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Based on non-equilibrium molecular dynamics simulations of entangled polymer melts, a recent Letter [Phys. Rev. Lett. $\textbf{121}$, 047801 (2018), arXiv:1806.09509] claims that the rising extensional stress is quantitatively consistent…

Soft Condensed Matter · Physics 2019-02-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

Current theories on the conformation and dynamics of unknotted and non-concatenated ring polymers in melt conditions describe each ring as a tree-like double-folded object. While evidence from simulations supports this picture on a single…

Soft Condensed Matter · Physics 2022-12-02 Mattia Alberto Ubertini , Jan Smrek , Angelo Rosa

We numerically and analytically analyze the startup continuous shear rheology of heavily entangled rigid rod polymer fluids based on our self-consistent, force-level theory of anharmonic tube confinement. The approach is simplified by…

Soft Condensed Matter · Physics 2016-04-15 Kenenth S. Schweizer , Daniel M. Sussman

Significant challenges exist in the nonlinear extensional rheology of entangled polymers. With simulations, we show that the key to understanding this problem is to recognize the existence and importance of a strain-induced crossover from…

Soft Condensed Matter · Physics 2025-12-01 Yin Wang , Lin-Feng Wu , Yi-Bo Shao , Zhe Wang

The non-linear stress-strain relation for crosslinked polymer networks is studied using molecular dynamics simulations. Previously we demonstrated the importance of trapped entanglements in determining the elastic and relaxational…

Soft Condensed Matter · Physics 2009-10-31 Gary S. Grest , Mathias Puetz , Kurt Kremer , Ralf Everaers

We briefly review the recent advances in the rheology of entangled polymers and identify emerging research trends and outstanding challenges, especially with respect to branched polymers. Emphasis is placed on the role of well-characterized…

Soft Condensed Matter · Physics 2016-04-12 F. Snijkers , R. Pasquino , P. D. Olmsted , D. Vlassopoulos

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While traditional entropic network models can be fit to the total stress, their underlying assumptions are inconsistent with simulation results.…

Materials Science · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

We study the structure and dynamics of a transient network composed of droplets of microemulsion connected by telechelic polymers. The polymer induces a bridging attraction between droplets without changing their shape. A viscoelastic…

Soft Condensed Matter · Physics 2009-10-31 F. Molino , J. Appell , M. Filali , E. Michel , G. Porte , S. Mora , E. Sunyer

Both entangled and unentangled polymer melts exhibit stress overshoots when subject to shearing flow. The size of the overshoot depends on the applied shear rate and is related to relaxation mechanisms such as reptation, chain stretch and…

Soft Condensed Matter · Physics 2024-06-19 Marco Aurelio Galvani Cunha , Peter D. Olmsted , Mark O. Robbins

We employ a first principles, force-level approach to self-consistently construct the anharmonic tube confinement field for entangled fluids of rigid needles and for primitive-path (PP) level chains in two limiting situations where chain…

Soft Condensed Matter · Physics 2016-12-21 Kenneth S. Schweizer , Daniel M. Sussman

Stress relaxation following deformation of an entangled polymeric liquid is thought to be affected by transient reforming of chain entanglements. In this work, we use single molecule techniques to study the relaxation of individual polymers…

Soft Condensed Matter · Physics 2018-07-04 Yuecheng Zhou , Charles M. Schroeder

Entangled networks are ubiquitous in tissues, polymers, and fabrics. However, their mechanics remain insufficiently understood due to the complexity of the topological constraints at the network level. Here, we develop a mathematical…

Soft Condensed Matter · Physics 2025-09-23 Juntao Huang , Jiabin Liu , Shaoting Lin

Polymer entanglements lead to complicated topological constraints and interactions between neighbouring chains in a dense solution or melt. Entanglements can be treated in a mean field approach, within the famous reptation model, since they…

Soft Condensed Matter · Physics 2007-05-23 S. Kutter , E. M. Terentjev

Entanglement of polymer chains is ubiquitous in elastomers, gels, and biological tissues. While the effects of chain entanglement on elasticity and viscoelasticity of polymer networks have been intensively studied, it remains elusive how…

Soft Condensed Matter · Physics 2021-12-24 Dongchang Zheng , Shaoting Lin , Jiahua Ni , Xuanhe Zhao

The rheological behavior of ring-linear polymer blends under uniaxial elongational flow has remained a subject of intense debate, particularly regarding the emergence of stress overshoot. Herein, we employ coarse-grained molecular dynamics…

Soft Condensed Matter · Physics 2026-03-27 Takahiro Murashima , Katsumi Hagita , Toshihiro Kawakatsu

In some recent experiments on entangled polymers of stress growth in startup of fast shear flows an undershoot in the shear stress is observed following the overshoot, i.e., before approaching the steady state. Whereas tumbling of the…

Soft Condensed Matter · Physics 2023-07-20 Yuichi Masubuchi , Dimitris Vlassopoulos , Giovanni Ianniruberto , Giuseppe Marrucci

Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff…

Soft Condensed Matter · Physics 2008-06-23 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

Nonlinear extensional flows are common in polymer processing but remain challenging theoretically because dramatic stretching of chains deforms the entanglement network far from equilibrium. Here, we present coarse-grained simulations of…

Soft Condensed Matter · Physics 2018-08-15 Thomas C. O'Connor , Nicolas J. Alvarez , Mark O. Robbins

We have developed a new multiscale simulation technique to investigate history-dependent flow behavior of entangled polymer melt, using a smoothed particle hydrodynamics simulation with microscopic simulators that account for the dynamics…

Soft Condensed Matter · Physics 2011-11-01 Takahiro Murashima , Takashi Taniguchi

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

Soft Condensed Matter · Physics 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev
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