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Theory of Flexible Polymer Networks: Elasticity and Heterogeneities
A review of the main elasticity models of flexible polymer networks is presented. Classical models of phantom networks suggest that the networks have a tree-like structure. The conformations of their strands are described by the model of a combined chain, which consists of the network strand and two...
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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MDPI
2020
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Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7240557/ https://www.ncbi.nlm.nih.gov/pubmed/32244601 http://dx.doi.org/10.3390/polym12040767 |
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author | Panyukov, Sergey |
author_facet | Panyukov, Sergey |
author_sort | Panyukov, Sergey |
collection | PubMed |
description | A review of the main elasticity models of flexible polymer networks is presented. Classical models of phantom networks suggest that the networks have a tree-like structure. The conformations of their strands are described by the model of a combined chain, which consists of the network strand and two virtual chains attached to its ends. The distribution of lengths of virtual chains in real polydisperse networks is calculated using the results of the presented replica model of polymer networks. This model describes actual networks having strongly overlapping and interconnected loops of finite sizes. The conformations of their strands are characterized by the generalized combined chain model. The model of a sliding tube is represented, which describes the general anisotropic deformations of an entangled network in the melt. I propose a generalization of this model to describe the crossover between the entangled and phantom regimes of a swollen network. The obtained dependence of the Mooney-Rivlin parameters [Formula: see text] and [Formula: see text] on the polymer volume fraction is in agreement with experiments. The main results of the theory of heterogeneities in polymer networks are also discussed. |
format | Online Article Text |
id | pubmed-7240557 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-72405572020-06-11 Theory of Flexible Polymer Networks: Elasticity and Heterogeneities Panyukov, Sergey Polymers (Basel) Review A review of the main elasticity models of flexible polymer networks is presented. Classical models of phantom networks suggest that the networks have a tree-like structure. The conformations of their strands are described by the model of a combined chain, which consists of the network strand and two virtual chains attached to its ends. The distribution of lengths of virtual chains in real polydisperse networks is calculated using the results of the presented replica model of polymer networks. This model describes actual networks having strongly overlapping and interconnected loops of finite sizes. The conformations of their strands are characterized by the generalized combined chain model. The model of a sliding tube is represented, which describes the general anisotropic deformations of an entangled network in the melt. I propose a generalization of this model to describe the crossover between the entangled and phantom regimes of a swollen network. The obtained dependence of the Mooney-Rivlin parameters [Formula: see text] and [Formula: see text] on the polymer volume fraction is in agreement with experiments. The main results of the theory of heterogeneities in polymer networks are also discussed. MDPI 2020-04-01 /pmc/articles/PMC7240557/ /pubmed/32244601 http://dx.doi.org/10.3390/polym12040767 Text en © 2020 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Review Panyukov, Sergey Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title | Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title_full | Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title_fullStr | Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title_full_unstemmed | Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title_short | Theory of Flexible Polymer Networks: Elasticity and Heterogeneities |
title_sort | theory of flexible polymer networks: elasticity and heterogeneities |
topic | Review |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7240557/ https://www.ncbi.nlm.nih.gov/pubmed/32244601 http://dx.doi.org/10.3390/polym12040767 |
work_keys_str_mv | AT panyukovsergey theoryofflexiblepolymernetworkselasticityandheterogeneities |