Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model

For the first time since its formulation in 1986, the theoretical approach proposed by Helmis, Heinrich and Straube (HHS model), which considers the contribution of topological restrictions from entanglements to the swelling of polymer networks, is applied to experimental data. The main aspects and...

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Main Authors: B. Basterra-Beroiz, R. Rommel, F. Kayser, S. Westermann, J. L. Valentin, G. Heinrich
Format: Article
Language:English
Published: Budapest University of Technology 2018-08-01
Series:eXPRESS Polymer Letters
Subjects:
Online Access:http://www.expresspolymlett.com/letolt.php?file=EPL-0009056&mi=cd
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author B. Basterra-Beroiz
R. Rommel
F. Kayser
S. Westermann
J. L. Valentin
G. Heinrich
author_facet B. Basterra-Beroiz
R. Rommel
F. Kayser
S. Westermann
J. L. Valentin
G. Heinrich
author_sort B. Basterra-Beroiz
collection DOAJ
description For the first time since its formulation in 1986, the theoretical approach proposed by Helmis, Heinrich and Straube (HHS model), which considers the contribution of topological restrictions from entanglements to the swelling of polymer networks, is applied to experimental data. The main aspects and key equations are reviewed and their application is illustrated for unfilled rubber compounds. The HHS model is based on real networks and gives new perspectives to the interpretation of experimental swelling data for which the entanglement contributions are usually neglected by considering phantom network models. This investigation applies a reliable constrained-chain approach through a deformation-dependent tube model for defining the elastic contribution of swollen networks, which is one of the main limitations on the applicability of classical (affine) Flory-Rehner and (non-affine) phantom models. This short communication intends to provide a baseline for the application and validation of this modern approach for a broader class of rubber materials.
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spelling doaj.art-0252d0ac58d9483f8fd0e5c885a7bf882022-12-22T01:02:03ZengBudapest University of TechnologyeXPRESS Polymer Letters1788-618X2018-08-0112873173910.3144/expresspolymlett.2018.62Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube modelB. Basterra-BeroizR. RommelF. KayserS. WestermannJ. L. ValentinG. HeinrichFor the first time since its formulation in 1986, the theoretical approach proposed by Helmis, Heinrich and Straube (HHS model), which considers the contribution of topological restrictions from entanglements to the swelling of polymer networks, is applied to experimental data. The main aspects and key equations are reviewed and their application is illustrated for unfilled rubber compounds. The HHS model is based on real networks and gives new perspectives to the interpretation of experimental swelling data for which the entanglement contributions are usually neglected by considering phantom network models. This investigation applies a reliable constrained-chain approach through a deformation-dependent tube model for defining the elastic contribution of swollen networks, which is one of the main limitations on the applicability of classical (affine) Flory-Rehner and (non-affine) phantom models. This short communication intends to provide a baseline for the application and validation of this modern approach for a broader class of rubber materials.http://www.expresspolymlett.com/letolt.php?file=EPL-0009056&mi=cdRubberswellingentanglementstube modelcross-link density
spellingShingle B. Basterra-Beroiz
R. Rommel
F. Kayser
S. Westermann
J. L. Valentin
G. Heinrich
Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
eXPRESS Polymer Letters
Rubber
swelling
entanglements
tube model
cross-link density
title Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
title_full Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
title_fullStr Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
title_full_unstemmed Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
title_short Swelling of polymer networks with topological constraints: Application of the Helmis-Heinrich-Straube model
title_sort swelling of polymer networks with topological constraints application of the helmis heinrich straube model
topic Rubber
swelling
entanglements
tube model
cross-link density
url http://www.expresspolymlett.com/letolt.php?file=EPL-0009056&mi=cd
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AT rrommel swellingofpolymernetworkswithtopologicalconstraintsapplicationofthehelmisheinrichstraubemodel
AT fkayser swellingofpolymernetworkswithtopologicalconstraintsapplicationofthehelmisheinrichstraubemodel
AT swestermann swellingofpolymernetworkswithtopologicalconstraintsapplicationofthehelmisheinrichstraubemodel
AT jlvalentin swellingofpolymernetworkswithtopologicalconstraintsapplicationofthehelmisheinrichstraubemodel
AT gheinrich swellingofpolymernetworkswithtopologicalconstraintsapplicationofthehelmisheinrichstraubemodel