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Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff…

Soft Condensed Matter · Physics 2008-06-23 Felix Höfling , Tobias Munk , Erwin Frey , Thomas Franosch

There is a growing interest in producing materials with mechanical behaviours similar to those of internal organs. An artificial tissue may be expected to experience several types of compressive and shear deformation in the course of normal…

Applied Physics · Physics 2018-01-01 Utkarsh Jain

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

Machine Learning · Computer Science 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

The conductivity of ionic solutions is arguably their most important trait, being widely used in electrochemical, biochemical, and environmental applications. The Debye-H\"uckel-Onsager theory successfully predicts the conductivity at very…

Soft Condensed Matter · Physics 2023-01-03 Yael Avni , Ram M. Adar , David Andelman , Henri Orland

A novel statistical model for the cooperative binding of monomeric ligands to a linear lattice is developed to study the interaction of ionic surfactant molecules with flexible polyion chain in dilute solution. Electrostatic binding of a…

Soft Condensed Matter · Physics 2015-01-13 T. Nishio , T. Shimizu , Sh. Yoshida , A. Minakata

For nearly a century, introduction of nanoparticles to elastomers has yielded extraordinarily tough nanocomposites that are critical to technologies from actuators to tires. The mechanisms by which this reinforcement occurs have…

Soft Condensed Matter · Physics 2025-09-08 Pierre Kawak , Harshad Bhapkar , David S. Simmons

We construct a homogeneous, nonlinear elastic constitutive law, that models aspects of the mechanical behavior of inhomogeneous fibrin networks. Fibers in such networks buckle when in compression. We model this as a loss of stiffness in…

Biological Physics · Physics 2015-12-18 Phoebus Rosakis , Jacob Notbohm , Guruswami Ravichandran

This paper proposes a new metamaterial structure consisting of a periodically porous elastomer with pore coatings. This design enables us to engender finite deformation by a contactless load. As a case study, we apply thermal load to the…

Soft Condensed Matter · Physics 2022-05-30 Yang Liu , Tian Liang , Yuxin Fu , Yu-Xin Xie , Yue-Sheng Wang

Willis dynamic homogenization theory revealed that the effective linear momentum of elastic composites is coupled to their effective strain. % This result, which is partially due to asymmetry at the subwavelength scale, implies that…

Materials Science · Physics 2023-08-16 Kevin Muhafra , Michael R. Haberman , Gal Shmuel

Buckling plays a critical role in the transport and dynamics of elastic microfilaments in Stokesian fluids. However, previous work has only considered filaments with homogeneous structural properties. Filament backbone stiffness can be…

Soft Condensed Matter · Physics 2023-01-20 Thomas Nguyen , Harishankar Manikantan

Many organisms exhibit branching morphologies that twist around each other and become entangled. Entanglement occurs when different objects interlock, creating complex and often irreversible configurations. This physical phenomenon is…

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

Constitutive equations are developed for a polymer fluid, which is treated as a permanent network of strands bridged by junctions. The junctions are assumed to slide with respect to their reference positions under loading. Governing…

Materials Science · Physics 2007-05-23 A. D. Drozdov , R. K. Gupta

Ion transport in concentrated electrolytes plays a fundamental role in electrochemical systems such as lithium ion batteries. Nonetheless, the mechanism of transport amid strong ion-ion interactions remains enigmatic. A key question is…

Soft Condensed Matter · Physics 2022-08-08 Penelope K. Jones , Kara D. Fong , Kristin A. Persson , Alpha A. Lee

Carbon-elastomer composites exhibit complex piezoresistive behaviour that cannot be fully explained by existing macroscopic or microstructural models. In this work, we introduce a network-based modelling methodology to explore the…

Soft Condensed Matter · Physics 2026-01-01 Logan Ritchie , Elke Pahl , Iain Anderson

Ionic microgel particles are intriguing systems in which the properties of thermo-responsive polymeric colloids are enriched by the presence of charged groups. In order to rationalize their properties and predict the behaviour of microgel…

Soft Condensed Matter · Physics 2021-01-28 G. Del Monte , F. Camerin , A. Ninarello , N. Gnan , L. Rovigatti , E. Zaccarelli

We present a model for the dynamics of elastic or poroelastic bodies with monopolar repulsive long-range (electrostatic) interactions at large strains. Our model respects (only) locally the non-self-interpenetration condition but can cope…

Analysis of PDEs · Mathematics 2019-08-07 Tomas Roubicek , Giuseppe Tomassetti

The structural properties of a linear polymer and its evolution in time have a strong bearing on its anisotropic stress response. The mean-square bond length and mean bond angle are the critical parameters that influence the time-varying…

Soft Condensed Matter · Physics 2010-12-30 Prashant Kumar Srivastava , Kartik Venkatraman

Amongst the various fascinating types of material behavior featured by magnetic gels and elastomers are magnetostrictive effects. That is, deformations in shape or changes in volume are induced from outside by external magnetic fields.…

Soft Condensed Matter · Physics 2024-01-30 Lukas Fischer , Andreas M. Menzel

In this paper we propose a nonlinear elasticity model of macromolecular conformational change (deformation) induced by electrostatic forces generated by an implicit solvation model. The Poisson-Boltzmann equation for the electrostatic…

Analysis of PDEs · Mathematics 2010-01-12 Yongcheng Zhou , Michael Holst , James Andrew McCammon