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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

We investigate the emergence of isotropic linear elasticity in amorphous and polycrystalline solids, via extensive numerical simulations. We show that the elastic properties are correlated over a finite length scale $\xi_E$, so that the…

Soft Condensed Matter · Physics 2021-05-19 Shivam Mahajan , Joyjit Chattoraj , Massimo Pica Ciamarra

Ladder polymers, known for their rigid, ladder-like structures, exhibit exceptional thermal stability and mechanical strength, positioning them as candidates for advanced applications. However, accurately determining their structure from…

Soft Condensed Matter · Physics 2025-05-23 Lijie Ding , Chi-Huan Tung , Zhiqiang Cao , Zekun Ye , Xiaodan Gu , Yan Xia , Wei-Ren Chen , Changwoo Do

Recently it has been shown that a two-dimensional model of self-attracting polymers based on attracting segments with the addition of stiffness displays three phases: a swollen phase, a globular, liquid-like phase, and an anisotropic…

Soft Condensed Matter · Physics 2015-06-23 J. Krawczyk , A. L. Owczarek , T. Prellberg

We propose a simple dynamic model of polymers under shear with an anisotropic mobility tensor. We calculate the shear viscosity, the rheo-dielectric response function, and the parallel relaxation modulus under shear flow deduced from our…

Soft Condensed Matter · Physics 2011-07-05 Takashi Uneyama , Kazushi Horio , Hiroshi Watanabe

Solutions of polymer chains are modelled using non-equilibrium Brownian dynamics simulations, with physically associative beads which form reversible crosslinks to establish a system-spanning physical gel network. Rheological properties…

Soft Condensed Matter · Physics 2024-06-19 Dominic Robe , Aritra Santra , Gareth H. McKinley , J. Ravi Prakash

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

In this work we will derive an anisotropic generalisation of the finitely extensible chain model, due to Kuhn and Gr\"un, which is well known in rubber elasticity. This provides a chain energy that couples elastic behaviour to a probability…

Soft Condensed Matter · Physics 2016-06-17 Jamie M. Taylor

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

Soft Condensed Matter · Physics 2018-05-09 Alex Abraham , Apratim Chatterji

The dynamical properties of entangled polymers originate from the dynamic constraints due to the uncrossability between polymer chains. We propose a highly coarse-grained simulation model with transient bonds for such dynamically…

Soft Condensed Matter · Physics 2019-01-10 Takashi Uneyama

We study stress relaxation in bi-disperse entangled polymer solutions. Shorter chains embedded in a majority of longer ones are known to be oriented by coupling to them. We analyze the mechanism for this both by computer simulation and…

Soft Condensed Matter · Physics 2013-05-29 J. M. Deutsch , J. H. Pixley

In this contribution, the use of discrete simulations to formulate an anisotropic damage model is investigated. It is proposed to use a beam-particle model to perform numerical characterization tests. Indeed, this discrete model explicitly…

Classical Physics · Physics 2021-05-19 C Oliver-Leblond , R Desmorat , Boris Kolev

In this article, we construct and analyze models of anisotropic crosslinked polymers employing tools from the theory of liquid crystal elastomers. The anisotropy of these systems stems from the presence of rigid-rod molecular units in the…

Analysis of PDEs · Mathematics 2013-03-26 M. Carme Calderer , Carlos A. Garavito , Chong Luo

While nearly all theoretical and computational studies of entangled polymer melts have focused on uniform samples, polymer synthesis routes always result in some dispersity, albeit narrow, of distribution of molecular weights (D_M=M_w/M_n ~…

Soft Condensed Matter · Physics 2018-08-15 Brandon Peters , K. Michael Salerno , Ting Ge , Dvora Perahia , Gary Grest

We report the mechanical response of a model nanocomposite system of poly(styrene) (PS)-silica to large-amplitude oscillatory shear deformations. Nonlinear behavior of PS nanocomposites is discussed with the changes in particle dispersion…

Soft Condensed Matter · Physics 2013-01-14 Erkan Senses , Pinar Akcora

When sheared, granular media experience localized plastic events known as shear transformations which generate anisotropic internal stresses. Under strong confining pressure, the response of granular media to local force multipoles is…

Soft Condensed Matter · Physics 2025-12-11 Félix Benoist , Mehdi Bouzid , Martin Lenz

The coupled dynamics of entangled polymers which span a broad time and length scales govern the unique viscoelastic properties of polymers. To follow chain mobility by numerical simulations from the intermediate Rouse and reptation regimes…

Soft Condensed Matter · Physics 2016-11-03 Gary S. Grest

The effect of the anisotropy on the elastoplastic response of two dimensional packed samples of polygons is investigated here, using molecular dynamics simulation. We show a correlation between fabric coefficients, characterizing the…

Materials Science · Physics 2007-05-23 F. Alonso-Marroquin , S. Luding , H. J. Herrmann

An applied tension force changes the equilibrium conformations of a polymer chain tethered to a planar substrate and thus affects the adsorption transition as well as the coil-globule and crystallization transitions. Conversely, solvent…

Soft Condensed Matter · Physics 2015-06-22 Jutta Luettmer-Strathmann , Kurt Binder

Classical network elasticity theories are based on the concept of flexible volumeless polymers fixed into a network in which there are no excluded volume, or even topological interactions, and where the chains explore accessible…

Soft Condensed Matter · Physics 2013-01-21 Jack F. Douglas