Consequences of Delayed Chain Retraction on the Rheology and Stretch Dynamics of Entangled Polymer Liquids under Continuous Nonlinear Shear Deformation
Abstract
Here, we generalize our recent new ideas for the continuous startup shear rheology of entangled polymer liquids in the transient stress overshoot regime to formulate a theory for the full constitutive response and nonequilibrium dynamics over all time scales, deformation rates, and degrees of entanglement. The convective constraint release (CCR) idea that chain retraction locally triggers disentanglement in a shear-rate-dependent manner is significantly modified to be physically consistent with our nonclassical treatment of delayed retraction due to an entanglement grip force. A detailed numerical study of the predictions of the theory is presented for the full stress–strain response, scaling behavior of the stress overshoot and undershoot features, orientational stress, primitive path contour length dynamics, and nonequilibrium steady-state properties spanning the slow and fast nonlinear deformation regimes. For deformations slow enough there is little or no chain stretch, our results are qualitatively the same as in prior tube-based models. However, under fast deformation conditions, we make qualitatively new predictions for all rheological and dynamic properties that are not contained in any existing models. No-fit-parameter quantitative comparisons are made with experimental and simulation studies, and very good agreement is found; testable predictions are made. Finally, strong connections between properties (stress and degreemore »
- Authors:
-
- Univ. of Illinois, Urbana, IL (United States). Dept. of Materials Science. Dept. of Chemistry. Dept. of Chemical & Biomolecular Engineering
- Publication Date:
- Research Org.:
- Univ. of Illinois at Urbana-Champaign, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1479752
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Macromolecules
- Additional Journal Information:
- Journal Volume: 51; Journal Issue: 11; Journal ID: ISSN 0024-9297
- Publisher:
- American Chemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Xie, Shi-Jie, and Schweizer, Kenneth S. Consequences of Delayed Chain Retraction on the Rheology and Stretch Dynamics of Entangled Polymer Liquids under Continuous Nonlinear Shear Deformation. United States: N. p., 2018.
Web. doi:10.1021/acs.macromol.8b00671.
Xie, Shi-Jie, & Schweizer, Kenneth S. Consequences of Delayed Chain Retraction on the Rheology and Stretch Dynamics of Entangled Polymer Liquids under Continuous Nonlinear Shear Deformation. United States. https://doi.org/10.1021/acs.macromol.8b00671
Xie, Shi-Jie, and Schweizer, Kenneth S. Wed .
"Consequences of Delayed Chain Retraction on the Rheology and Stretch Dynamics of Entangled Polymer Liquids under Continuous Nonlinear Shear Deformation". United States. https://doi.org/10.1021/acs.macromol.8b00671. https://www.osti.gov/servlets/purl/1479752.
@article{osti_1479752,
title = {Consequences of Delayed Chain Retraction on the Rheology and Stretch Dynamics of Entangled Polymer Liquids under Continuous Nonlinear Shear Deformation},
author = {Xie, Shi-Jie and Schweizer, Kenneth S.},
abstractNote = {Here, we generalize our recent new ideas for the continuous startup shear rheology of entangled polymer liquids in the transient stress overshoot regime to formulate a theory for the full constitutive response and nonequilibrium dynamics over all time scales, deformation rates, and degrees of entanglement. The convective constraint release (CCR) idea that chain retraction locally triggers disentanglement in a shear-rate-dependent manner is significantly modified to be physically consistent with our nonclassical treatment of delayed retraction due to an entanglement grip force. A detailed numerical study of the predictions of the theory is presented for the full stress–strain response, scaling behavior of the stress overshoot and undershoot features, orientational stress, primitive path contour length dynamics, and nonequilibrium steady-state properties spanning the slow and fast nonlinear deformation regimes. For deformations slow enough there is little or no chain stretch, our results are qualitatively the same as in prior tube-based models. However, under fast deformation conditions, we make qualitatively new predictions for all rheological and dynamic properties that are not contained in any existing models. No-fit-parameter quantitative comparisons are made with experimental and simulation studies, and very good agreement is found; testable predictions are made. Finally, strong connections between properties (stress and degree of chain stretch) at the overshoot and in the steady state are found, which suggests common physics exists at the elastic–viscous crossover (stress overshoot) and for long time flow associated with a delayed onset of primitive path retraction and emergence of CCR.},
doi = {10.1021/acs.macromol.8b00671},
journal = {Macromolecules},
number = 11,
volume = 51,
place = {United States},
year = {Wed May 23 00:00:00 EDT 2018},
month = {Wed May 23 00:00:00 EDT 2018}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Reptation of a Polymer Chain in the Presence of Fixed Obstacles
journal, July 1971
- de Gennes, P. G.
- The Journal of Chemical Physics, Vol. 55, Issue 2
Tube theory of entangled polymer dynamics
journal, September 2002
- McLeish, T. C. B.
- Advances in Physics, Vol. 51, Issue 6
A Molecular Theory for Fast Flows of Entangled Polymers
journal, November 1998
- Mead, D. W.; Larson, R. G.; Doi, M.
- Macromolecules, Vol. 31, Issue 22
Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release
journal, September 2003
- Graham, Richard S.; Likhtman, Alexei E.; McLeish, Tom C. B.
- Journal of Rheology, Vol. 47, Issue 5
Fingerprinting Molecular Relaxation in Deformed Polymers
journal, July 2017
- Wang, Zhe; Lam, Christopher N.; Chen, Wei-Ren
- Physical Review X, Vol. 7, Issue 3
Molecular Dynamics Investigation of the Relaxation Mechanism of Entangled Polymers after a Large Step Deformation
journal, January 2018
- Xu, Wen-Sheng; Carrillo, Jan-Michael Y.; Lam, Christopher N.
- ACS Macro Letters, Vol. 7, Issue 2
Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule
journal, February 1996
- Marrucci, G.
- Journal of Non-Newtonian Fluid Mechanics, Vol. 62, Issue 2-3
On compatibility of the Cox-Merz rule with the model of Doi and Edwards
journal, August 1996
- Ianniruberto, G.; Marrucci, G.
- Journal of Non-Newtonian Fluid Mechanics, Vol. 65, Issue 2-3
Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation
journal, September 2003
- Likhtman, Alexei E.; Graham, Richard S.
- Journal of Non-Newtonian Fluid Mechanics, Vol. 114, Issue 1
Simulating Startup Shear of Entangled Polymer Melts
journal, November 2015
- Cao, Jing; Likhtman, Alexei E.
- ACS Macro Letters, Vol. 4, Issue 12
Origin of Stress Overshoot under Start-up Shear in Primitive Chain Network Simulation
journal, October 2014
- Masubuchi, Yuichi; Watanabe, Hiroshi
- ACS Macro Letters, Vol. 3, Issue 11
New theoretical considerations in polymer rheology: Elastic breakdown of chain entanglement network
journal, August 2007
- Wang, Shi-Qing; Ravindranath, Sham; Wang, Yangyang
- The Journal of Chemical Physics, Vol. 127, Issue 6
New Experiments for Improved Theoretical Description of Nonlinear Rheology of Entangled Polymers
journal, April 2013
- Wang, Shi-Qing; Wang, Yangyang; Cheng, Shiwang
- Macromolecules, Vol. 46, Issue 8
Exploring stress overshoot phenomenon upon startup deformation of entangled linear polymeric liquids
journal, November 2009
- Wang, Yangyang; Wang, Shi-Qing
- Journal of Rheology, Vol. 53, Issue 6
Physics of the Stress Overshoot and Chain Stretch Dynamics of Entangled Polymer Liquids Under Continuous Startup Nonlinear Shear
journal, January 2018
- Schweizer, Kenneth S.; Xie, Shi-Jie
- ACS Macro Letters, Vol. 7, Issue 2
Universal scaling behavior in startup shear of entangled linear polymer melts
journal, May 2009
- Boukany, Pouyan E.; Wang, Shi-Qing; Wang, Xiaorong
- Journal of Rheology, Vol. 53, Issue 3
Shear and Extensional Rheology of Polystyrene Melts and Solutions with the Same Number of Entanglements
journal, May 2016
- Costanzo, Salvatore; Huang, Qian; Ianniruberto, Giovanni
- Macromolecules, Vol. 49, Issue 10
Constitutive model that shows extension thickening for entangled solutions and extension thinning for melts
journal, January 2014
- Desai, Priyanka S.; Larson, Ronald G.
- Journal of Rheology, Vol. 58, Issue 1
Shear thinning of unentangled flexible polymer liquids
journal, November 2006
- Colby, R. H.; Boris, D. C.; Krause, W. E.
- Rheologica Acta, Vol. 46, Issue 5
Flow‐Induced Birefringence of Concentrated Polyisoprene Solutions
journal, April 1989
- Pearson, Dale S.; Kiss, Andrea D.; Fetters, Lewis J.
- Journal of Rheology, Vol. 33, Issue 3
Entangled Rigid Macromolecules under Continuous Startup Shear Deformation: Consequences of a Microscopically Anharmonic Confining Tube
journal, July 2013
- Sussman, Daniel M.; Schweizer, Kenneth S.
- Macromolecules, Vol. 46, Issue 14
Microscopic Theory of Quiescent and Deformed Topologically Entangled Rod Solutions: General Formulation and Relaxation after Nonlinear Step Strain
journal, March 2012
- Sussman, Daniel M.; Schweizer, Kenneth S.
- Macromolecules, Vol. 45, Issue 7
A force-level theory of the rheology of entangled rod and chain polymer liquids. I. Tube deformation, microscopic yielding, and the nonlinear elastic limit
journal, December 2016
- Schweizer, Kenneth S.; Sussman, Daniel M.
- The Journal of Chemical Physics, Vol. 145, Issue 21
Connection between Polymer Molecular Weight, Density, Chain Dimensions, and Melt Viscoelastic Properties
journal, August 1994
- Fetters, L. J.; Lohse, D. J.; Richter, D.
- Macromolecules, Vol. 27, Issue 17
Rheology and Microscopic Topology of Entangled Polymeric Liquids
journal, February 2004
- Everaers, R.
- Science, Vol. 303, Issue 5659
Topological Analysis of Linear Polymer Melts: A Statistical Approach
journal, June 2006
- Tzoumanekas, Christos; Theodorou, Doros N.
- Macromolecules, Vol. 39, Issue 13
Linear and nonlinear shear flow behavior of monodisperse polyisoprene melts with a large range of molecular weights
journal, May 2008
- Auhl, Dietmar; Ramirez, Jorge; Likhtman, Alexei E.
- Journal of Rheology, Vol. 52, Issue 3
Steady state measurements in stress plateau region of entangled polymer solutions: Controlled-rate and controlled-stress modes
journal, July 2008
- Ravindranath, Sham; Wang, Shi-Qing
- Journal of Rheology, Vol. 52, Issue 4
Nonlinear Flow Behavior of Entangled Polymer Solutions: Yieldlike Entanglement−Disentanglement Transition
journal, November 2004
- Tapadia, Prashant; Wang, Shi-Qing
- Macromolecules, Vol. 37, Issue 24
Perspectives on the viscoelasticity and flow behavior of entangled linear and branched polymers
journal, November 2015
- Snijkers, F.; Pasquino, R.; Olmsted, P. D.
- Journal of Physics: Condensed Matter, Vol. 27, Issue 47
Individual chain dynamics of a polyethylene melt undergoing steady shear flow
journal, January 2015
- Nafar Sefiddashti, M. H.; Edwards, B. J.; Khomami, B.
- Journal of Rheology, Vol. 59, Issue 1
Effect of Chain Orientation and Stretch on the Stress Overshoot of Entangled Polymeric Materials under Start-Up Shear
journal, April 2017
- Jeong, Sohdam; Kim, Jun Mo; Baig, Chunggi
- Macromolecules, Vol. 50, Issue 8
Shear banding or not in entangled DNA solutions depending on the level of entanglement
journal, January 2009
- Boukany, Pouyan E.; Wang, Shi-Qing
- Journal of Rheology, Vol. 53, Issue 1
Flow Effects on Melt Structure and Entanglement Network of Linear Polymers: Results from a Nonequilibrium Molecular Dynamics Simulation Study of a Polyethylene Melt in Steady Shear
journal, August 2010
- Baig, Chunggi; Mavrantzas, Vlasis G.; Kröger, Martin
- Macromolecules, Vol. 43, Issue 16
Single polymer dynamics for molecular rheology
journal, January 2018
- Schroeder, Charles M.
- Journal of Rheology, Vol. 62, Issue 1
Entangled polymer chain melts: Orientation and deformation dependent tube confinement and interchain entanglement elasticity
journal, December 2013
- Sussman, Daniel M.; Schweizer, Kenneth S.
- The Journal of Chemical Physics, Vol. 139, Issue 23
Active Entanglement-Tracking Microrheology Directly Couples Macromolecular Deformations to Nonlinear Microscale Force Response of Entangled Actin
journal, October 2015
- Falzone, Tobias T.; Robertson-Anderson, Rae M.
- ACS Macro Letters, Vol. 4, Issue 11
Entangled F-actin displays a unique crossover to microscale nonlinearity dominated by entanglement segment dynamics
journal, January 2015
- Falzone, Tobias T.; Blair, Savanna; Robertson-Anderson, Rae M.
- Soft Matter, Vol. 11, Issue 22
Nonlinear Microrheology Reveals Entanglement-Driven Molecular-Level Viscoelasticity of Concentrated DNA
journal, August 2014
- Chapman, Cole D.; Robertson-Anderson, Rae M.
- Physical Review Letters, Vol. 113, Issue 9
Is shear banding a metastable property of well-entangled polymer solutions?
journal, November 2012
- Cheng, Shiwang; Wang, Shi-Qing
- Journal of Rheology, Vol. 56, Issue 6
Shear Banding or Not in Entangled DNA Solutions
journal, August 2010
- Boukany, Pouyan E.; Wang, Shi-Qing
- Macromolecules, Vol. 43, Issue 17
From elastic deformation to terminal flow of a monodisperse entangled melt in uniaxial extension
journal, November 2008
- Wang, Yangyang; Wang, Shi-Qing
- Journal of Rheology, Vol. 52, Issue 6
Studying the origin of “strain hardening”: Basic difference between extension and shear
journal, January 2013
- Liu, Gengxin; Sun, Hao; Rangou, Sofia
- Journal of Rheology, Vol. 57, Issue 1
Some conditions for rupture of polymer liquids in extension
journal, January 1997
- Malkin, A. Ya.; Petrie, C. J. S.
- Journal of Rheology, Vol. 41, Issue 1
Mechanisms for different failure modes in startup uniaxial extension: Tensile (rupture-like) failure and necking
journal, January 2013
- Zhu, Xiangyang; Wang, Shi-Qing
- Journal of Rheology, Vol. 57, Issue 1
Works referencing / citing this record:
Nonlinear shear of entangled polymers from nonequilibrium molecular dynamics
journal, November 2019
- Anwar, Muhammad; Graham, Richard S.
- Journal of Polymer Science Part B: Polymer Physics, Vol. 57, Issue 24
Production of Hollow Ceramic Rods by SHS Extrusion
journal, February 2019
- Chizhikov, A. P.; Stolin, A. M.; Bazhin, P. M.
- Doklady Chemistry, Vol. 484, Issue 2
From Wall Slip to Bulk Shear Banding in Entangled Polymer Solutions
journal, October 2018
- Wang, Shi-Qing
- Macromolecular Chemistry and Physics, Vol. 220, Issue 1
Production of hollow ceramic rods by SHS extrusion
journal, May 2019
- Chizhikov, А. P.; Stolin, A. M.; Bazhin, P. M.
- Доклады Академии наук, Vol. 484, Issue 6
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