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Primitive chain network simulations for randomly cross-linked slip-link networks were performed. For the percolated networks, the stress-strain relationship was compared to the theories by Ball et al. [Polymer, 22, 1010 (1981)] and…

Soft Condensed Matter · Physics 2023-07-20 Yuichi Masubuchi

We examine the phase transition of polymer adsorption as well as the underlying kinetics of polymer binding from dilute solutions on a structureless solid surface. The emphasis is put on the properties of regular multiblock copolymers,…

Soft Condensed Matter · Physics 2009-09-03 A. Milchev , V. Rostiashvili , S. Bhattacharya , T. Vilgis

We present analytic and numeric results for percolation in a network formed of interdependent spatially embedded networks. We show results for a treelike and a random regular network of networks each with $(i)$ unconstrained interdependent…

Physics and Society · Physics 2015-06-18 Louis M. Shekhtman , Yehiel Berezin , Michael M. Danziger , Shlomo Havlin

We use nonequilibrium molecular dynamics simulations to verify recent tube-model predictions that associative polymer networks exhibit broad stretch fluctuations during elongational flow. Simulations further show that these fluctuating…

Soft Condensed Matter · Physics 2025-04-11 Songyue Liu , Thomas C. O'Connor

Elastomers are modeled as networks with $\phi $-functional junctions containing $N$ ideal, $n$-segment, freely jointed chains (FJCs) per unit volume (p.u.v.). Our compact model of the exact FJC length probability density (Treloar, 1975),…

Soft Condensed Matter · Physics 2026-05-26 Hemant Nanavati , Sushanta Das

To design increasingly tough, resilient, and fatigue-resistant elastomers and hydrogels, the relationship between controllable network parameters at the molecular level to macroscopic quantities that govern damage and failure must be…

Soft Condensed Matter · Physics 2023-03-22 Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

A phantom network of Gaussian chains far from the point of gelation can be described as a gas of interacting particles represented by the cross links. The type of particles varies with the network functionality, whereas the type of…

Soft Condensed Matter · Physics 2007-05-23 Benjamin Paul , Michael Schulz , Harry L. Frisch

Computer simulation studies on the miscibility behavior and single chain properties in binary polymer blends are reviewed. We consider blends of various architectures in order to identify important architectural parameters on a coarse…

Statistical Mechanics · Physics 2007-05-23 Marcus Mueller

We consider the rupture dynamics of a homopolymer chain pulled at one end at a constant loading rate r. Compared to single bond breaking, the existence of the chain introduces two new aspects into rupture dynamics: the non-Markovian aspect…

Soft Condensed Matter · Physics 2009-10-29 S. Fugmann , I. M. Sokolov

We have developed different network approaches to analyze complex patterns of frictional interfaces (contact area developments). Network theory is a fundamental tool for the modern understanding of complex systems in which, by a simple…

General Physics · Physics 2012-01-04 H. O. Ghaffari , R. P. Young

Simulations are used to examine the microscopic origins of strain hardening in polymer glasses. While traditional entropic network models can be fit to the total stress, their underlying assumptions are inconsistent with simulation results.…

Materials Science · Physics 2009-11-13 Robert S. Hoy , Mark O. Robbins

We present a new simulation technique to study systems of polymers functionalized by reactive sites that bind/unbind forming reversible linkages. Functionalized polymers feature self-assembly and responsive properties that are unmatched by…

Soft Condensed Matter · Physics 2018-04-18 Bernardo Oyarzún , Bortolo Matteo Mognetti

We characterize the fluctuation properties of a polymer chain under external tension and the fluctuation-induced forces between two ring molecules threaded around the chain. The problem is relevant in the context of fluctuation-induced…

Soft Condensed Matter · Physics 2016-09-15 F. M. Gilles , R. Llubaroff , C. Pastorino

Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The…

General Physics · Physics 2014-01-03 H. O. Ghaffari , R. P. Young

The mechanical behavior of composite materials is significantly influenced by their structure and constituent materials. One emerging class of composite materials is irregular network reinforced composites (NRC's), whose reinforcing phase…

Soft Condensed Matter · Physics 2025-10-14 Chelsea Fox , Tommaso Magrini , Chiara Daraio

Phase separation within polymer networks plays a central role in shaping the structure and mechanics of both synthetic materials and living cells, including the formation of biomolecular condensates within cytoskeletal networks. Previous…

Soft Condensed Matter · Physics 2025-12-01 Takahiro Yokoyama , Yicheng Qiang , David Zwicker , Arash Nikoubashman

A fundamental theory is presented for the mechanical response of polymer networks undergoing large deformation which seamlessly integrates statistical mechanical principles with macroscopic thermodynamic constitutive theory. Our formulation…

Soft Condensed Matter · Physics 2020-07-06 Michael R. Buche , Meredith N. Silberstein

In this thesis the formation and properties of a polymer gel on and at a surface are investigated. The gel under investigation is defined as a three-dimensional network of "phantom" macromolecules that form permanent links with one another…

Disordered Systems and Neural Networks · Physics 2007-05-23 WL Vandoolaeghe

Molecular dynamics simulation methods are used to study the folding of polymer chains into packed cubic states. The polymer model, based on a chain of linked sites moving in the continuum, includes both excluded volume and torsional…

Soft Condensed Matter · Physics 2009-11-10 D. C. Rapaport

Large-scale molecular simulations are performed to investigate tensile failure of polymer interfaces as a function of welding time $t$. Changes in the tensile stress, mode of failure and interfacial fracture energy $G_I$ are correlated to…

Soft Condensed Matter · Physics 2014-10-09 Ting Ge , Gary S. Grest , Mark O. Robbins