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The Euler Characteristic of Phantom Elastomeric Polymer Networks

โœ Scribed by Vassilios Galiatsatos; Gert Heinrich


Publisher
John Wiley and Sons
Year
2011
Tongue
English
Weight
401 KB
Volume
20
Category
Article
ISSN
1022-1344

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โœฆ Synopsis


Abstract

It is shown that through a relationship between the Euler characteristic and the cycle rank of polymer networks one has access to a quantitative description of functionality heterogeneity in these fascinating structures. This relationship is applied and extended to study heterogeneous network structures resulting from the random removal of chains from a perfect 2D tetrafunctional network. It is shown that the distribution of crosslink functionality is correlated strongly with the mechanical properties of the networks as those are manifested in the cycle rank. magnified image


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