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The localisation model of rubber elasticity. II

✍ Scribed by Richard J. Gaylord; Jack F. Douglas

Publisher
Springer
Year
1990
Tongue
English
Weight
215 KB
Volume
23
Category
Article
ISSN
0170-0839

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✦ Synopsis

The effect of the spatial localization of a network chain by surrounding chains is incorporated into the chain probability distribution function and the network free energy is then calculated using the statistical mechanical formalism for constrained systems. In addition to a term having the classical 'Gaussian' form, the resulting expression contains another term which depends on both the cross-link density of the network and the plateau modulus of the uncross-linked melt.

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## Abstract Polymer entanglements lead to complicated topological constraints and interactions between neighboring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they effectively confine each individual chain in a