Predictions of the Doi-Edwards-Marrucci-Grizzuti (DEMG) and the Graham-Likhtman-McLeish-Milner (GLaMM) models1-2 are compared with the systematic rheological data set in startup of steady shear in the nonlinear shear-rate regime of a series of polystyrene solutions with wide concentration range between 2% and 100% (melt). Both the DEMG and GLaMM models are the most recent version of ‘‘tube’’ theory for entangled polymer melts and solutions includes all, chain stretch, chain retraction, reptative, thermal and convective constraint-release effects. We should first comment that the adjustable parameters (i.e. entanglement density, plateau modulus, etc.) and their relevant numerical prefactors for the time constants that appear in these models (i.e.τ_d,τ_R) will become significant to correctly describe the nonlinear data, that go into the theories. At strongly nonlinear regime of chain stretch, both models can capture the non-linear transient response (stress overshoots) however the magnitude of the overshoots predicted by the DEMG model are not as low as those of the GLaMM model with the latter predicting overshoots that are closer to the rheological evident Reference: 1. Marrucci, G., Fast flows of concentrated polymers: predictions of the tube model on chain stretching. Gazz. Chim. Itali. 1988, 118, 179-185. 2. Graham, R. S.; Likhtman, A. E.; McLeish, T. C. B.; Milner, S. T., Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release. Journal of Rheology 2003, 47 (5), 1171.
Taghipour, H., & Van Ruymbeke, E. (2018). Nonlinear Shear Behavior in Binary Blends of Linear Polymers with Well-Separated Molecular Weights. 12th Annual European Rheology Conference 2018 (AERC 2018)., Sorrento-Italy.