Cylindrical bending of orthotropic plate strip based on nth-order plate theory

In this paper, cylindrical bending of orthotropic plates is presented using nth-order plate theory. Classical plate theory and parabolic shear deformation theory of Reddy can be considered as special cases of present theory. The theory accounts for realistic variation of the transverse shear stress...

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Main Authors: Atteshamuddin Shamshuddin Sayyad, Shantaram Manohar Ghumare, Sachin Tukaram Sasane
Format: Article
Language:English
Published: Mouloud Mammeri University of Tizi-Ouzou 2014-06-01
Series:Journal of Materials and Engineering Structures
Online Access:http://revue.ummto.dz/index.php/JMES/article/view/135
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author Atteshamuddin Shamshuddin Sayyad
Shantaram Manohar Ghumare
Sachin Tukaram Sasane
author_facet Atteshamuddin Shamshuddin Sayyad
Shantaram Manohar Ghumare
Sachin Tukaram Sasane
author_sort Atteshamuddin Shamshuddin Sayyad
collection DOAJ
description In this paper, cylindrical bending of orthotropic plates is presented using nth-order plate theory. Classical plate theory and parabolic shear deformation theory of Reddy can be considered as special cases of present theory. The theory accounts for realistic variation of the transverse shear stress through the thickness of plate and satisfy the traction free conditions at top and bottom surfaces of the plate. The number of unknown variables in the present theory is same as that of first order shear deformation theory. The theory is variationally consistent. The use of shear correction factors which are problem dependent and are normally associated with first order shear deformation theory is avoided in the present theory. The governing equations and associated boundary conditions are derived by the principle of virtual work. Navier solution technique is employed for the simply supported plates. The program has been developed in FORTRAN. The displacement and stresses of a simply supported plate infinitely long in y-direction under sinusoidally distributed load are calculated to demonstrate the accuracy and efficiency of the present theory.
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spelling doaj.art-fd5658b542a04733839719d1d9a093b92022-12-21T19:03:47ZengMouloud Mammeri University of Tizi-OuzouJournal of Materials and Engineering Structures2170-127X2014-06-01124757212Cylindrical bending of orthotropic plate strip based on nth-order plate theoryAtteshamuddin Shamshuddin Sayyad0Shantaram Manohar Ghumare1Sachin Tukaram Sasane2Department of Civil Engineering, College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaDepartment of Civil Engineering, College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaDepartment of Civil Engineering, College of Engineering, University of Pune, Kopargaon-423601, Maharashtra, IndiaIn this paper, cylindrical bending of orthotropic plates is presented using nth-order plate theory. Classical plate theory and parabolic shear deformation theory of Reddy can be considered as special cases of present theory. The theory accounts for realistic variation of the transverse shear stress through the thickness of plate and satisfy the traction free conditions at top and bottom surfaces of the plate. The number of unknown variables in the present theory is same as that of first order shear deformation theory. The theory is variationally consistent. The use of shear correction factors which are problem dependent and are normally associated with first order shear deformation theory is avoided in the present theory. The governing equations and associated boundary conditions are derived by the principle of virtual work. Navier solution technique is employed for the simply supported plates. The program has been developed in FORTRAN. The displacement and stresses of a simply supported plate infinitely long in y-direction under sinusoidally distributed load are calculated to demonstrate the accuracy and efficiency of the present theory.http://revue.ummto.dz/index.php/JMES/article/view/135
spellingShingle Atteshamuddin Shamshuddin Sayyad
Shantaram Manohar Ghumare
Sachin Tukaram Sasane
Cylindrical bending of orthotropic plate strip based on nth-order plate theory
Journal of Materials and Engineering Structures
title Cylindrical bending of orthotropic plate strip based on nth-order plate theory
title_full Cylindrical bending of orthotropic plate strip based on nth-order plate theory
title_fullStr Cylindrical bending of orthotropic plate strip based on nth-order plate theory
title_full_unstemmed Cylindrical bending of orthotropic plate strip based on nth-order plate theory
title_short Cylindrical bending of orthotropic plate strip based on nth-order plate theory
title_sort cylindrical bending of orthotropic plate strip based on nth order plate theory
url http://revue.ummto.dz/index.php/JMES/article/view/135
work_keys_str_mv AT atteshamuddinshamshuddinsayyad cylindricalbendingoforthotropicplatestripbasedonnthorderplatetheory
AT shantarammanoharghumare cylindricalbendingoforthotropicplatestripbasedonnthorderplatetheory
AT sachintukaramsasane cylindricalbendingoforthotropicplatestripbasedonnthorderplatetheory