A review on the size-dependent models of micro-beam and micro-plate based on the modified couple stress theory

S Kong - Archives of Computational Methods in Engineering, 2022 - Springer
Micro scale experiments demonstrated that the material deformation behaviors of some
metals and polymers deformed elasticity are size dependence, and the modified couple …

Buckling analysis of arbitrary two-directional functionally graded Euler–Bernoulli nano-beams based on nonlocal elasticity theory

MZ Nejad, A Hadi, A Rastgoo - International Journal of Engineering …, 2016 - Elsevier
Based on the nonlocal elasticity theory, buckling analysis of the nano-beams made of two-
directional functionally graded materials (FGM) with small scale effects is carried out. To the …

Non-local analysis of free vibration of bi-directional functionally graded Euler–Bernoulli nano-beams

MZ Nejad, A Hadi - International Journal of Engineering Science, 2016 - Elsevier
In this paper, the free vibration analysis of Euler–Bernoulli nano-beams made of bi-
directional functionally graded material (BDFGM) with small scale effects is investigated. To …

Bending and vibration of functionally graded microbeams using a new higher order beam theory and the modified couple stress theory

M Şimşek, JN Reddy - International Journal of Engineering Science, 2013 - Elsevier
Static bending and free vibration of functionally graded (FG) microbeams are examined in
this paper based on the modified couple stress theory (MCST) and various higher order …

[PDF][PDF] On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model

I Belkorissat, MSA Houari, A Tounsi, EA Bedia… - Steel Compos …, 2015 - researchgate.net
In this paper, a new nonlocal hyperbolic refined plate model is presented for free vibration
properties of functionally graded (FG) plates. This nonlocal nano-plate model incorporates …

Size dependent bending and vibration analysis of functionally graded micro beams based on modified couple stress theory and neutral surface position

KS Al-Basyouni, A Tounsi, SR Mahmoud - Composite Structures, 2015 - Elsevier
In this project, a novel unified beam formulation and a modified couple stress theory (MCST)
that considers a variable length scale parameter in conjunction with the neutral axis concept …

Analysis and modeling the size effect on vibration of functionally graded nanobeams based on nonlocal Timoshenko beam theory

O Rahmani, O Pedram - International Journal of Engineering Science, 2014 - Elsevier
In this study Timoshenko beam theory that applies the size dependent effects in functionally
graded material (FGM) beam is discussed. The material properties of FG nanobeams are …

Analytical solutions for bending and buckling of functionally graded nanobeams based on the nonlocal Timoshenko beam theory

M Şimşek, HH Yurtcu - Composite Structures, 2013 - Elsevier
In this paper, static bending and buckling of a functionally graded (FG) nanobeam are
examined based on the nonlocal Timoshenko and Euler–Bernoulli beam theory. This non …

A mechanical response of functionally graded nanoscale beam: an assessment of a refined nonlocal shear deformation theory beam theory

A Zemri, MSA Houari, AA Bousahla… - Structural Engineering and …, 2015 - dbpia.co.kr
This paper presents a nonlocal shear deformation beam theory for bending, buckling, and
vibration of functionally graded (FG) nanobeams using the nonlocal differential constitutive …

[PDF][PDF] Size-dependent mechanical behavior of functionally graded trigonometric shear deformable nanobeams including neutral surface position concept

M Ahouel, MSA Houari, EA Bedia… - Steel Compos. Struct, 2016 - scholar.archive.org
A nonlocal trigonometric shear deformation beam theory based on neutral surface position
is developed for bending, buckling, and vibration of functionally graded (FG) nanobeams …