David M. Hoyle
Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts
Hoyle, David M.; Auhl, D.; Harlen, O.G.; Barroso, V.C.; Wilhelm, M.; McLeish, T.C.B.
Authors
D. Auhl
O.G. Harlen
V.C. Barroso
M. Wilhelm
T.C.B. McLeish
Abstract
In this paper, the predictions of the Pompom constitutive model in medium and large amplitude oscillatory shear (LAOS) are examined using Fourier transform rheology (FTR). FTR is commonly used in combination with small amplitude oscillatory shear to fit linear Maxwell parameters to dynamic moduli, and in this paper, this process is expanded to larger strain amplitudes and to further terms in the Fourier series. For both small and large amplitudes, these higher harmonics are dependent on the nonlinear Pompom parameters and the Pompom parameter space is explored to see how experimental oscillatory shear data can infer molecular detail. In the regime of small and medium strain amplitude, there exists an asymptotic solution to the Pompom equations which depends only on the ratio of the orientation and stretch relaxation times, τb and τs . This asymptotic solution is found to be accurate up to strains of order unity and the branching priority, q, only affects the stress response at larger strains. The Pompom parameters fitted to extensional data are compared to LAOS data for three materials; two lightly branched metallocene catalyzed high density polyethylenes and a densely branched low density polyethylenes. In general, the Pompom model performs well in LAOS but tends to over predict experimental results at high strain amplitudes.
Citation
Hoyle, D. M., Auhl, D., Harlen, O., Barroso, V., Wilhelm, M., & McLeish, T. (2014). Large amplitude oscillatory shear and Fourier transform rheology analysis of branched polymer melts. Journal of Rheology, 58(4), https://doi.org/10.1122/1.4881467
Journal Article Type | Article |
---|---|
Publication Date | Jul 1, 2014 |
Deposit Date | Jun 10, 2014 |
Publicly Available Date | Jul 28, 2014 |
Journal | Journal of Rheology |
Print ISSN | 0148-6055 |
Electronic ISSN | 1520-8516 |
Publisher | American Institute of Physics |
Peer Reviewed | Peer Reviewed |
Volume | 58 |
Issue | 4 |
DOI | https://doi.org/10.1122/1.4881467 |
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Copyright Statement
© 2014 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Rheology, 58, 4, 969 (2014) and may be found at https://doi.org/10.1122/1.4881467.
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