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Finite extensibility and orientational effects in rubbers. A physical interpretation of the ‘van der Waals equation’ for the elastic force
Authors:F. Boué  Th. Vilgis
Affiliation:(1) Present address: Laboratoire Léon Brillouin, C.E.N. Saclay, F-91191 Gif Sur Yvette Cedex;(2) T.C.M., Cavendish Laboratory, Madingley Road, CB3 0HE Cambridge, England;(3) Present address: Max Planck Institut für Polymerforschung, Postfach 3148, D-6500 Mainz, Germany
Abstract:We propose a physical interpretation of the so-called van der Waals equation of state for rubbers, which gives a relation between the force and the deformation. On a phenomenological basis this equation takes the finite extensibility and a non-defined interaction into account. Here the fininte extensibility is discussed for the dilute case (no entanglements) and the highly entangled limit. The intramolecular interactions are described by orientational effects. The resulting equation of state for the force shows the same features as the van der Waals equation.Dedicated to Prof. H.-G. Kilian on the occasion of his 60th birthday.
Keywords:Rubber elasticity  orientational interaction  finite extensibility  entanglements  van der Waals equation
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