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Elasticity of entangled networks

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Ball, Robin, Doi, M., Edwards, S. F. and Warner, M. (1981) Elasticity of entangled networks. Polymer, Vol.22 (No.8). pp. 1010-1018. doi:10.1016/0032-3861(81)90284-6

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Official URL: http://dx.doi.org/10.1016/0032-3861(81)90284-6

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Abstract

Entanglements are modelled by links which make a sliding contact between polymer networks. A formal solution to this problem is given using the replica formalism and the contribution of an entanglement to the free energy of shear is given by:

where λi are the Cartesian extension ratios and η is a measure of the freedom of a link to slide compared with the freedom of movement of a chain. The expression quoted gives correct limits in the (trivial) case of η zero, and η infinity, when it is merely a negative contribution to the osmotic pressure of the network.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Q Science > QD Chemistry
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Polymer networks -- Elastic properties
Journal or Publication Title: Polymer
Publisher: Elsevier Science BV
ISSN: 0032-3861
Official Date: 1981
Dates:
DateEvent
1981Published
Volume: Vol.22
Number: No.8
Page Range: pp. 1010-1018
DOI: 10.1016/0032-3861(81)90284-6
Status: Peer Reviewed
Publication Status: Published

Data sourced from Thomson Reuters' Web of Knowledge

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