sciences, 2015 - Elsevier
A new size-dependent beam model is introduced on the basis of hyperbolic shear
deformation beam and modified strain gradient theory. The governing differential equations …

Analytical solutions of nonlocal coupled thermoelastic forced vibrations of micro-/nano-beams by means of Green's functions

X Zhao, WD Zhu, YH Li - Journal of sound and vibration, 2020 - Elsevier
Thermoelastic dynamic analysis of micro-/nano-beams is essential in the field of micro-/nano-
electro-mechanical systems (MEMSs/NEMSs). However, the classical coupled thermoelastic …

Size-dependent vibration and stability of moderately thick functionally graded micro-plates using a differential quadrature-based geometric mapping scheme

B Zhang, H Li, L Kong, H Shen, X Zhang - Engineering Analysis with …, 2019 - Elsevier
In this paper, we propose a novel differential quadrature-based geometric mapping scheme
to address the C 1-continuity requirements of the in-plane and out-of-plane kinematic …

Size-dependant behaviour of functionally graded microplates based on the modified strain gradient elasticity theory and isogeometric analysis

S Thai, HT Thai, TP Vo, VI Patel - Computers & Structures, 2017 - Elsevier
This paper presents a robust numerical model, which takes into account both size-
dependent and shear deformation effects, for the bending, buckling and free vibration …

A size-dependent beam model for stability of axially loaded carbon nanotubes surrounded by Pasternak elastic foundation

B Akgöz, Ö Civalek - Composite Structures, 2017 - Elsevier
Microstructure-dependent buckling behavior of single-walled carbon nanotubes (SWCNTs)
surrounded by a two-parameter elastic foundation is investigated. The governing equations …

[HTML][HTML] An efficient size-dependent plate theory for bending, buckling and free vibration analyses of functionally graded microplates resting on elastic foundation

B Zhang, Y He, D Liu, L Shen, J Lei - Applied Mathematical Modelling, 2015 - Elsevier
Based on the strain gradient elasticity theory and a refined shear deformation theory, an
efficient size-dependent plate model is developed to analysis the bending, buckling and free …

Locking-free variational formulations and isogeometric analysis for the Timoshenko beam models of strain gradient and classical elasticity

V Balobanov, J Niiranen - Computer Methods in Applied Mechanics and …, 2018 - Elsevier
The Timoshenko beam bending problem is formulated in the context of strain gradient
elasticity for both static and dynamic analysis. Two non-standard variational formulations in …