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The mechanics of single-chain stretching and rupture are central to understanding the resilience of biological polymers and designing strong and tough soft materials such as double-network gels and multi-network elastomers. In this work, we…

Soft Condensed Matter · Physics 2026-05-19 Noy Cohen , Nikolaos Bouklas , Chung-Yuen Hui

This paper discusses the elastic behavior of a very long crosslinked polyelectrolyte chain (Debye-H\"uckel chain), which is weakly charged. Therefore the response of the crosslinked chain (network) on an external constant force $f$ acting…

Soft Condensed Matter · Physics 2009-10-30 J. Wilder , T. A. Vilgis

We develop a molecular model of non-uniform deformations within the framework of liquid crystal rubber elasticity. We show that, similarly to the uniform case, the theory is not sensitive to the molecular details of polymer liquid crystal…

Condensed Matter · Physics 2009-10-28 E. M. Terentjev , M. Warner , G. C. Verwey

Polymer chains decorated with a fraction of monomers capable of forming reversible bonds form transient polymer networks that are important in soft and biological systems. If chains are flexible and the attractive monomers are all of the…

Soft Condensed Matter · Physics 2023-10-18 Lorenzo Rovigatti , Francesco Sciortino

The toughness of a polymer material can increase significantly if two networks are combined into one material. This toughening effect is a consequence of a transition from a brittle to a ductile failure response. Although this transition…

Soft Condensed Matter · Physics 2020-07-01 Justin Tauber , Simone Dussi , Jasper van der Gucht

We propose a theory based on non-equilibrium thermodynamics to describe the mechanical behavior of an active polymer gel created by the inclusion of molecular motors in its solvent. When activated, these motors attach to the chains of the…

Soft Condensed Matter · Physics 2019-05-31 Mattia Bacca , Omar A. Saleh , Robert M. McMeeking

Statistical mechanics is an important tool for understanding polymer electroelasticity because the elasticity of polymers is primarily due to entropy. However, a common approach for the statistical mechanics of polymer chains, the Gaussian…

Soft Condensed Matter · Physics 2021-04-28 Matthew Grasinger , Carmel Majidi , Kaushik Dayal

Nematic polymeric networks are (heat and light) activable materials, which combine the features of rubber and nematic liquid crystals. When only the stretching energy of a thin sheet of nematic polymeric network is minimized, the intrinsic…

Soft Condensed Matter · Physics 2020-08-05 O. Ozenda , A. M. Sonnet , E. G. Virga

The thermodynamics and dynamics of supercooled liquids correlate with their elasticity. In particular for covalent networks, the jump of specific heat is small and the liquid is {\it strong} near the threshold valence where the network…

Disordered Systems and Neural Networks · Physics 2015-09-02 Le Yan , Matthieu Wyart

The classical rheological theories of entangled polymeric liquids are built upon two pillars: Gaussian statistics of entanglement strands and the assumption that the stress arises exclusively from the change of intramolecular configuration…

Soft Condensed Matter · Physics 2019-06-13 Wen-Sheng Xu , Christopher N. Lam , Jan-Michael Y. Carrillo , Bobby G. Sumpter , Yangyang Wang

The sol-gel transition is studied in two purely entropic models consisting of hard spheres in continuous three-dimensional space, with a fraction $p$ of nearest neighbor spheres tethered by inextensible bonds. When all the tethers are…

Statistical Mechanics · Physics 2009-11-07 Oded Farago , Yacov Kantor

We study the elastic deformations in a cross-linked polymer network film triggered by the binding of submicron particles with a sticky surface, mimicking the interactions of viral pathogens with thin films of stimulus-responsive polymeric…

Soft Condensed Matter · Physics 2014-12-24 Surya K Ghosh , Andrey G Cherstvy , Ralf Metzler

We numerically examine the nonlinear rubber elasticity of topologically constrained polymer networks. We propose a simple and effective model based on Graessley and Pearson's topological model (GP model) for describing the topological…

Soft Condensed Matter · Physics 2015-03-19 Naomi Hirayama , Kyoichi Tsurusaki

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

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

Nematic elastomers and glasses deform spontaneously when subjected to temperature changes. This property can be exploited in the design of heterogeneously patterned thin sheets that deform into a non-trivial shape when heated or cooled. In…

Soft Condensed Matter · Physics 2017-10-25 Paul Plucinsky , Marius Lemm , Kaushik Bhattacharya

This paper discusses the elastic behavior of polyelectrolyte networks. The deformation behavior of single polyelectrolyte chains is discussed. It is shown that a strong coupling between interactions and chain elasticity exists. The theory…

Soft Condensed Matter · Physics 2007-05-23 T. A. Vilgis , J. Wilder

Ferrogels, i.e. swollen polymer networks into which magnetic particles are immersed, can be considered as "smart materials" since their shape and elasticity can be controlled by an external magnetic field. Using molecular dynamics…

Chemical Physics · Physics 2015-06-02 Rudolf Weeber , Sofia Kantorovich , Christian Holm

We report extensive numerical simulations of different models of 2D polymer rings with internal elasticity. We monitor the dynamical behavior of the rings as a function of the packing fraction, to address the effects of particle deformation…

Soft Condensed Matter · Physics 2021-06-07 Nicoletta Gnan , Fabrizio Camerin , Giovanni Del Monte , Andrea Ninarello , Emanuela Zaccarelli

Elastomers are used in a wide range of applications because of their large strain to failure, low density, and tailorable stiffness and toughness. The mechanical behavior of elastomers derives mainly from the entropic elasticity of the…

Soft Condensed Matter · Physics 2022-08-24 Michael R. Buche , Meredith N. Silberstein