Numéro |
J. Phys. I France
Volume 4, Numéro 4, April 1994
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|
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Page(s) | 539 - 550 | |
DOI | https://doi.org/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 CloizeauxService 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)
Abstract
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.
© Les Editions de Physique 1994