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 …

Porosity-dependent vibration analysis of FG microplates embedded by polymeric nanocomposite patches considering hygrothermal effect via an innovative plate …

E Arshid, M Khorasani, Z Soleimani-Javid… - Engineering with …, 2022 - Springer
The sandwich structures contain three or more layers attached to the core. In the current
research, a three-layered sandwich microplate containing functionally graded (FG) porous …

Vibrations of graphene nanoplatelet reinforced functionally gradient piezoelectric composite microplate based on nonlocal theory

JJ Mao, HM Lu, W Zhang, SK Lai - Composite Structures, 2020 - Elsevier
This paper investigates the small-scale effect on the linear and nonlinear vibrations of the
graphene nanoplatelet (GNPL) reinforced functionally gradient piezoelectric composite …

Size-dependent behaviour of functionally graded sandwich microbeams based on the modified strain gradient theory

A Karamanli, TP Vo - Composite Structures, 2020 - Elsevier
This paper studies the bending, buckling and free vibration analyses of functionally graded
(FG) sandwich microbeams using the third-order beam theory. The modified strain gradient …

A microstructure-and surface energy-dependent third-order shear deformation beam model

XL Gao, GY Zhang - Zeitschrift für angewandte Mathematik und Physik, 2015 - Springer
A new non-classical third-order shear deformation model is developed for Reddy–Levinson
beams using a variational formulation based on Hamilton's principle. A modified couple …

A quasi-3D theory for functionally graded porous microbeams based on the modified strain gradient theory

A Karamanli, TP Vo - Composite Structures, 2021 - Elsevier
In this paper, the size-dependent responses of functionally graded (FG) porous microbeams
using a quasi-3D theory and the modified strain gradient theory are investigated. Three …

Size-dependent static and dynamic analysis of Reddy-type micro-beams by strain gradient differential quadrature finite element method

B Zhang, H Li, L Kong, H Shen, X Zhang - Thin-Walled Structures, 2020 - Elsevier
This paper proposes a strain gradient differential quadrature finite element method to
analyze the size-dependent static and dynamic behaviour of Reddy-type micro-beams. This …

Numerical evaluation of beam models based on the modified couple stress theory

YR Kwon, BC Lee - Mechanics of Advanced Materials and …, 2022 - Taylor & Francis
An error in the beam model proposed by Lam, Yang, Chong, Wang, & Tong (2003) for the
modified couple stress theory is found and corrected, and then the corrected model is …

Buckling behavior of nickel microbeams based on reformulated strain gradient theory

A Yıldırım, B Akgöz - Applied Physics A, 2024 - Springer
In this paper, the microstructure-dependent buckling behavior of microbeams is investigated.
The material used for the microbeams is chosen as nickel. The reformulated strain gradient …