A nth-order shear deformation theory for composite laminates in cylindrical bending

The present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which...

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Main Authors: Sayyad A. S., Ghugal Y. M.
Format: Article
Language:English
Published: De Gruyter 2015-05-01
Series:Curved and Layered Structures
Subjects:
Online Access:http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0016/cls-2015-0016.xml?format=INT
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author Sayyad A. S.
Ghugal Y. M.
author_facet Sayyad A. S.
Ghugal Y. M.
author_sort Sayyad A. S.
collection DOAJ
description The present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which is normally associated with the first order shear deformation theory. The well-known classical plate theory at (n = 1) and higher order shear deformation theory of Reddy at (n = 3) are the perticular cases of the present theory. The governing equations of equilibrium and boundary conditions are obtained using the principle of virtual work. A simply supported laminated composite plate infinitely long in y-direction is considered for the detail numerical study. A closed form solution for simply supported boundary conditions is obtained using Navier’s technique. The displacements and stresses are obtained for different aspect ratios and modular ratios.
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spelling doaj.art-0012be2bb85b44049e71d96b4dedd8e12022-12-22T01:58:00ZengDe GruyterCurved and Layered Structures2353-73962015-05-012110.1515/cls-2015-0016cls-2015-0016A nth-order shear deformation theory for composite laminates in cylindrical bendingSayyad A. S.0Ghugal Y. M.1Department of Civil Engineering, SRES’s College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaDepartment of Applied Mechanics, Government Engineering College, Karad-415124, Maharashtra, IndiaThe present study investigates whether an nthorder shear deformation theory is applicable for the composite laminates in cylindrical bending. The theory satisfies the traction free conditions at top and bottom surfaces of the plate and does not require problem dependent shear correction factor which is normally associated with the first order shear deformation theory. The well-known classical plate theory at (n = 1) and higher order shear deformation theory of Reddy at (n = 3) are the perticular cases of the present theory. The governing equations of equilibrium and boundary conditions are obtained using the principle of virtual work. A simply supported laminated composite plate infinitely long in y-direction is considered for the detail numerical study. A closed form solution for simply supported boundary conditions is obtained using Navier’s technique. The displacements and stresses are obtained for different aspect ratios and modular ratios.http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0016/cls-2015-0016.xml?format=INTnth-order shear deformation theory shear correction factor traction free conditions laminated composites cylindrical bending
spellingShingle Sayyad A. S.
Ghugal Y. M.
A nth-order shear deformation theory for composite laminates in cylindrical bending
Curved and Layered Structures
nth-order shear deformation theory
shear correction factor
traction free conditions
laminated composites
cylindrical bending
title A nth-order shear deformation theory for composite laminates in cylindrical bending
title_full A nth-order shear deformation theory for composite laminates in cylindrical bending
title_fullStr A nth-order shear deformation theory for composite laminates in cylindrical bending
title_full_unstemmed A nth-order shear deformation theory for composite laminates in cylindrical bending
title_short A nth-order shear deformation theory for composite laminates in cylindrical bending
title_sort nth order shear deformation theory for composite laminates in cylindrical bending
topic nth-order shear deformation theory
shear correction factor
traction free conditions
laminated composites
cylindrical bending
url http://www.degruyter.com/view/j/cls.2015.2.issue-1/cls-2015-0016/cls-2015-0016.xml?format=INT
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