Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage

Abstract We present an application of eigenvector centrality to encode the connectivity of polymer networks resolved at the micro- and meso-scopic length scales. This method captures the relative importance of different nodes within the network structure and provides a route toward the development o...

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Autores principales:	P. M. Welch, C. F. Welch
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/271d14e346a14c28a1973d33f83fd8bf
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spelling	oai:doaj.org-article:271d14e346a14c28a1973d33f83fd8bf2021-12-02T12:32:16ZEigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage10.1038/s41598-017-00818-02045-2322https://doaj.org/article/271d14e346a14c28a1973d33f83fd8bf2017-04-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-00818-0https://doaj.org/toc/2045-2322Abstract We present an application of eigenvector centrality to encode the connectivity of polymer networks resolved at the micro- and meso-scopic length scales. This method captures the relative importance of different nodes within the network structure and provides a route toward the development of a statistical mechanics model that correlates connectivity with mechanical response. This scheme may be informed by analytical and semi-analytical models for the network structure, or through direct experimental examination. It may be used to predict the reduction in mechanical performance for heterogeneous materials subjected to specific modes of damage. Here, we develop the method and demonstrate that it leads to the prediction of established trends in elastomers. We also apply the model to the case of a self-healing polymer network reported in the literature, extracting insight about the fraction of bonds broken and re-formed during strain and recovery.P. M. WelchC. F. WelchNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q P. M. Welch C. F. Welch Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
description	Abstract We present an application of eigenvector centrality to encode the connectivity of polymer networks resolved at the micro- and meso-scopic length scales. This method captures the relative importance of different nodes within the network structure and provides a route toward the development of a statistical mechanics model that correlates connectivity with mechanical response. This scheme may be informed by analytical and semi-analytical models for the network structure, or through direct experimental examination. It may be used to predict the reduction in mechanical performance for heterogeneous materials subjected to specific modes of damage. Here, we develop the method and demonstrate that it leads to the prediction of established trends in elastomers. We also apply the model to the case of a self-healing polymer network reported in the literature, extracting insight about the fraction of bonds broken and re-formed during strain and recovery.
format	article
author	P. M. Welch C. F. Welch
author_facet	P. M. Welch C. F. Welch
author_sort	P. M. Welch
title	Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
title_short	Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
title_full	Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
title_fullStr	Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
title_full_unstemmed	Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage
title_sort	eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/271d14e346a14c28a1973d33f83fd8bf
work_keys_str_mv	AT pmwelch eigenvectorcentralityisametricofelastomermodulusheterogeneityanddamage AT cfwelch eigenvectorcentralityisametricofelastomermodulusheterogeneityanddamage
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Eigenvector Centrality is a Metric of Elastomer Modulus, Heterogeneity, and Damage

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