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Modeling of the transient viscosity for polymer melts after startup of shearing and elongational deformations
Author(s) -
Seo Yongsok
Publication year - 2003
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.11754
Subject(s) - viscoelasticity , shearing (physics) , phenomenological model , cauchy stress tensor , materials science , stress relaxation , mechanics , nonlinear system , thermodynamics , tensor (intrinsic definition) , deformation (meteorology) , creep , physics , classical mechanics , mathematics , composite material , geometry , quantum mechanics
In order to describe the transient stress growth for polymer melts, the empirical model proposed by Seo for the viscosity of steady‐state flow is combined with a phenomenological viscoelastic model of a differential type (the White–Metzner model) along the lines proposed by Souvaliotis and Beris. The relaxation time is taken as a function of the invariant of the stress tensor (hence that of the configuration tensor) rather than that of the rate of the deformation tensor. Numerical results show a good correlation with experimental data. The model predictions approach steady‐state values at long times after the startup. The nonlinear form of the model correlates very well with the experimental data over many decades of the deformation rate, both in shearing and elongational deformations. The proposed model is a simple one that can also describe the overshoot in the transient stress growth. © 2003 Wiley Periodicals, Inc. J Appl Polym Sci 88: 510–515, 2003