Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory

Salamat‐talab, Mazaher; Nateghi, Alireza; Torabi, Jalal

doi:10.1016/j.ijmecsci.2012.02.004

Cited by 178 publications

(45 citation statements)

References 39 publications

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“…There have been a number of sizedependent models developed for FG beams based on the modified couple stress theory [8][9][10][11][12][13][14][15][16][17][18]. These size-dependent models adopted various beam theories such as EulerBernoulli beam theory (EBT) [8][9][10][11], Timoshenko beam theory (TBT) [9][10][12][13][14], and higher-order shear deformation beam theory (HBT) [10,[15][16][17][18]. It is worth noting that the EBT is the simplest one but it neglects the shear deformation effect which is significant in advanced composites like FGMs.…”

Section: Introductionmentioning

confidence: 99%

Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

Thai

Nguyen

et al. 2015

Composite Structures

113

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Northumbria University has developed Northumbria Research Link (NRL) to enable users to access the University's research output. Copyright © and moral rights for items on NRL are retained by the individual author(s) and/or other copyright owners. Single copies of full items can be reproduced, displayed or performed, and given to third parties in any format or medium for personal research or study, educational, or not-for-profit purposes without prior permission or charge, provided the authors, title and full bibliographic details are given, as well as a hyperlink and/or URL to the original metadata page. The content must not be changed in any way. Full items must not be sold commercially in any format or medium without formal permission of the copyright holder. The full policy is available online: http://nrl.northumbria.ac.uk/policies.html This document may differ from the final, published version of the research and has been made available online in accordance with publisher policies. To read and/or cite from the published version of the research, please visit the publisher's website (a subscription may be required.) Accepted ManuscriptSize-dependent behaviour of functionally graded sandwich microbeams based on the modified couple stress theory Huu-Tai Thai, Thuc P. Vo, Trung-Kien Nguyen, Jaehong Lee PII:S0263-8223 (14) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. The results reveals that the inclusion of the size effects results in an increase in the beam stiffness, and consequently, leads to a reduction of deflections and stresses and an increase in natural frequencies and critical buckling loads. Such effects are more pronounced when the beam depth was small, but they become negligible with the increase of the beam depth.

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Section: Introductionmentioning

confidence: 99%

Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

Thai

Nguyen

et al. 2015

Composite Structures

113

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“…In this subsection, parameter studies are presented to investigate the influences of the material length scale parameter to thickness ratio and the power law index on the [26,39].…”

Section: Parameter Studiesmentioning

confidence: 99%

A unified higher order plate theory for functionally graded microplates based on the modified couple stress theory

Lou

2015

Composite Structures

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“…Often molecular dynamics (MD) simulations and continuum mechanics models are used to deal with the theoretical analysis and numerical simulations of small-scaled structures. Since MD simulation is complex and time consuming, continuum mechanics models are often used to predict of the mechanical characteristics and physical phenomenons of smallscaled structures, including classical continuum models [9][10][11][12][13] and nonlocal continuum theory [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28], modified couple stress models [29][30][31][32][33][34][35][36][37][38][39] and strain gradient theory [40][41][42][43][44][45][46][47].…”

Section: Introductionmentioning

confidence: 99%

Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory

Ling

2015

Composite Structures

234

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Static and dynamic analysis of third-order shear deformation FG micro beam based on modified couple stress theory

Cited by 178 publications

References 39 publications

Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

Size-dependent behavior of functionally graded sandwich microbeams based on the modified couple stress theory

A unified higher order plate theory for functionally graded microplates based on the modified couple stress theory

Flexural wave propagation in small-scaled functionally graded beams via a nonlocal strain gradient theory

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