an imagined conformation ellipsoid is supposed to represent the shape of a polymerchain for polymer melts in flow fields and to be equivalent to the volume element in a mathematical sense incontinuum mechanics. A power law dependence of shear modulus of polymer melts on detC
referred to asenvelope volume
is proposed. Based on those assumptions and the non-linear relation of shear modulus
aphenomenological viscoelastic model is derived. The model is tested in simple shear flow
simple elongational flow
oscillatory shear flow
and relaxation process after flow suddenly stopped.The results show that the model works well to predict the change of internal structure and viscoelastic performance of polymer melts in flow fields.
Abstract
Conceptually
an imagined conformation ellipsoid is supposed to represent the shape of a polymerchain for polymer melts in flow fields and to be equivalent to the volume element in a mathematical sense incontinuum mechanics. A power law dependence of shear modulus of polymer melts on detC
referred to asenvelope volume
is proposed. Based on those assumptions and the non-linear relation of shear modulus
aphenomenological viscoelastic model is derived. The model is tested in simple shear flow
simple elongational flow
oscillatory shear flow
and relaxation process after flow suddenly stopped.The results show that the model works well to predict the change of internal structure and viscoelastic performance of polymer melts in flow fields.
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