Thickness variation parameter in a thin rotating disc by finite deformation

Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional conditio...

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Main Authors: Pankaj Thakur, Singh S.B., Jatinder Kaur
Format: Article
Language:English
Published: University of Belgrade - Faculty of Mechanical Engineering, Belgrade 2013-01-01
Series:FME Transactions
Subjects:
Online Access:https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921302096P.pdf
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author Pankaj Thakur
Singh S.B.
Jatinder Kaur
author_facet Pankaj Thakur
Singh S.B.
Jatinder Kaur
author_sort Pankaj Thakur
collection DOAJ
description Seth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has been observed that effect of thickness for incompressible material of the rotating disc required higher percentage increased in angular speed to become fully plastic as compared to rotating disc made of compressible materials. For flat disc compressible materials required higher percentage increased in angular speed to become fully plastic as compared to disc made of incompressible material. With effect of thickness circumferential stresses are maximum at the external surface for compressible materials as compared to incompressible materials whereas for flats disc circumferential stresses are maximum at the internal surface for incompressible material as compared to compressible materials.
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spelling doaj.art-e0b88078c9cf4e55b7832083be7050262022-12-21T21:33:17ZengUniversity of Belgrade - Faculty of Mechanical Engineering, BelgradeFME Transactions1451-20922406-128X2013-01-01412961021451-20921302096PThickness variation parameter in a thin rotating disc by finite deformationPankaj Thakur0Singh S.B.1Jatinder Kaur2Department of Mathematics, Indus International University Bathu, IndiaDepartment of Mathematics, Punjabi University Patiala, IndiaDepartment of Mathematics, Punjabi University Patiala, IndiaSeth’s transition theory is applied to the problems of thickness variation parameter in a thin rotating disc by finite deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has been observed that effect of thickness for incompressible material of the rotating disc required higher percentage increased in angular speed to become fully plastic as compared to rotating disc made of compressible materials. For flat disc compressible materials required higher percentage increased in angular speed to become fully plastic as compared to disc made of incompressible material. With effect of thickness circumferential stresses are maximum at the external surface for compressible materials as compared to incompressible materials whereas for flats disc circumferential stresses are maximum at the internal surface for incompressible material as compared to compressible materials.https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921302096P.pdfstressesdisplacementdiscangular speedthicknessdeformation
spellingShingle Pankaj Thakur
Singh S.B.
Jatinder Kaur
Thickness variation parameter in a thin rotating disc by finite deformation
FME Transactions
stresses
displacement
disc
angular speed
thickness
deformation
title Thickness variation parameter in a thin rotating disc by finite deformation
title_full Thickness variation parameter in a thin rotating disc by finite deformation
title_fullStr Thickness variation parameter in a thin rotating disc by finite deformation
title_full_unstemmed Thickness variation parameter in a thin rotating disc by finite deformation
title_short Thickness variation parameter in a thin rotating disc by finite deformation
title_sort thickness variation parameter in a thin rotating disc by finite deformation
topic stresses
displacement
disc
angular speed
thickness
deformation
url https://scindeks-clanci.ceon.rs/data/pdf/1451-2092/2013/1451-20921302096P.pdf
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AT jatinderkaur thicknessvariationparameterinathinrotatingdiscbyfinitedeformation