Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory

A trigonometric beam theory (TBT) is developed for the bending analysis of laminated composite and sandwich beams considering the effect of transverse shear deformation. The axial displacement field uses trigonometric function in terms of thickness coordinate to include the effect of transverse shea...

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Main Authors: Sayyad A. S., Ghugal Y. M., Naik N. S.
Format: Article
Language:English
Published: De Gruyter 2015-03-01
Series:Curved and Layered Structures
Subjects:
Online Access:http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0015/cls-2015-0015.xml?format=INT
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author Sayyad A. S.
Ghugal Y. M.
Naik N. S.
author_facet Sayyad A. S.
Ghugal Y. M.
Naik N. S.
author_sort Sayyad A. S.
collection DOAJ
description A trigonometric beam theory (TBT) is developed for the bending analysis of laminated composite and sandwich beams considering the effect of transverse shear deformation. The axial displacement field uses trigonometric function in terms of thickness coordinate to include the effect of transverse shear deformation. The transverse displacement is considered as a sum of two partial displacements, the displacement due to bending and the displacement due to transverse shearing. Governing equations and boundary conditions are obtained by using the principle of virtual work. To demonstrate the validity of present theory it is applied to the bending analysis of laminated composite and sandwich beams. The numerical results of displacements and stresses obtained by using present theory are presented and compared with those of other trigonometric theories available in literature along with elasticity solution wherever possible.
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spelling doaj.art-bcb9d899fdc440499c760075c541cb882022-12-22T00:47:54ZengDe GruyterCurved and Layered Structures2353-73962015-03-012110.1515/cls-2015-0015cls-2015-0015Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theorySayyad A. S.0Ghugal Y. M.1Naik N. S.2Department of Civil Engineering, SRES’s College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaDepartment of Applied Mechanics, Government Engineering College, Karad-415124, Maharashtra, IndiaDepartment of Civil Engineering, SRES’s College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaA trigonometric beam theory (TBT) is developed for the bending analysis of laminated composite and sandwich beams considering the effect of transverse shear deformation. The axial displacement field uses trigonometric function in terms of thickness coordinate to include the effect of transverse shear deformation. The transverse displacement is considered as a sum of two partial displacements, the displacement due to bending and the displacement due to transverse shearing. Governing equations and boundary conditions are obtained by using the principle of virtual work. To demonstrate the validity of present theory it is applied to the bending analysis of laminated composite and sandwich beams. The numerical results of displacements and stresses obtained by using present theory are presented and compared with those of other trigonometric theories available in literature along with elasticity solution wherever possible.http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0015/cls-2015-0015.xml?format=INTbending shear deformation shear correction factorshear stress trigonometriclaminated sandwich
spellingShingle Sayyad A. S.
Ghugal Y. M.
Naik N. S.
Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
Curved and Layered Structures
bending
shear deformation
shear correction factor
shear stress
trigonometric
laminated
sandwich
title Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
title_full Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
title_fullStr Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
title_full_unstemmed Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
title_short Bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
title_sort bending analysis of laminated composite and sandwich beams according to refined trigonometric beam theory
topic bending
shear deformation
shear correction factor
shear stress
trigonometric
laminated
sandwich
url http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0015/cls-2015-0015.xml?format=INT
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AT ghugalym bendinganalysisoflaminatedcompositeandsandwichbeamsaccordingtorefinedtrigonometricbeamtheory
AT naikns bendinganalysisoflaminatedcompositeandsandwichbeamsaccordingtorefinedtrigonometricbeamtheory