Abstract
The capability to describe time-dependent rheological material behavior is a necessary element of any new proposed viscoelastic equation. Recently, Leonov1,2 published a rheological equation, based upon irreversible thermodynamics, which describes the behavior of elastic polymeric fluids over a wide range of elastic strain. This model has subsequently been used for predicting flow orientation in injection molding3, where it was shown that the time-dependent rheological behavior is important for predicting frozen-in birefringence in molded parts. In the present paper, by using the Leonov equation together with numerical methods, the following two time-dependent problems are considered: (1) transient simple shear flow with impulsive change from zero shear rate to non-zero constant shear rate with subsequent relaxation following cessation of flow; (2) oscillatory shear flow in the linear and non-linear regimes.
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