Modelling of laminated glass interlayer by fractional viscoelasticity

Fractional calculus, i.e. the theory of derivatives and integrals of non-integer order, can be efficiently used for the theoretical modelling of viscoelastic materials. Our research is focused on the polyvinyl butyral which is used as an interlayer for the laminated glass. Polyvinyl butyral can be...

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Main Authors: Barbora Hálková, Jaroslav Schmidt
Format: Article
Language:English
Published: Czech Technical University in Prague 2023-07-01
Series:Acta Polytechnica CTU Proceedings
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Online Access:https://ojs.cvut.cz/ojs/index.php/APP/article/view/9211
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author Barbora Hálková
Jaroslav Schmidt
author_facet Barbora Hálková
Jaroslav Schmidt
author_sort Barbora Hálková
collection DOAJ
description Fractional calculus, i.e. the theory of derivatives and integrals of non-integer order, can be efficiently used for the theoretical modelling of viscoelastic materials. Our research is focused on the polyvinyl butyral which is used as an interlayer for the laminated glass. Polyvinyl butyral can be classified as a viscoelastic material and the introduction of the fractional viscoelasticity seems to be appropriate tool for its description. This paper briefly introduces the springpot element and its connection into more complex theoretical models. We mainly consider the generalized Maxwell model in its standard and fractional form and show their application by fitting the data obtained by experimental analysis.
format Article
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institution Kabale University
issn 2336-5382
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publishDate 2023-07-01
publisher Czech Technical University in Prague
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series Acta Polytechnica CTU Proceedings
spelling doaj-art-6dfe2ec3951f41d98e33631512e847742025-08-20T03:33:38ZengCzech Technical University in PragueActa Polytechnica CTU Proceedings2336-53822023-07-014010.14311/APP.2023.40.0027Modelling of laminated glass interlayer by fractional viscoelasticityBarbora Hálková0Jaroslav Schmidt1Czech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics, Thákurova 7, 166 29 Prague 6, Czech RepublicCzech Technical University in Prague, Faculty of Civil Engineering, Department of Mechanics, Thákurova 7, 166 29 Prague 6, Czech Republic Fractional calculus, i.e. the theory of derivatives and integrals of non-integer order, can be efficiently used for the theoretical modelling of viscoelastic materials. Our research is focused on the polyvinyl butyral which is used as an interlayer for the laminated glass. Polyvinyl butyral can be classified as a viscoelastic material and the introduction of the fractional viscoelasticity seems to be appropriate tool for its description. This paper briefly introduces the springpot element and its connection into more complex theoretical models. We mainly consider the generalized Maxwell model in its standard and fractional form and show their application by fitting the data obtained by experimental analysis. https://ojs.cvut.cz/ojs/index.php/APP/article/view/9211laminated glasspolymer interlayertheory of viscoelasticityfractional viscoelasticityspringpotgeneralized Maxwell model
spellingShingle Barbora Hálková
Jaroslav Schmidt
Modelling of laminated glass interlayer by fractional viscoelasticity
Acta Polytechnica CTU Proceedings
laminated glass
polymer interlayer
theory of viscoelasticity
fractional viscoelasticity
springpot
generalized Maxwell model
title Modelling of laminated glass interlayer by fractional viscoelasticity
title_full Modelling of laminated glass interlayer by fractional viscoelasticity
title_fullStr Modelling of laminated glass interlayer by fractional viscoelasticity
title_full_unstemmed Modelling of laminated glass interlayer by fractional viscoelasticity
title_short Modelling of laminated glass interlayer by fractional viscoelasticity
title_sort modelling of laminated glass interlayer by fractional viscoelasticity
topic laminated glass
polymer interlayer
theory of viscoelasticity
fractional viscoelasticity
springpot
generalized Maxwell model
url https://ojs.cvut.cz/ojs/index.php/APP/article/view/9211
work_keys_str_mv AT barborahalkova modellingoflaminatedglassinterlayerbyfractionalviscoelasticity
AT jaroslavschmidt modellingoflaminatedglassinterlayerbyfractionalviscoelasticity