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We present a theory for the elasticity of cross-linked stiff polymer networks. Stiff polymers, unlike their flexible counterparts, are highly anisotropic elastic objects. Similar to mechanical beams stiff polymers easily deform in bending,…

软凝聚态物质 · 物理学 2007-11-26 C. Heussinger , B. Schaefer , E. Frey

Polymer network models construct the constitutive relationships of a broader polymer network from the behavior of a single polymer chain (e.g. viscoelastic response to applied forces, applied electromagnetic fields, etc.). Network models…

软凝聚态物质 · 物理学 2024-12-31 Matthew Grasinger

Reversible crosslinking is a design paradigm for polymeric materials, wherein they are microscopically reinforced with chemical species that form transient crosslinks between the polymer chains. Besides the potential for self-healing,…

软凝聚态物质 · 物理学 2019-04-29 Nicholas B. Tito , Costantino Creton , Cornelis Storm , Wouter G. Ellenbroek

Entanglement of polymer chains is ubiquitous in elastomers, gels, and biological tissues. While the effects of chain entanglement on elasticity and viscoelasticity of polymer networks have been intensively studied, it remains elusive how…

软凝聚态物质 · 物理学 2021-12-24 Dongchang Zheng , Shaoting Lin , Jiahua Ni , Xuanhe Zhao

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…

软凝聚态物质 · 物理学 2026-05-19 Noy Cohen , Nikolaos Bouklas , Chung-Yuen Hui

Recent experiments have demonstrated that the nonlinear elasticity of in vitro networks of the biopolymer actin is dramatically altered in the presence of a flexible cross-linker such as the abundant cytoskeletal protein filamin. The basic…

软凝聚态物质 · 物理学 2015-05-13 C. P. Broedersz , C. Storm , F. C. MacKintosh

The effect of network chain distribution on the 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…

软凝聚态物质 · 物理学 2017-10-24 Mohammad Tehrani

Multiple polymer networks, such as double-network elastomers comprising a sacrificial and a matrix network, exhibit exceptional mechanical resilience, commonly attributed to the formation of an extended damage zone before a crack can grow.…

Self-healing polymers crosslinked by solely reversible bonds are intrinsically weaker than common covalently crosslinked networks. Introducing covalent crosslinks into a reversible network would improve mechanical strength. It is…

材料科学 · 物理学 2021-09-13 Jinrong Wu , Li-Heng Cai , David A. Weitz

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…

We study the elasticity of fibrous materials composed of generalized stiff polymers. It is shown that in contrast to cellular foam-like structures affine strain fields are generically unstable. Instead, a subtle interplay between the…

软凝聚态物质 · 物理学 2007-05-23 Claus Heussinger , Erwin Frey

Motivated by recent experiments showing nonlinear elasticity of in vitro networks of the biopolymer actin cross-linked with filamin, we present an effective medium theory of flexibly cross-linked stiff polymer networks. We model such…

软凝聚态物质 · 物理学 2008-10-19 C. P. Broedersz , C. Storm , F. C. MacKintosh

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…

软凝聚态物质 · 物理学 2013-01-21 Jack F. Douglas

A priori assumption in micromechanical analysis of polymeric networks is that the constitutive polymer strands are of equal length. Monodisperse distribution of strands, however, is merely a simplifying assumption. In this paper, we relax…

材料科学 · 物理学 2017-10-06 Mohammad Tehrani , Mohammad Hossein Moshaei , Alireza Sarvestani

Highly stretchable and self-healable supramolecular elastomers are promising materials for future soft electronics, biomimetic systems, and smart textiles, due to their dynamic cross-linking bonds. The dynamic or reversible nature of the…

软凝聚态物质 · 物理学 2024-01-23 Yikai Yin , Shaswat Mohanty , Christopher B. Cooper , Zhenan Bao , Wei Cai

The non-linear stress-strain relation for crosslinked polymer networks is studied using molecular dynamics simulations. Previously we demonstrated the importance of trapped entanglements in determining the elastic and relaxational…

软凝聚态物质 · 物理学 2009-10-31 Gary S. Grest , Mathias Puetz , Kurt Kremer , Ralf Everaers

Here, the general design and properties of new multiple network elastomers with an exceptional combination of stiffness, toughness, and elasticity are reported. In this paper, it is reported in more detail how the increase in strain at…

软凝聚态物质 · 物理学 2017-02-14 Etienne Ducrot , Costantino Creton

Filamentous bio-materials such as fibrin or collagen networks exhibit an enormous stiffening of their elastic moduli upon large deformations. This pronounced nonlinear behavior stems from a significant separation between the stiffnesses…

软凝聚态物质 · 物理学 2019-05-21 Robbie Rens , Carlos Villarroel , Gustavo Düring , Edan Lerner

The stretchability of polymeric materials is critical to many applications such as stretchable electronics and soft robotics, yet the stretchability of conventional cross-linked linear polymers is limited by the entanglements between…

软凝聚态物质 · 物理学 2022-06-22 Jiuling Wang , Thomas C. O'Connor , Gary S. Grest , Ting Ge

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.…

生物物理 · 物理学 2007-05-23 T. Van Dillen , P. R. Onck , E. Van der Giessen
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