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While polymer solutions lack the mechanical stability only transiently cross-linked networks can fulfill the competing requirements of structural stability and maximal energy dissipation. Here, we show that transient cross-links entail…

Soft Condensed Matter · Physics 2009-11-13 O. Lieleg , M. M. A. E. Claessens , Y. Luan , A. R. Bausch

Minute amount of long chain flexible polymer dissolved in a turbulent flow can drastically change flow properties, such as reducing the drag and enhancing mixing. One fundamental riddle is how these polymer additives interact with the…

Fluid Dynamics · Physics 2021-02-02 Yi-Bao Zhang , Eberhard Bodenschatz , Haitao Xu , Heng-Dong Xi

This paper is devoted to describe the deformations and the elastic energy for structures made of straight rods of thickness $2\delta$ when $\delta$ tends to 0. This analysis relies on the decomposition of the large deformation of a single…

Analysis of PDEs · Mathematics 2010-10-19 Dominique Blanchard , Georges Griso

In this paper we study the elastic response of synthetic hydrogels to an applied shear stress. The hydrogels studied here have previously been shown to mimic the behaviour of biopolymer networks when they are sufficiently far above the gel…

Soft Condensed Matter · Physics 2016-05-05 M. Dennison , M. Jaspers , P. H. J. Kouwer , C. Storm , A. E. Rowan , F. C. MacKintosh

Single-chain elasticity is of fundamental importance in polymer physics, as it underlies many of the unique properties of polymer systems. Recently, there has been interest in characterizing the elastic properties of catenanes, molecular…

Soft Condensed Matter · Physics 2025-12-23 James M. Polson , Liam MacNevin , Alaaddin Elobeid , Carlos E. Padilla Robles

We present a generic formulation of the continuum elasticity of an isotropic crosslinked active gel. The gel is described by a two-component model consisting of an elastic network coupled frictionally to a permeating fluid. Activity is…

Soft Condensed Matter · Physics 2011-04-22 Shiladitya Banerjee , M. Cristina Marchetti

The elasticity of disordered and polydisperse polymer networks is a fundamental problem of soft matter physics that is still open. Here, we self-assemble polymer networks via simulations of a mixture of bivalent and tri- or tetravalent…

The shapes of epithelial tissues result from a complex interplay of contractile forces in the cytoskeleta of the cells in the tissue, and adhesion forces between them. A host of discrete, cell-based models describe these forces by assigning…

Soft Condensed Matter · Physics 2019-02-27 Pierra A. Haas , Raymond E. Goldstein

Networks of semiflexible or stiff polymers such as most biopolymers are known to deform inhomogeneously when sheared. The effects of such non-affine deformation have been shown to be much stronger than for flexible polymers. To date, our…

Soft Condensed Matter · Physics 2023-03-08 Sihan Chen , Tomer Markovich , Fred C. MacKintosh

The freely jointed chain is often applied to model the thermodynamics of single polymer chains, but the traditional formulation of the model lacks internal energy changes due to bond stretching. For this reason, the extensible freely…

Statistical Mechanics · Physics 2026-05-13 Michael R. Buche

When sheared, most elastic solids such as metals, rubbers and polymer hydrogels dilate in the direction perpendicular to the shear plane. This well-known behaviour known as the Poynting effect is characterized by a positive normal stress.…

We study the mechanical stiffening behavior in two-dimensional (2D) cross-linked networks of semiflexible biopolymer filaments under simple shear. Filamental constituents immersed in a fluid undergo thermally excited bending motions.…

Biological Physics · Physics 2007-05-23 T. Van Dillen , P. R. Onck , E. Van der Giessen

We report a dynamical-mechanical study of stress relaxation at small deformation in a natural (polyisoprene) rubber well above its glass transition temperature Tg. We find that an almost complete relaxation of stress takes place over very…

Soft Condensed Matter · Physics 2009-10-31 S. M. Clarke , F. Elias , E. M. Terentjev

Motivated by recent experiments showing that stiff biopolymer gels exhibit highly unusual negative normal elastic stresses, we develop a computational model for stiff polymer networks subject to large strains. In all cases, we find that…

Soft Condensed Matter · Physics 2009-11-13 Enrico Conti , F. C. MacKintosh

We develop a continuum theory for equilibrium elasticity of a network of crosslinked semiflexible filaments, spanning the full range between flexible entropy-driven chains to stiff athermal rods. We choose the 3-chain constitutive model…

Soft Condensed Matter · Physics 2016-07-12 Fanlong Meng , Eugene M. Terentjev

A general approach is presented for understanding the stress response function in anisotropic granular layers in two dimensions. The formalism accommodates both classical anisotropic elasticity theory and linear theories of anisotropic…

Statistical Mechanics · Physics 2009-11-07 M. Otto , J. -P. Bouchaud , P. Claudin , J. E. S. Socolar

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

We numerically study the energy transfer in a multi-component $2d$ film, made of an active polar gel and a passive isotropic fluid in presence of surfactant favoring emulsification. We show that by confining the active behavior into the…

Soft Condensed Matter · Physics 2020-08-18 Livio Nicola Carenza , Luca Biferale , Giuseppe Gonnella

The injection of a long flexible rod into a two-dimensional domain yields a complex pattern commonly studied through elasticity theory, packing analysis, and fractal geometries. "Loop" is a one-vertex entity that is naturally formed in this…

Soft Condensed Matter · Physics 2021-03-29 T. A. Sobral , V. H. de Holanda , F. C. B. Leal , T. T. Saraiva

When a swollen, thermoresponsive polymer gel is heated in a solvent bath, it expels solvent and deswells. When this heating is slow, deswelling proceeds homogeneously, as observed in a toroid-shaped gel that changes volume whilst…