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Disordered filamentous networks with compliant crosslinks exhibit a low linear elastic shear modulus at small strains, but stiffen dramatically at high strains. Experiments have shown that the elastic modulus can increase by up to three…

Biological Physics · Physics 2015-01-06 Knut M. Heidemann , Abhinav Sharma , Florian Rehfeldt , Christoph F. Schmidt , Max Wardetzky

We present a revised theoretical study of the affine assumption applied to semiflexible networks. Drawing on simple models of semiflexible worm-like chains we derive an expression for the probability distribution of crosslink separations…

Soft Condensed Matter · Physics 2008-09-01 J. R. Blundell , E. M. Terentjev

Cells actively probe and respond to the stiffness of their surroundings. Since mechanosensory cells in connective tissue are surrounded by a disordered network of biopolymers, their in vivo mechanical environment can be extremely…

Soft Condensed Matter · Physics 2016-08-05 Farzan Beroz , Louise M. Jawerth , Stefan Münster , David A. Weitz , Chase P. Broedersz , Ned S. Wingreen

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 have used kinetic Monte Carlo simulations to study the kinetics of unfolding of cross-linked polymer chains under mechanical loading. As the ends of a chain are pulled apart, the force transmitted by each crosslink increases until it…

Biological Physics · Physics 2009-11-10 Kilho Eom , Dmitrii E Makarov , Gregory J. Rodin

While stretching of most polymer chains leads to rather featureless force-extension diagrams, some, notably DNA, exhibit non-trivial behavior with a distinct plateau region. Here we propose a unified theory that connects force-extension…

Mesoscale and Nanoscale Physics · Physics 2013-02-26 Alexander V. Savin , Mikhail A. Mazo , Irina P. Kikot , Alexey V. Onufriev

We study spontaneous deformations of a ribbon made of nematic polymer networks and activated under the action of a mechanical load. We show that when such ribbons are activated appropriately, the deformations produced can pull back and…

Soft Condensed Matter · Physics 2025-12-16 H. Singh , K. Suryanarayanan , E. G. Virga

The fracture of end-linked polymer networks and gels has a significant impact on the performance of these versatile and widely used materials, and a molecular-level understanding of the fracture process is crucial for the design of new…

Soft Condensed Matter · Physics 2023-09-26 Han Zhang , Robert A. Riggleman

Recent developments of microscopic mechanical experiments allow the manipulation of individual polymer molecules in two main ways: \textit{uniform} stretching by external forces and \textit{non-uniform} stretching by external fields. Many…

Biological Physics · Physics 2015-06-11 Fabio Manca , Stefano Giordano , Pier Luca Palla , Fabrizio Cleri , Luciano Colombo

Double network hydrogels show remarkable mechanical performance, combining high strength and fracture toughness with sufficient stiffness to bear load, despite containing only a low density of cross-linked polymer molecules in water. We…

Soft Condensed Matter · Physics 2025-10-09 Samuel B. Walker , Suzanne M. Fielding

The nonlinear mechanics of a flexible elastic rod constrained at its edges by a pair of sliding sleeves is analyzed. The planar equilibrium configurations of this variable-length elastica are found to have shape defined only by the…

Soft Condensed Matter · Physics 2024-09-19 Alessandro Cazzolli , Francesco Dal Corso

When elastic solids are sheared, a nonlinear effect named after Poynting gives rise to normal stresses or changes in volume. We provide a novel relation between the Poynting effect and the microscopic Gr\"uneisen parameter, which quantifies…

Soft Condensed Matter · Physics 2018-04-16 Karsten Baumgarten , Brian P. Tighe

Biopolymer Networks play an important role in coordinating and regulating collective cellular dynamics via a number of signaling pathways. Here, we investigate the mechanical response of a model biopolymer network due to the active…

Soft Condensed Matter · Physics 2016-11-23 Long Liang , Christopher Jones , Bo Sun , Yang Jiao

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

Cross-linked polymer networks with orientational order constitute a wide class of soft materials and are relevant to biological systems (e.g., F-actin bundles). We analytically study the nonlinear force-extension relation of an array of…

Disordered Systems and Neural Networks · Physics 2015-06-05 Panayotis Benetatos , Stephan Ulrich , Annette Zippelius

The dynamic-mechanical response of flexible polymer networks is studied in the framework of tube model, in the limit of small affine deformations, using the approach based on Rayleighian dissipation function. The dynamic complex modulus G*…

Soft Condensed Matter · Physics 2009-10-31 S. F. Edwards , H. Takano , E. M. Terentjev

We study the elasticity of a two-dimensional random network of rigid rods (``Mikado model''). The essential features incorporated into the model are the anisotropic elasticity of the rods and the random geometry of the network. We show that…

Soft Condensed Matter · Physics 2007-05-23 Jan Wilhelm , Erwin Frey

Soft robotics requires materials that are capable of large deformation and amenable to actuation with external stimuli such as electric fields. Energy harvesting, biomedical devices, flexible electronics and sensors are some other…

Soft Condensed Matter · Physics 2021-05-27 Matthew Grasinger , Kosar Mozaffari , Pradeep Sharma

Collagen is the main structural and load-bearing element of various connective tissues, where it forms the extracellular matrix that supports cells. It has long been known that collagenous tissues exhibit a highly nonlinear stress-strain…

We provide universal formulae for the limiting stretching and bending energies of triangulated membrane networks endowed with nearest neighbor bond potentials and cosine-type dihedral angle potentials. The given formulae account for finite…

Materials Science · Physics 2015-05-27 Bernd Schmidt , Fernando Fraternali
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