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Motivated by recent experiments showing that stiff biopolymer gels exhibit highly unusual negative normal elastic stresses, we develop a computational model for stiff polymer networks subject to large strains. In all cases, we find that…

软凝聚态物质 · 物理学 2009-11-13 Enrico Conti , F. C. MacKintosh

The longitudinal response of single semiflexible polymers to sudden changes in externally applied forces is known to be controlled by the propagation and relaxation of backbone tension. Under many experimental circumstances, realized, e.g.,…

软凝聚态物质 · 物理学 2011-02-25 Florian Thüroff , Benedikt Obermayer , Erwin Frey

A general nonlinear theory for the elasticity of pre-stressed single crystals is presented. Various types of elastic moduli are defined, their importance is determined, and relationships between them are presented. In particular, B moduli…

材料科学 · 物理学 2022-01-05 Valery I. Levitas

We study the static properties of a semiflexible polymer exposed to a quenched random environment by means of computer simulations. The polymer is modeled as two-dimensional Heisenberg chain. For the random environment we consider hard…

软凝聚态物质 · 物理学 2012-11-20 Sebastian Schoebl , Johannes Zierenberg , Wolfhard Janke

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…

软凝聚态物质 · 物理学 2015-03-19 Naomi Hirayama , Kyoichi Tsurusaki

We propose a theoretical framework for dealing with a transient polymer network undergoing small deformations, based on the rate of breaking and re-forming of network crosslinks and the evolving elastic reference state. In this framework,…

软凝聚态物质 · 物理学 2016-04-27 Fanlong Meng , Robyn H. Pritchard , Eugene M. Terentjev

Aiming at the mechanical properties of cross-linked biopolymers, we set up and analyze a model of two weakly bending wormlike chains subjected to a tensile force, with regularly spaced inter-chain bonds (cross-links) represented by harmonic…

生物物理 · 物理学 2014-06-24 Alice von der Heydt , Daniel Wilkin , Panayotis Benetatos , Annette Zippelius

We discuss the nonlinear elastic response in scale invariant solids. Following previous work, we split the analysis into two basic options: according to whether scale invariance (SI) is a manifest or a spontaneously broken symmetry. In the…

高能物理 - 理论 · 物理学 2020-09-15 Matteo Baggioli , Victor Cancer Castillo , Oriol Pujolas

We study a minimal extension of the worm-like chain to describe polypeptides having alpha-helical secondary structure. In this model presence/absence of secondary structure enters as a scalar variable that controls the local chain bending…

统计力学 · 物理学 2009-11-10 Buddhapriya Chakrabarti , Alex J. Levine

A great variety of models can describe the non-linear response of rubber to uni-axial tension. Yet an in-depth understanding of the successive stages of large extension is still lacking. We show that the response can be broken down in three…

软凝聚态物质 · 物理学 2017-04-12 Michel Destrade , Giuseppe Saccomandi , Ivonne Sgura

Thermally-driven semi-crystalline polymer networks are capable to achieve both the one-way shape-memory effect and two-way shape-memory effect under stress and stress-free conditions, therefore representing an appealing class of polymers…

This work extends the classical dumbbell (two-bead) model of polymer chains to a more detailed multi-bead representation, where each polymer chain consists of $N$ beads connected by $N-1$ springs. We develop a thermodynamically consistent…

软凝聚态物质 · 物理学 2025-06-11 Xuelian Bao , Lidong Fang , Huaxiong Huang , Zilong Song , Shixin Xu

Due to their unique structural and mechanical properties, randomly-crosslinked polymer networks play an important role in many different fields, ranging from cellular biology to industrial processes. In order to elucidate how these…

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

We report the mechanical response of a model nanocomposite system of poly(styrene) (PS)-silica to large-amplitude oscillatory shear deformations. Nonlinear behavior of PS nanocomposites is discussed with the changes in particle dispersion…

软凝聚态物质 · 物理学 2013-01-14 Erkan Senses , Pinar Akcora

Wearable physiological signals exhibit strong nonlinear and subject-dependent behavior, challenging traditional linear models. This study provides a unified evaluation of cognitive load, stress, and physical exercise recognition using three…

信号处理 · 电气工程与系统科学 2025-12-09 Khondakar Ashik Shahriar

Materials characterized by spatially homogeneous elastic moduli undergo affine distortions when subjected to external stress at their boundaries, i.e., their displacements $\uv (\xv)$ from a uniform reference state grow linearly with…

软凝聚态物质 · 物理学 2009-11-11 B. A. DiDonna , T. C. Lubensky

The interaction of crack fronts with asperities is central to the criteria of fracture in heterogeneous materials and for predicting fracture surface formation. It is known how dynamic crack fronts respond to small, 1st-order,…

软凝聚态物质 · 物理学 2025-09-17 Itamar Kolvin , Mokhtar Adda-Bedia

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

We present a model for disordered 3D fiber networks to study their linear and nonlinear elasticity over a wide range of network densities and fiber lengths. In contrast to previous 2D models, these 3D networks with binary cross-links are…

软凝聚态物质 · 物理学 2015-05-30 C. P. Broedersz , M. Sheinman , F. C. MacKintosh