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2. Universal Transition to Wide Shear Zones in Entangled Macroscale Chains or Ropes

Author

Shaebani, M. Reza, Gimenez-Ribes, Gerard, Zondervan, Sybren, Sagis, Leonard M. C., van der Linden, Erik, and Habibi, Mehdi

Subjects
Condensed Matter - Soft Condensed Matter, Condensed Matter - Statistical Mechanics
Abstract

Macroscale chains have been proposed to give insight into the physics of molecular polymer systems. Nevertheless, understanding the rheological response of systems of quasi-one-dimensional semiflexible materials, such as bead-chain packings, is currently a great challenge. We study the nonlinear rheology of random assemblies of macroscale chains -- including steel bead chains and cooked spaghetti -- under oscillatory shear. We show that a universal transition from localized to wide shear zones occurs upon increasing the strain amplitude, for a wide range of lengths, flexibilities, and other structural parameters of the constituent elements. The critical strain amplitude coincides with the onset of strain stiffening development in the system. We obtain scaling laws for transition sharpness, shear-zone width, and stiffness enhancement as a function of chain length. Our findings suggest that the entanglements between the constituent elements strengthen when approaching the critical strain amplitude and rapidly become long range, even spanning the entire finite system for long enough chains. We show that the nonlinear rheological response is governed by the interplay between increasing stored elastic forces due to entanglements and increasing contribution of dissipation with shear rate and interlocking between chains., Comment: 9 pages, 6 figures

Published
2022

16. A numerical method for the simulation of viscoelastic fluid surfaces

Author

de Kinkelder, Eloy, Sagis, Leonard, and Aland, Sebastian

Subjects
Physics - Fluid Dynamics
Abstract

Viscoelastic surface rheology plays an important role in multiphase systems. A typical example is the actin cortex which surrounds most animal cells. It shows elastic properties for short time scales and behaves viscous for longer time scales. Hence, realistic simulations of cell shape dynamics require a model capturing the entire elastic to viscous spectrum. However, currently there are no numerical methods to simulate deforming viscoelastic surfaces. Thus models for the cell cortex, or other viscoelastic surfaces, are usually based on assumptions or simplifications which limit their applicability. In this paper we develop a first numerical approach for simulation of deforming viscoelastic surfaces. To this end, we derive the surface equivalent of the upper convected Maxwell model using the GENERIC formulation of nonequilibrium thermodynamics. The model distinguishes between shear dynamics and dilatational surface dynamics. The viscoelastic surface is embedded in a viscous fluid modelled by the Navier-Stokes equation. Both systems are solved using Finite Elements. The fluid and surface are combined using an Arbitrary Lagrange-Eulerian (ALE) Method that conserves the surface grid spacing during rotations and translations of the surface. We verify this numerical implementation against analytic solutions and find good agreement. To demonstrate its potential we simulate the experimentally observed tumbling and tank-treading of vesicles in shear flow. We also supply a phase-diagram to demonstrate the influence of the viscoelastic parameters on the behaviour of a vesicle in shear flow. Finally, we explore cytokinesis as a future application of the numerical method by simulating the start of cytokinesis using a spatially dependent function for the surface tension.

Published
2021
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