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This study presents a Eulerian theory to elucidate the molecular kinematics in polymer networks and their connection to continuum deformation, grounded in fundamental statistical physics and thermodynamics. Three key innovations are…

Soft Condensed Matter · Physics 2025-07-16 Siyu Wang , Heng Xiao , Lin Zhan

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 investigate how the removal of a single bond affects the fracture behavior of triangular spring networks, whereby we systematically vary the position of the removed bond. Our simulations show that removing the bond has two contrasting…

Soft Condensed Matter · Physics 2025-07-21 Antoine Sanner , Luca Michel , Alessandra Lingua , David S. Kammer

Many new soft but tough rubbery materials have been recently discovered and new applications such as flexible prosthetics, stretchable electrodes or soft robotics continuously emerge. Yet, a credible multi-scale quantitative picture of…

Molecular simulations provide a powerful means to unravel the complex relationships between network architecture and the mechanical response of polymer networks, with a particular emphasis on rupture and fracture phenomena. Although…

Soft Condensed Matter · Physics 2026-02-02 Yuichi Masubuchi , Takato Ishida , Yusuke Koide , Takashi Uneyama

This study aims to unravel the micro-mechanical underpinnings of the emergence of the fractocohesive length scale as a central concept in modern fracture mechanics. A thermodynamically consistent damage and fracture model for elastomers is…

Soft Condensed Matter · Physics 2025-09-03 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

Mechanical forces can selectively destabilize chemical bonds of molecular systems, particularly in biological and synthetic polymers. While experimental and theoretical methods have advanced our understanding of mechanochemical processes,…

Chemical Physics · Physics 2026-01-29 Daniel Sucerquia , Mikaela Farrugia , Andreas Dreuw , Frauke Gräter

This work introduces a methodology for the statistical mechanical analysis of polymeric chains under tension controlled by optical or magnetic tweezers at thermal equilibrium with an embedding fluid medium. The response of single bonds…

Soft Condensed Matter · Physics 2020-02-26 Aaron C. Meyer , Yahya Öz , Norman Gundlach , Michael Karbach , Ping Lu , Gerhard Müller

The effect of network chain distribution on mechanical behavior of elastomers is one of the long standing problems in rubber mechanics. The classical theory of rubber elasticity is built upon the assumption of entropic elasticity of…

Soft Condensed Matter · Physics 2017-10-06 Mohammad Tehrani , Alireza Sarvestani

We present a loop-opening model that accounts for the molecular details of the intrinsic fracture energy for fracturing polymer networks. This model includes not only the energy released from the scission of bridging chains but also the…

Materials Science · Physics 2024-01-31 Shu Wang , Chase M. Hartquist , Bolei Deng , Xuanhe Zhao

In this study, we introduce a novel stretch-based gradient-enhanced damage (GED) model that allows the fracture to localize and also captures the development of a physically diffuse damage zone. This capability contrasts with the paradigm…

Soft Condensed Matter · Physics 2025-02-06 S. Mohammad Mousavi , Jason Mulderrig , Brandon Talamini , Nikolaos Bouklas

Elastomers that can sustain large reversible strain are essential components for stretchable electronics. The stretchability and mechanical robustness of unfilled elastomers can be enhanced by introducing easier-to-break cross-links, e.g.…

Soft Condensed Matter · Physics 2020-01-20 Yikai Yin , Nicolas Bertin , Yanming Wang , Zhenan Bao , Wei Cai

A micromechanically motivated phase-field damage model is proposed to investigate the fracture behaviour in crosslinked polyurethane adhesive. The crosslinked polyurethane adhesive typically show viscoelastic behaviour with geometric…

Computational Engineering, Finance, and Science · Computer Science 2024-06-11 S. P. Josyula , M. Brede , O. Hesebeck , K. Koschek , W. Possart , A. Wulf , B. Zimmer , S. Diebels

Using Brownian dynamics, we simulate the fracture of polymer interfaces reinforced by diblock connector chains. We find that for short chains the interface fracture toughness depends linearly on the degree of polymerization $N$ of the…

Materials Science · Physics 2009-10-31 Mohsen Sabouri-Ghomi , Slava Ispolatov , Martin Grant

This study demonstrates that the apparent complexity of fracture in phantom-chain polymer networks is fully decoupled into two universal master curves: (i) macroscopic softening governed by the absolute stretch, and (ii) microscopic…

Soft Condensed Matter · Physics 2026-05-22 Yuichi Masubuchi

We consider the force on the end of a polymer chain being pulled through a network at velocity $v$, using computer simulations. We develop algorithms for measuring the force on the end of the chain using lattice models of polymers. Our…

Condensed Matter · Physics 2009-10-22 J. M. Deutsch , Hyoungsoo Yoon

A conceptual difficulty in the Hooke's-law description of ideal Gaussian polymer-chain elasticity is sometimes apparent in analyses of experimental data or in physical models designed to simulate the behavior of biopolymers. The problem,…

Biological Physics · Physics 2009-09-25 Richard M. Neumann

A formula is derived for stiffness of a polymer chain in terms of the distribution function of end-to-end vectors. This relationship is applied to calculate the stiffness of Gaussian chains (neutral and carrying electric charges at the…

Statistical Mechanics · Physics 2007-05-23 A. D. Drozdov

The rupture of a polymer chain maintained at temperature $T$ under fixed tension is prototypical to a wide array of systems failing under constant external strain and random perturbations. Past research focused on analytic and numerical…

Soft Condensed Matter · Physics 2021-03-03 Harish Charan , Alex Hansen , H. G. E. Hentschel , Itamar Procaccia

Polymerization and formation of crosslinked polymer networks are important processes in manufacturing, materials fabrication, and in the case of hydrated polymer networks, synthesis of biomedical materials, drug delivery, and tissue…

Soft Condensed Matter · Physics 2022-12-15 Sam C. P. Norris , Andrea M. Kasko , Tom Chou , Maria R. D'Orsogna