Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT

In this paper, static analysis of in-plane heterogeneous laminated composite plates is numerically studied. The Mindlin’s theory which considers linear transverse shear deformation has been implemented. The governing partial differential equation is satisfied by a weighted residual integration. Cheb...

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Main Authors: M. Azizpooryan, N. Noormohammadi
Format: Article
Language:fas
Published: Isfahan University of Technology 2021-09-01
Series:Ravish/hā-yi ̒adadī dar Muhandisī
Subjects:
Online Access:http://jcme.iut.ac.ir/article-1-827-en.html
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author M. Azizpooryan
N. Noormohammadi
author_facet M. Azizpooryan
N. Noormohammadi
author_sort M. Azizpooryan
collection DOAJ
description In this paper, static analysis of in-plane heterogeneous laminated composite plates is numerically studied. The Mindlin’s theory which considers linear transverse shear deformation has been implemented. The governing partial differential equation is satisfied by a weighted residual integration. Chebyshev polynomials of the first kind are used as basis functions and exponential functions make up the weight functions of the integration. The emerging integrals may be composed of some pre-evaluated 1D normalized ones, which effectively paces up the solution progress. To verify the method, several examples of homogeneous as well as heterogeneous plates with various lamination schemes and boundary conditions have been solved. Results are compared with those from the literature or by commercial codes, which reveal excellent accuracy of the proposed method.
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spelling doaj.art-543e3839e5ce4e9989502e6e2041a30c2022-12-22T04:07:08ZfasIsfahan University of TechnologyRavish/hā-yi ̒adadī dar Muhandisī2228-76982423-57412021-09-014015977Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDTM. Azizpooryan0N. Noormohammadi1 Department of Civil Engineering, Isfahan University of Technology, Isfahan, Iran Department of Civil Engineering, Isfahan University of Technology, Isfahan, Iran In this paper, static analysis of in-plane heterogeneous laminated composite plates is numerically studied. The Mindlin’s theory which considers linear transverse shear deformation has been implemented. The governing partial differential equation is satisfied by a weighted residual integration. Chebyshev polynomials of the first kind are used as basis functions and exponential functions make up the weight functions of the integration. The emerging integrals may be composed of some pre-evaluated 1D normalized ones, which effectively paces up the solution progress. To verify the method, several examples of homogeneous as well as heterogeneous plates with various lamination schemes and boundary conditions have been solved. Results are compared with those from the literature or by commercial codes, which reveal excellent accuracy of the proposed method.http://jcme.iut.ac.ir/article-1-827-en.htmlequilibrated basis functionsmoderately thick plateheterogeneouscompositechebyshev
spellingShingle M. Azizpooryan
N. Noormohammadi
Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
Ravish/hā-yi ̒adadī dar Muhandisī
equilibrated basis functions
moderately thick plate
heterogeneous
composite
chebyshev
title Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
title_full Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
title_fullStr Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
title_full_unstemmed Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
title_short Static Analysis of in-Plane Heterogeneous Laminated Composite Plates Using Equilibrated Basis Functions Based on FSDT
title_sort static analysis of in plane heterogeneous laminated composite plates using equilibrated basis functions based on fsdt
topic equilibrated basis functions
moderately thick plate
heterogeneous
composite
chebyshev
url http://jcme.iut.ac.ir/article-1-827-en.html
work_keys_str_mv AT mazizpooryan staticanalysisofinplaneheterogeneouslaminatedcompositeplatesusingequilibratedbasisfunctionsbasedonfsdt
AT nnoormohammadi staticanalysisofinplaneheterogeneouslaminatedcompositeplatesusingequilibratedbasisfunctionsbasedonfsdt