DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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 » 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.« less

Authors:
ORCiD logo [1];  [1]
  1. 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}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: (a) Depiction of the interchain grip and intrachain retraction forces per ref 14. (b) Schematic of unentangled polymers under shear that stretch in one-spatial direction beyond the Pincus tension blob size per ref 24.

Save / Share:

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
  • DOI: 10.1063/1.1675789

Tube theory of entangled polymer dynamics
journal, September 2002


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
  • DOI: 10.1021/ma980127x

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
  • DOI: 10.1122/1.1595099

Fingerprinting Molecular Relaxation in Deformed Polymers
journal, July 2017


Molecular Dynamics Investigation of the Relaxation Mechanism of Entangled Polymers after a Large Step Deformation
journal, January 2018


Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule
journal, February 1996


On compatibility of the Cox-Merz rule with the model of Doi and Edwards
journal, August 1996


Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie–Poly equation
journal, September 2003


Simulating Startup Shear of Entangled Polymer Melts
journal, November 2015


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
  • DOI: 10.1021/mz500627r

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
  • DOI: 10.1063/1.2753156

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
  • DOI: 10.1021/ma300398x

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
  • DOI: 10.1122/1.3208063

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
  • DOI: 10.1122/1.3086872

Shear and Extensional Rheology of Polystyrene Melts and Solutions with the Same Number of Entanglements
journal, May 2016


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
  • DOI: 10.1122/1.4854175

Shear thinning of unentangled flexible polymer liquids
journal, November 2006


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
  • DOI: 10.1122/1.550026

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
  • DOI: 10.1021/ma400649k

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
  • DOI: 10.1063/1.4968516

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
  • DOI: 10.1021/ma00095a001

Rheology and Microscopic Topology of Entangled Polymeric Liquids
journal, February 2004


Topological Analysis of Linear Polymer Melts:  A Statistical Approach
journal, June 2006

  • Tzoumanekas, Christos; Theodorou, Doros N.
  • Macromolecules, Vol. 39, Issue 13
  • DOI: 10.1021/ma0607057

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
  • DOI: 10.1122/1.2890780

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
  • DOI: 10.1122/1.2936869

Nonlinear Flow Behavior of Entangled Polymer Solutions:  Yieldlike Entanglement−Disentanglement Transition
journal, November 2004

  • Tapadia, Prashant; Wang, Shi-Qing
  • Macromolecules, Vol. 37, Issue 24
  • DOI: 10.1021/ma0490855

Perspectives on the viscoelasticity and flow behavior of entangled linear and branched polymers
journal, November 2015


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
  • DOI: 10.1122/1.4903498

Effect of Chain Orientation and Stretch on the Stress Overshoot of Entangled Polymeric Materials under Start-Up Shear
journal, April 2017


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
  • DOI: 10.1122/1.3009299

Single polymer dynamics for molecular rheology
journal, January 2018


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
  • DOI: 10.1063/1.4847895

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
  • DOI: 10.1039/C5SM00155B

Nonlinear Microrheology Reveals Entanglement-Driven Molecular-Level Viscoelasticity of Concentrated DNA
journal, August 2014


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
  • DOI: 10.1122/1.4740264

Shear Banding or Not in Entangled DNA Solutions
journal, August 2010

  • Boukany, Pouyan E.; Wang, Shi-Qing
  • Macromolecules, Vol. 43, Issue 17
  • DOI: 10.1021/ma101267b

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
  • DOI: 10.1122/1.2995858

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
  • DOI: 10.1122/1.4763568

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
  • DOI: 10.1122/1.550881

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
  • DOI: 10.1122/1.4764081

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
  • DOI: 10.1002/polb.24904

Production of Hollow Ceramic Rods by SHS Extrusion
journal, February 2019


From Wall Slip to Bulk Shear Banding in Entangled Polymer Solutions
journal, October 2018


Production of hollow ceramic rods by SHS extrusion
journal, May 2019