A review of size-dependent continuum mechanics models for micro-and nano-structures

MA Roudbari, TD Jorshari, C Lü, R Ansari… - Thin-Walled …, 2022 - Elsevier
Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

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 …

Buckling analysis of functionally graded tapered microbeams via Rayleigh–Ritz method

B Akgöz, Ö Civalek - Mathematics, 2022 - mdpi.com
In the present study, the buckling problem of nonhomogeneous microbeams with a variable
cross-section is analyzed. The microcolumn considered in this study is made of functionally …

A new eigenvalue problem solver for thermo‐mechanical vibration of Timoshenko nanobeams by an innovative nonlocal finite element method

HM Numanoğlu, H Ersoy, B Akgöz… - … Methods in the Applied …, 2022 - Wiley Online Library
In this study, size‐dependent thermo‐mechanical vibration analysis of nanobeams is
examined. Size‐dependent dynamic equations are obtained by implementing Hamilton's …

Size-dependent transverse and longitudinal vibrations of embedded carbon and silica carbide nanotubes by nonlocal finite element method

Ö Civalek, B Uzun, MÖ Yaylı, B Akgöz - The European Physical …, 2020 - epjplus.epj.org
In this study, free vibration analyses of embedded carbon and silica carbide nanotubes lying
on an elastic matrix are performed based on Eringen's nonlocal elasticity theory. These …

Vibration analysis of carbon nanotube‐reinforced composite microbeams

Ö Civalek, S Dastjerdi, ŞD Akbaş… - … Methods in the Applied …, 2021 - Wiley Online Library
In the present article, free vibration behavior of carbon nanotube‐reinforced composite
(CNTRC) microbeams is investigated. Carbon nanotubes (CNTs) are distributed in a …

Size-dependent vibration analysis of nanobeams based on the nonlocal strain gradient theory

L Lu, X Guo, J Zhao - International Journal of Engineering Science, 2017 - Elsevier
A size-dependent sinusoidal shear deformation beam model is developed to investigate the
free vibration of nanobeams based on the nonlocal strain gradient theory. The new model …

Vibration analysis of the rotating multilayer piezoelectric Timoshenko nanobeam

M Mohammadi, A Farajpour, A Moradi… - Engineering Analysis with …, 2022 - Elsevier
The vibration behavior of multilayers piezoelectric nanobeam is investigated in this study.
The governing equations of rotating piezoelectric beams are obtained by utilizing the …

Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory

L Li, Y Hu, X Li - International Journal of Mechanical Sciences, 2016 - Elsevier
The longitudinal vibration analysis of small-scaled rods is studied in the framework of the
nonlocal strain gradient theory. The equations of motion and boundary conditions for the …

Adaptive momentum-based optimization to train deep neural network for simulating the static stability of the composite structure

Z Chi, Z Jiang, MM Kamruzzaman… - Engineering with …, 2022 - Springer
This article is the first attempt to employ deep learning to estimate the mechanical
performance of multi-phase systems. Features of the design-points are obtained with the aid …