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 …

[HTML][HTML] 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 …

Electroelastic high-order computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory

X Yu, A Maalla, Z Moradi - Mechanical Systems and Signal Processing, 2022 - Elsevier
Abstract piezoelectric structures can be used in many systems, such as nano-
electromechanical systems (NEMS) and micro-electro-mechanical systems (MEMS) devices …

An effective analytical method for buckling solutions of a restrained FGM nonlocal beam

Ö Civalek, B Uzun, MÖ Yaylı - Computational and Applied Mathematics, 2022 - Springer
This work studies the size-dependent stability analysis of restrained nanobeam with
functionally graded material via nonlocal Euler–Bernoulli beam theory using the Fourier …

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 …

Nonlinear free vibration of a functionally graded nanobeam using nonlocal strain gradient theory and a novel Hamiltonian approach

M Şimşek - International Journal of Engineering Science, 2016 - Elsevier
In this study, a novel size-dependent beam model is proposed for nonlinear free vibration of
a functionally graded (FG) nanobeam with immovable ends based on the nonlocal strain …

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 …