Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers

In this study, we conduct finite element implementation of a Gent-Gent hyperelastic model for swollen elastomers. To this end, an inhomogeneous field theory for swollen elastomers is extended using the Gent-Gent model, which includes the effects of limiting chain extensibility and the second strain-...

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Main Authors: Shotaro KIKUCHI, Hiroaki MIYOSHI, Seishiro MATSUBARA, Dai OKUMURA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2020-09-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/86/890/86_20-00233/_pdf/-char/en
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author Shotaro KIKUCHI
Hiroaki MIYOSHI
Seishiro MATSUBARA
Dai OKUMURA
author_facet Shotaro KIKUCHI
Hiroaki MIYOSHI
Seishiro MATSUBARA
Dai OKUMURA
author_sort Shotaro KIKUCHI
collection DOAJ
description In this study, we conduct finite element implementation of a Gent-Gent hyperelastic model for swollen elastomers. To this end, an inhomogeneous field theory for swollen elastomers is extended using the Gent-Gent model, which includes the effects of limiting chain extensibility and the second strain-invariant. The extended theory is implemented into a commercial finite element package using a user-defined material subroutine. The accuracy of the implementation is verified by analyzing Young’s modulus and Poisson’s ratio of swollen elastomers undergoing large deformations. Further, the inflation of a spherical balloon made of swollen elastomers is computed as an example. The results are verified with an analytical prediction and demonstrate the inflation behavior of swollen elastomers.
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spelling doaj.art-5fc50e72f0954fd79cf43cd63cc5b3902022-12-22T04:16:12ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612020-09-018689020-0023320-0023310.1299/transjsme.20-00233transjsmeFinite element implementation of Gent-Gent hyperelastic model for swollen elastomersShotaro KIKUCHI0Hiroaki MIYOSHI1Seishiro MATSUBARA2Dai OKUMURA3Department of Mechanical Systems Engineering, Nagoya UniversityDepartment of Mechanical Systems Engineering, Nagoya UniversityDepartment of Mechanical Systems Engineering, Nagoya UniversityDepartment of Mechanical Systems Engineering, Nagoya UniversityIn this study, we conduct finite element implementation of a Gent-Gent hyperelastic model for swollen elastomers. To this end, an inhomogeneous field theory for swollen elastomers is extended using the Gent-Gent model, which includes the effects of limiting chain extensibility and the second strain-invariant. The extended theory is implemented into a commercial finite element package using a user-defined material subroutine. The accuracy of the implementation is verified by analyzing Young’s modulus and Poisson’s ratio of swollen elastomers undergoing large deformations. Further, the inflation of a spherical balloon made of swollen elastomers is computed as an example. The results are verified with an analytical prediction and demonstrate the inflation behavior of swollen elastomers.https://www.jstage.jst.go.jp/article/transjsme/86/890/86_20-00233/_pdf/-char/enfinite element implementationgent-gent hyperelastic modelswollen elastomersswellinginflation behaviorinstabilitysnap through buckling
spellingShingle Shotaro KIKUCHI
Hiroaki MIYOSHI
Seishiro MATSUBARA
Dai OKUMURA
Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
Nihon Kikai Gakkai ronbunshu
finite element implementation
gent-gent hyperelastic model
swollen elastomers
swelling
inflation behavior
instability
snap through buckling
title Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
title_full Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
title_fullStr Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
title_full_unstemmed Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
title_short Finite element implementation of Gent-Gent hyperelastic model for swollen elastomers
title_sort finite element implementation of gent gent hyperelastic model for swollen elastomers
topic finite element implementation
gent-gent hyperelastic model
swollen elastomers
swelling
inflation behavior
instability
snap through buckling
url https://www.jstage.jst.go.jp/article/transjsme/86/890/86_20-00233/_pdf/-char/en
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AT seishiromatsubara finiteelementimplementationofgentgenthyperelasticmodelforswollenelastomers
AT daiokumura finiteelementimplementationofgentgenthyperelasticmodelforswollenelastomers