Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels

In this study, the authors analyze laminated composite panels supported on an elastic foundation considering the effects of transverse normal strain. A 2-parameter, i.e., Winkler and Pasternak foundation model is assumed to represent the interaction between the panels and the foundation. The theory...

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Main Authors: Sayyad A. S., Palekar S. P., Shinde B. M.
Format: Article
Language:English
Published: University of West Bohemia 2023-06-01
Series:Applied and Computational Mechanics
Subjects:
Online Access:https://www.kme.zcu.cz/acm/acm/article/view/808/634
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author Sayyad A. S.
Palekar S. P.
Shinde B. M.
author_facet Sayyad A. S.
Palekar S. P.
Shinde B. M.
author_sort Sayyad A. S.
collection DOAJ
description In this study, the authors analyze laminated composite panels supported on an elastic foundation considering the effects of transverse normal strain. A 2-parameter, i.e., Winkler and Pasternak foundation model is assumed to represent the interaction between the panels and the foundation. The theory presented here takes into account the effects of transverse shear and normal strains. The theory plots realistic distributions of the transverse shear stress through the plate thickness and satisfies the shear-free conditions at the extreme surfaces of the panel. The differential equations of the present model are obtained from the principle of virtual work. The laminated composite panel resting on the elastic foundation is analyzed for simply supported boundary conditions. For the verification purpose, the presented problems are also solved using the Reddy's model, Mindlin's model, and the classical model. Good agreement is observed between the numerical results obtained using the present model and the other models.
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spelling doaj.art-d02368e442314d3cb7823f30da0bbd202023-06-28T11:27:38ZengUniversity of West BohemiaApplied and Computational Mechanics1802-680X2336-11822023-06-01171537010.24132/acm.2023.808Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panelsSayyad A. S.0Palekar S. P.1Shinde B. M.2Savitribai Phule Pune University, Department of Structural Engineering, Kopargaon, IndiaSavitribai Phule Pune University, Department of Mechanical Engineering, Kopargaon, IndiaSavitribai Phule Pune University, Department of Structural Engineering, Kopargaon, IndiaIn this study, the authors analyze laminated composite panels supported on an elastic foundation considering the effects of transverse normal strain. A 2-parameter, i.e., Winkler and Pasternak foundation model is assumed to represent the interaction between the panels and the foundation. The theory presented here takes into account the effects of transverse shear and normal strains. The theory plots realistic distributions of the transverse shear stress through the plate thickness and satisfies the shear-free conditions at the extreme surfaces of the panel. The differential equations of the present model are obtained from the principle of virtual work. The laminated composite panel resting on the elastic foundation is analyzed for simply supported boundary conditions. For the verification purpose, the presented problems are also solved using the Reddy's model, Mindlin's model, and the classical model. Good agreement is observed between the numerical results obtained using the present model and the other models.https://www.kme.zcu.cz/acm/acm/article/view/808/634laminated panels2-parameter foundationbending analysisshear deformationtransverse normal straintransverse shear stresses
spellingShingle Sayyad A. S.
Palekar S. P.
Shinde B. M.
Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
Applied and Computational Mechanics
laminated panels
2-parameter foundation
bending analysis
shear deformation
transverse normal strain
transverse shear stresses
title Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
title_full Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
title_fullStr Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
title_full_unstemmed Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
title_short Higher order computational model considering the effects of transverse normal strain and 2-parameter elastic foundation for the bending of laminated panels
title_sort higher order computational model considering the effects of transverse normal strain and 2 parameter elastic foundation for the bending of laminated panels
topic laminated panels
2-parameter foundation
bending analysis
shear deformation
transverse normal strain
transverse shear stresses
url https://www.kme.zcu.cz/acm/acm/article/view/808/634
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AT palekarsp higherordercomputationalmodelconsideringtheeffectsoftransversenormalstrainand2parameterelasticfoundationforthebendingoflaminatedpanels
AT shindebm higherordercomputationalmodelconsideringtheeffectsoftransversenormalstrainand2parameterelasticfoundationforthebendingoflaminatedpanels