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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
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 |
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| 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: |
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| 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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