Time-Dependent Rheological Behavior of Polymeric Systems
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.
KeywordsShear Rate Shear Flow Nonlinear Regime Extinction Angle Oscillatory Shear Flow
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
A. I. Leonov, Nonequilibrium thermodynamics and rheology of viscoelastic polymer media, Rheol. Acta
, 15: 85 (1976).MATHCrossRefGoogle Scholar
A. I. Leonov, E. H. Lipkina, E. D. Paskhin and A. N. Prokunin, Theoretical and experimental investigation of shearing in elastic polymer liquids, Rheol. Acta
, 15: 411 (1976).MATHCrossRefGoogle Scholar
A. I. Isayev and C. A. Hieber, Toward a viscoelastic modelling of the injection molding of polymers, to appear in Rheol. Acta
F. N. Gortemaker, M. G. Hansen, B. de Cindio, H. M. Laun and H. Janeschitz-Kriegl, Flow birefringence of polymer melts: application to the investigation of time-dependent Theological properties, Rheol. Acta
, 15: 256 (1976).CrossRefGoogle Scholar
K. Osaki, N. Bessho, T. Kojimoto and M. Kurata, Flow birefringence of polymer solutions in time-dependent field, J. Rheol.
, 23: 457 (1979).ADSCrossRefGoogle Scholar
H. Kajuira, H. Endo and M. Nagasawa, Sinusoidal normal stress measurements with the Weissenberg rheogoniometer, J. Polym. Sci., Phys. Ed.
, 11:2371 (1973).Google Scholar
G. V. Vinogradov, A. I. Isayev, D. A. Mustafayev and Y. Y. Podolsky, Polarization-optical investigation of polymers in fluid and high-elastic states under oscillatory deformation, J. Appl. Polym. Sci.
, 22: 665 (1978).CrossRefGoogle Scholar
H. Endo and M. Nagasawa, Normal stress and shear stress in a viscoelastic liquid under oscillatory shear flow, J. Polym. Sci.
, A-2, 8: 371 (1970).CrossRefGoogle Scholar
L. A. Faitelson and A. I. Alekseenko, Normal stresses during periodic shear deformation, Polym. Mech.
, 9: 275 (1973).CrossRefGoogle Scholar
W. Philippoff, Vibrational measurements with large amplitudes, Trans. Soc. Rheol.
, 10: 1: 317 (1966).CrossRefGoogle Scholar
W. Philippoff and R. A. Stratton, Correlation of the Weissen-berg rheogoniometer with other methods, Trans. Soc. Rheol.
, 10: 2: 467 (1966).CrossRefGoogle Scholar
G. V. Vinogradov, A. I. Isayev and E. V. Katsyutsevich, Critical regimes of oscillatory deformation of polymeric systems above glass transition and melting temperature, J. Appl. Polym. Sci.
, 22: 727 (1978).CrossRefGoogle Scholar
© Plenum Press, New York 1980