J. Phys. I France
Volume 4, Numéro 4, April 1994
Page(s) 539 - 550
DOI: 10.1051/jp1:1994158
J. Phys. I France 4 (1994) 539-550

Static form function of an entangled polymer in a strained state (melt or rubber)

J. des Cloizeaux

Service de Physique Théorique, CEA-Saclay, F-91191 Gif-sur-Yvette Cedex, France

(Received 4 October 1993, received in final form 17 November 1993, accepted 20 December 1993)

The article contains a complete analytical solution of the static form function of an entangled polymer in a strained state. The entanglements, or stress points, undergo an affine deformation and remain afterwards fixed. The other parts of the chain are relaxed and Brownian. The parameters are $\langle S\rangle$ and N, where $\langle S\rangle$ is the mean value of the Brownian area S between entanglements and N is the number of entanglements per chain. The results agree with experiments on polystyrene and are consistent with other data concerning this polymer.

© Les Editions de Physique 1994

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