Boudara, V and Read, DJ orcid.org/0000-0003-1194-9273 (2017) Stochastic and pre-averaged non-linear rheology models for entangled telechelic star polymers. Journal of Rheology, 61 (2). 339. ISSN 0148-6055
Abstract
We present a simplified stochastic model designed to exemplify the non-linear rheology of entangled supramolecular polymeric materials. We have developed a simplified stochastic model for the rheology of entangled telechelic star polymers. As a toy model for entanglement effects, we use the Rolie-Poly equations [1] that we decorate with finite extensibility. Additionally, we include a stretch-dependent probability of detachment for the stickers. In both linear and non-linear regimes, we explore the parameter space, indicating the parameter values for which qualitative changes in response to the applied flow are predicted. Theory and results in the linear rheology regime are consistent with previous more detailed work of van Ruymbeke and co-workers [2]. Finally, we develop a pre-averaged version of the stochastic equations described above to obtain a set of non-stochastic coupled equations that produces very similar predictions but requires less computing resources. This pre-averaged model is based on two tensors representing the attached and detached chain populations and a scalar quantity that represents the fraction of these populations
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2017 The Society of Rheology. This is an author produced version of an article accepted for publication by Journal of Rheology. After it is published, it will be found at http://sor.scitation.org/journal/jor. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 17 Jan 2017 12:14 |
Last Modified: | 11 Apr 2017 02:23 |
Status: | Published |
Publisher: | AIP Publishing |
Identification Number: | 10.1122/1.4974908 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:110645 |