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Taking into account the nonequivalence of fixed-force and fixed-length ensembles in the weak-force regime, equations of state are derived that describe the equilibrium extension or compression of an ideal Gaussian polymer chain in response…

Soft Condensed Matter · Physics 2007-05-23 Richard M. Neumann

Here we present an experimentally practical and robust method to compute the transient extensional viscosity from exponential shear on a wide variety of viscoelastic complex fluids. To achieve this, we derive an analytical, frame-invariant…

Soft Condensed Matter · Physics 2025-06-23 L. A. Kroo , R. A. Nicholson , M. W Boehm , S. K. Baier , G. H. McKinley

Ring polymers remain a major challenge to our current understanding of polymer dynamics. Experimental results are difficult to interpret because of the uncertainty in the purity and dispersity of the sample. Using both equilibrium and…

Soft Condensed Matter · Physics 2015-06-03 Jonathan D. Halverson , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer

We use Brownian dynamics (BD) simulations and single molecule experiments to investigate the influence of topological constraints and hydrodynamic interactions on the dynamics and rheology of solutions of ring-linear polymer blends at the…

Soft Condensed Matter · Physics 2021-07-07 Charles D. Young , Yuecheng Zhou , Charles M. Schroeder , Charles E. Sing

We discuss simulations of a simple model for polymer blends in the framework of the Rouse model. At odds with standard predictions, large dynamic asymmetry between the two components induces strong non-exponentiality of the Rouse modes for…

Soft Condensed Matter · Physics 2009-11-13 Angel J. Moreno , Juan Colmenero

Constitutive equations are derived for the time-dependent behavior of particle-reinforced elastomers at isothermal loading with finite strains. A rubbery polymer is modelled as a network of macromolecules bridged by junctions which can slip…

Materials Science · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

Computational Physics · Physics 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

The non-equilibrium structural and dynamical properties of a flexible polymer tethered to a reflecting wall and subject to oscillatory linear flow are studied by numerical simulations. Polymer is confined in two dimensions and is modeled as…

Soft Condensed Matter · Physics 2024-07-30 A. Lamura

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

We study the necking dynamics of a filament of complex fluid or soft solid in uniaxial tensile stretching at constant imposed Hencky strain rate $\dot\varepsilon$, by means of linear stability analysis and nonlinear (slender filament)…

Soft Condensed Matter · Physics 2016-11-22 David M. Hoyle , Suzanne M. Fielding

We present a theoretical framework for the linear and nonlinear visco-elastic properties of reversibly crosslinked networks of semiflexible polymers. In contrast to affine models where network strain couples to the polymer end-to-end…

Soft Condensed Matter · Physics 2016-07-06 Jan Plagge , Andreas Fischer , Claus Heussinger

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While stress-strain curves for a wide range of temperature can be fit to the functional form predicted by entropic network models, many other…

Soft Condensed Matter · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

The viscous flow of polymer chains in dense melts is dominated by topological constraints whenever the single chain contour length, N, becomes larger than the characteristic scale Ne, defining comprehensively the macroscopic rheological…

Soft Condensed Matter · Physics 2023-07-19 Mattia Alberto Ubertini , Angelo Rosa

The measurement of interfacial mechanical or rheological properties in polymer blends is a challenging task, as well as providing a quantitative link between these properties and the interfacial nanostructure. Here, we perform a systematic…

Soft Condensed Matter · Physics 2025-05-13 Anna Dmochowska , Jorge Peixinho , Cyrille Sollogoub , Guillaume Miquelard-Garnier

We study the mechanical and conformational properties of networks of helical polymers with a combination of Monte Carlo simulations based on the Wang-Landau algorithm and the Three-chain Model. We find that the stress-strain behavior of…

Materials Science · Physics 2007-05-23 Gustavo A. Carri , Richard Batman , Vikas Varshney , Taner E. Dirama

The time-dependent transverse response of stiff polymers, represented as weakly-bending wormlike chains (WLCs), is well-understood on the linear level, where transverse degrees of freedom evolve independently from the longitudinal ones. We…

Soft Condensed Matter · Physics 2007-09-03 Benedikt Obermayer , Oskar Hallatschek

Constitutive equations are developed for a polymer fluid, which is treated as a permanent network of strands bridged by junctions. The junctions are assumed to slide with respect to their reference positions under loading. Governing…

Materials Science · Physics 2007-05-23 A. D. Drozdov , R. K. Gupta

Constitutive equations are derived for the viscoelastic response of rubbery polymers at finite strains. A polymer is thought of as a network of long chains connected to temporary junctions. At a random time, a chain detaches from a…

Soft Condensed Matter · Physics 2007-05-23 Aleksey D. Drozdov , Al Dorfmann

We present an extensive analysis of the relaxation dynamics of entangled linear polymer melts via long-time molecular dynamics simulations of a generic bead-spring model. We study the mean-squared displacements, the autocorrelation function…

Soft Condensed Matter · Physics 2025-01-17 Alireza F. Behbahani , Friederike Schmid

We consider extensional flows of a dense layer of spheres in a viscous fluid and employ force and torque balances to determine the trajectory of particle pairs that contribute to the stress. In doing this, we use Stokesian dynamics…

Fluid Dynamics · Physics 2021-07-08 James T. Jenkins , Ryohei Seto , Luigi La Ragione