Eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage
Abstract
Here, 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.
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1358162
- Report Number(s):
- LA-UR-16-26497
Journal ID: ISSN 2045-2322
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Scientific Reports
- Additional Journal Information:
- Journal Volume: 7; Journal Issue: 1; Journal ID: ISSN 2045-2322
- Publisher:
- Nature Publishing Group
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; coarse-grained models; complex networks; mechanical properties; polymers
Citation Formats
Welch, Jr., Paul Michael, and Welch, Cynthia F. Eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage. United States: N. p., 2017.
Web. doi:10.1038/s41598-017-00818-0.
Welch, Jr., Paul Michael, & Welch, Cynthia F. Eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage. United States. https://doi.org/10.1038/s41598-017-00818-0
Welch, Jr., Paul Michael, and Welch, Cynthia F. Thu .
"Eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage". United States. https://doi.org/10.1038/s41598-017-00818-0. https://www.osti.gov/servlets/purl/1358162.
@article{osti_1358162,
title = {Eigenvector centrality is a metric of elastomer modulus, heterogeneity, and damage},
author = {Welch, Jr., Paul Michael and Welch, Cynthia F.},
abstractNote = {Here, 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.},
doi = {10.1038/s41598-017-00818-0},
journal = {Scientific Reports},
number = 1,
volume = 7,
place = {United States},
year = {Thu Apr 27 00:00:00 EDT 2017},
month = {Thu Apr 27 00:00:00 EDT 2017}
}
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Works referenced in this record:
Shape-Memory Polymers
journal, June 2002
- Lendlein, Andreas; Kelch, Steffen
- Angewandte Chemie International Edition, Vol. 41, Issue 12, p. 2034-2057
A review of stimuli-responsive shape memory polymer composites
journal, April 2013
- Meng, Harper; Li, Guoqiang
- Polymer, Vol. 54, Issue 9
Mechanical performance of polymer systems: The relation between structure and properties
journal, August 2005
- Meijer, Han E. H.; Govaert, Leon E.
- Progress in Polymer Science, Vol. 30, Issue 8-9
Mechanical performance of polymer systems: The relation between structure and properties
journal, August 2005
- Meijer, Han E. H.; Govaert, Leon E.
- Progress in Polymer Science, Vol. 30, Issue 8-9
A review of stimuli-responsive shape memory polymer composites
journal, April 2013
- Meng, Harper; Li, Guoqiang
- Polymer, Vol. 54, Issue 9
A highly stretchable autonomous self-healing elastomer
journal, April 2016
- Li, Cheng-Hui; Wang, Chao; Keplinger, Christoph
- Nature Chemistry, Vol. 8, Issue 6
Finding community structure in networks using the eigenvectors of matrices
journal, September 2006
- Newman, M. E. J.
- Physical Review E, Vol. 74, Issue 3
Randomly crosslinked macromolecular systems: Vulcanization transition to and properties of the amorphous solid state
journal, October 1996
- Goldbart, Paul M.; Castillo, Horacio E.; Zippelius, Annette
- Advances in Physics, Vol. 45, Issue 5
Reprint of: The anatomy of a large-scale hypertextual web search engine
journal, December 2012
- Brin, Sergey; Page, Lawrence
- Computer Networks, Vol. 56, Issue 18
Mechanically-Induced Chemical Changes in Polymeric Materials
journal, November 2009
- Caruso, Mary M.; Davis, Douglas A.; Shen, Qilong
- Chemical Reviews, Vol. 109, Issue 11
Weathering of polymers: mechanisms of degradation and stabilization, testing strategies and modelling
journal, February 1994
- White, J. R.; Turnbull, A.
- Journal of Materials Science, Vol. 29, Issue 3
Statistical Mechanics of Vulcanisation and the Spontaneous Emergence of Static-Density Fluctuations
journal, August 1993
- Zippelius, A.; Goldbart, P. M.; Goldenfeld, N.
- Europhysics Letters (EPL), Vol. 23, Issue 6
Review of polymer oxidation and its relationship with materials performance and lifetime prediction
journal, December 2013
- Celina, Mathew C.
- Polymer Degradation and Stability, Vol. 98, Issue 12
Review of polymer oxidation and its relationship with materials performance and lifetime prediction
journal, December 2013
- Celina, Mathew C.
- Polymer Degradation and Stability, Vol. 98, Issue 12
Physical chemistry of supramolecular polymer networks
journal, January 2012
- Seiffert, Sebastian; Sprakel, Joris
- Chem. Soc. Rev., Vol. 41, Issue 2
Maps of random walks on complex networks reveal community structure
journal, January 2008
- Rosvall, M.; Bergstrom, C. T.
- Proceedings of the National Academy of Sciences, Vol. 105, Issue 4
Spectra of random graphs with given expected degrees
journal, May 2003
- Chung, F.; Lu, L.; Vu, V.
- Proceedings of the National Academy of Sciences, Vol. 100, Issue 11
Spectra of random graphs with given expected degrees
journal, May 2003
- Chung, F.; Lu, L.; Vu, V.
- Proceedings of the National Academy of Sciences, Vol. 100, Issue 11
The effect of entanglements in rubber elasticity
journal, April 1986
- Edwards, S. F.; Vilgis, Th.
- Polymer, Vol. 27, Issue 4
The effect of entanglements in rubber elasticity
journal, April 1986
- Edwards, S. F.; Vilgis, Th.
- Polymer, Vol. 27, Issue 4
Statistical Mechanics of Vulcanisation and the Spontaneous Emergence of Static-Density Fluctuations
journal, August 1993
- Zippelius, A.; Goldbart, P. M.; Goldenfeld, N.
- Europhysics Letters (EPL), Vol. 23, Issue 6
Stress Relaxation, Dynamics, and Plasticity of Transient Polymer Networks
journal, March 2016
- Meng, Fanlong; Pritchard, Robyn H.; Terentjev, Eugene M.
- Macromolecules, Vol. 49, Issue 7
Physical chemistry of supramolecular polymer networks
journal, January 2012
- Seiffert, Sebastian; Sprakel, Joris
- Chem. Soc. Rev., Vol. 41, Issue 2
Mechanically-Induced Chemical Changes in Polymeric Materials
journal, November 2009
- Caruso, Mary M.; Davis, Douglas A.; Shen, Qilong
- Chemical Reviews, Vol. 109, Issue 11
Physical aging of polymers
journal, January 1995
- Hutchinson, John M.
- Progress in Polymer Science, Vol. 20, Issue 4
On random graphs. I.
journal, July 2022
- Erdős, P.; Rényi, A.
- Publicationes Mathematicae Debrecen, Vol. 6, Issue 3-4