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 and N, where 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.
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