Title: Analytical solutions for the hygro-thermo-mechanical bending of FG beams using a new fifth order shear and normal deformation theory
Authors: Gumare, Shantaram M.
Atteshamuddin Shamshuddin, Sayyad
Citation: Applied and Computational Mechanics. 2020, vol. 14, no. 1, p. 5-30.
Issue Date: 2020
Publisher: University of West Bohemia
Document type: article
článek
URI: http://hdl.handle.net/11025/38410
ISSN: 1802-680X (Print)
2336-1182 (Online)
Keywords: funkčně odstupňované paprsky;příčná smyková deformace;příčná normální deformace;ohýbání;tepelné namáhání;hygro-termomechanické zatížení
Keywords in different language: functionally graded beams;transverse shear deformation;transverse normal deformation;bending;thermal stresses;hygro-thermo-mechanical loading
Abstract in different language: Anew 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.
Rights: © University of West Bohemia
Appears in Collections:Volume 14, number 1 (2020)
Volume 14, number 1 (2020)

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