A differential formulation of thermal constraint release for entangled linear polymers

Adrien Leygue (1) , Christian Bailly (1) , Roland Keunings (1)

1 CESAME - Centre for systems engineering and applied mechanics [Louvain]

We present a new differential formulation of the thermal constraint release phenomenon for linear entangled polymers. This new formulation predicts a relaxation modulus identical to that predicted by the double reptation theory of Tsenoglou [C. Tsenoglou, Viscoelasticity of binary polymer blends, ACS Polym. Prepr. 28 (1987) 185–186] or Des Cloizeaux [J. Des Cloizeaux, Double reptation vs simple reptation in polymer melts, J. Europhys. Lett. 5 (1988) 437–442] for both monodisperse and polydisperse systems. Additionally, we discuss a simple approximation of our approach as well as its possible use for building simple constitutive equations that account for constraint release in a polydisperse environment.

Mots clés: Constraint release; Double reptation; Mixing rule; Constitutive equation

Domaines: Mécanique des fluides [physics.class-ph]

Adrien Leygue, Christian Bailly, Roland Keunings. A differential formulation of thermal constraint release for entangled linear polymers. Journal of Non-Newtonian Fluid Mechanics, 2005, 128 (1), pp.23-28. ⟨10.1016/j.jnnfm.2005.02.009⟩. ⟨hal-01004700⟩