Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory

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dc.contributor.authorGumare, Shantaram M.
dc.contributor.authorAtteshamuddin Shamshuddin, Sayyad
dc.date.accessioned2020-07-20T06:38:23Z
dc.date.available2020-07-20T06:38:23Z
dc.date.issued2020
dc.description.abstract-translatedAnew analytical solution is presented for functionally graded (FG) beams to investigate the bending behaviour under the hygro-thermo-mechanical loading using a new fifth order shear and normal deformation theory (FOSNDT). The material properties of the FG beam are varied along the thickness direction according to the power law index. In the present theory, a polynomial shape function is expanded up to fifth-order in terms of thickness coordinate to consider the effects of transverse shear and normal deformations. The present theory is free from the shear correction factor. Using the Navier’s solution technique the closed-form solution is obtained for simply supported FG beams. All the results are presented in non-dimensional form and validated it by developing the classical beam theory (CBT), first order shear deformation theory (FSDT by Mindlin) and third order shear deformation theory (TSDT by Reddy) considering the hygro-thermo-mechanical loading effects which is mostly missing in the literature. It is noticed that the presented FOSNDT is very simple and accurate to predict the bending behaviour of FG beams under linear and non-linear hygro-thermo-mechanical loadings.en
dc.format26 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationApplied and Computational Mechanics. 2020, vol. 14, no. 1, p. 5-30.en
dc.identifier.doihttps://doi.org/10.24132/acm.2020.580
dc.identifier.issn1802-680X (Print)
dc.identifier.issn2336-1182 (Online)
dc.identifier.urihttp://hdl.handle.net/11025/38410
dc.language.isoenen
dc.publisherUniversity of West Bohemiaen
dc.rights© University of West Bohemiaen
dc.rights.accessopenAccessen
dc.subjectfunkčně odstupňované paprskycs
dc.subjectpříčná smyková deformacecs
dc.subjectpříčná normální deformacecs
dc.subjectohýbánícs
dc.subjecttepelné namáhánícs
dc.subjecthygro-termomechanické zatíženícs
dc.subject.translatedfunctionally graded beamsen
dc.subject.translatedtransverse shear deformationen
dc.subject.translatedtransverse normal deformationen
dc.subject.translatedbendingen
dc.subject.translatedthermal stressesen
dc.subject.translatedhygro-thermo-mechanical loadingen
dc.titleAnalytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theoryen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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Volume 14, number 1 (2020)
Volume 14, number 1 (2020)