Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate

This paper examines the effect of uniaxially aligned carbon nanotube (CNT) on flexural and free vibration analysis of CNT-reinforced functionally graded plate. The mathematical model includes expansion of Taylor’s series up to the third degree in the thickness co-ordinate. Since there is a parabolic...

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Autores principales: Ansari, Md Irfan, Kumar, Ajay, Fic, Stanisław, Barnat-Hunek, Danuta
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2018
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6316951/
https://www.ncbi.nlm.nih.gov/pubmed/30486420
http://dx.doi.org/10.3390/ma11122387
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author Ansari, Md Irfan
Kumar, Ajay
Fic, Stanisław
Barnat-Hunek, Danuta
author_facet Ansari, Md Irfan
Kumar, Ajay
Fic, Stanisław
Barnat-Hunek, Danuta
author_sort Ansari, Md Irfan
collection PubMed
description This paper examines the effect of uniaxially aligned carbon nanotube (CNT) on flexural and free vibration analysis of CNT-reinforced functionally graded plate. The mathematical model includes expansion of Taylor’s series up to the third degree in the thickness co-ordinate. Since there is a parabolic variation in transverse shear strain deformation across the thickness co-ordinate, the shear correction factor is not necessary. A nine-node two-dimensional (2D) C(0) isoparametric element containing seven nodal unknowns per node was developed in the finite element code. The final material properties of CNT-reinforced functionally graded plate are estimated using the extended rule of mixture. The effect of CNT distribution, boundary condition, volume fraction and loading pattern are studied by developing a finite element code. An additional finite element code was developed for the study of the influence of concentrated mass on free vibration analysis of CNT-reinforced functionally graded plate.
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spelling pubmed-63169512019-01-08 Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate Ansari, Md Irfan Kumar, Ajay Fic, Stanisław Barnat-Hunek, Danuta Materials (Basel) Article This paper examines the effect of uniaxially aligned carbon nanotube (CNT) on flexural and free vibration analysis of CNT-reinforced functionally graded plate. The mathematical model includes expansion of Taylor’s series up to the third degree in the thickness co-ordinate. Since there is a parabolic variation in transverse shear strain deformation across the thickness co-ordinate, the shear correction factor is not necessary. A nine-node two-dimensional (2D) C(0) isoparametric element containing seven nodal unknowns per node was developed in the finite element code. The final material properties of CNT-reinforced functionally graded plate are estimated using the extended rule of mixture. The effect of CNT distribution, boundary condition, volume fraction and loading pattern are studied by developing a finite element code. An additional finite element code was developed for the study of the influence of concentrated mass on free vibration analysis of CNT-reinforced functionally graded plate. MDPI 2018-11-27 /pmc/articles/PMC6316951/ /pubmed/30486420 http://dx.doi.org/10.3390/ma11122387 Text en © 2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Ansari, Md Irfan
Kumar, Ajay
Fic, Stanisław
Barnat-Hunek, Danuta
Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title_full Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title_fullStr Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title_full_unstemmed Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title_short Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate
title_sort flexural and free vibration analysis of cnt-reinforced functionally graded plate
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6316951/
https://www.ncbi.nlm.nih.gov/pubmed/30486420
http://dx.doi.org/10.3390/ma11122387
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AT ficstanisław flexuralandfreevibrationanalysisofcntreinforcedfunctionallygradedplate
AT barnathunekdanuta flexuralandfreevibrationanalysisofcntreinforcedfunctionallygradedplate

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