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Related papers: Odd Cosserat elasticity in active materials

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Chiral active materials are abundant in nature, including the cytoskeleton with attached motor proteins, rotary clusters of bacteria flagella, and self-spinning starfish embryos. These materials break both time reversal and mirror-image…

Soft Condensed Matter · Physics 2025-10-17 Cheng-Tai Lee , Tom C. Lubensky , Tomer Markovich

Active chiral viscoelastic materials exhibit elastic responses perpendicular to the applied stresses, referred to as odd elasticity. We use a covariant formulation of viscoelasticity combined with an entropy production analysis to show that…

Soft Condensed Matter · Physics 2022-05-30 Ruben Lier , Jay Armas , Stefano Bo , Charlie Duclut , Frank Jülicher , Piotr Surówka

Odd viscosity couples stress to strain rate in a dissipationless way. It has been studied in plasmas under magnetic fields, superfluid ${\rm He}^3$, quantum-Hall fluids, and recently in the context of chiral active matter. In most of these…

Soft Condensed Matter · Physics 2024-09-04 Tomer Markovich , Tom C. Lubensky

Rheological properties of chiral active materials have been an important area of research in the recent past, in particular regarding odd terms in their mechanical response. While much progress has been made in the study of odd viscous…

Soft Condensed Matter · Physics 2025-09-08 Debarghya Banerjee , Peter Sollich

Odd elasticity encompasses active elastic systems whose stress-strain relationship is not compatible with a potential energy. As the requirement of energy conservation is lifted from linear elasticity, new anti-symmetric (odd) components…

Soft Condensed Matter · Physics 2025-07-15 Michele Fossati , Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

Odd elasticity describes the unusual elastic response of solids whose stress-strain relationship is not compatible with an elastic potential. Here, we present a study of odd elasticity in a driven granular matter system composed of grains…

Soft Condensed Matter · Physics 2023-12-01 Rosalind Huang , Rituparno Mandal , Colin Scheibner , Vincenzo Vitelli

Motivated by recent strain-limiting models for solids and biological fibers, we introduce the first intrinsic set of nonlinear constitutive relations, between the geometrically exact strains and the components of the contact force and…

Mathematical Physics · Physics 2022-09-23 K. R. Rajagopal , Casey Rodriguez

Micropolar active matter requires for its kinematic description both positional and orientational degrees of freedom. Activity generates dynamic coupling between these kinematic variables that are absent in micropolar passive matter, such…

Soft Condensed Matter · Physics 2022-02-15 Austen Bolitho , Ronojoy Adhikari

The Cosserat model generalises an elastic material taking into account the possible microstructure of the elements of the material continuum. In particular, within the Cosserat model the structured material point is rigid and can only…

Mathematical Physics · Physics 2015-11-17 Christian G. Boehmer , Patrizio Neff , Belgin Seymenoglu

We analyze the behavior of a suspension of active polar particles under shear. In the absence of external forces, orientationally ordered active particles are known to exhibit a transition to a state of non-uniform polarization and…

Soft Condensed Matter · Physics 2010-05-07 Luca Giomi , M. Cristina Marchetti , Tanniemola B. Liverpool

The antiplane strain Green's functions for an applied concentrated force and moment are obtained for Cosserat elastic solids with extreme anisotropy, which can be tailored to bring the material in a state close to an instability threshold…

Soft Condensed Matter · Physics 2016-02-17 Panos A. Gourgiotis , Davide Bigoni

Hooke's law states that the forces or stresses experienced by an elastic object are proportional to the applied deformations or strains. The number of coefficients of proportionality between stress and strain, i.e., the elastic moduli, is…

Chiral active materials display odd dynamical effects in both their elastic and viscous responses. We show that the most symmetric mesophase with two-dimensional odd elasticity in three dimensions is chiral, polar and columnar, with…

Soft Condensed Matter · Physics 2025-01-03 S. J. Kole , Gareth P. Alexander , Ananyo Maitra , Sriram Ramaswamy

The mechanical response of active media ranging from biological gels to living tissues is governed by a subtle interplay between viscosity and elasticity. In this Letter, we generalize the canonical Kelvin-Voigt and Maxwell models to active…

Soft Condensed Matter · Physics 2021-03-31 Debarghya Banerjee , Vincenzo Vitelli , Frank Jülicher , Piotr Surówka

Crystallography typically studies collections of point particles whose interaction forces are the gradient of a potential. Lifting this assumption generically gives rise in the continuum limit to a form of elasticity with additional moduli…

Soft Condensed Matter · Physics 2021-12-30 Lara Braverman , Colin Scheibner , Bryan VanSaders , Vincenzo Vitelli

We generalize the odd elasticity of planar materials to thermoelasticity, admitting spatially inhomogeneous properties. First, we show that for active systems breaking Onsager relations thermal evolution is given by an odd generalization of…

Soft Condensed Matter · Physics 2024-02-23 Martin Ostoja-Starzewski , Piotr Surówka

Elasticity typically refers to a material's ability to store energy, while viscosity refers to a material's tendency to dissipate it. In this review, we discuss fluids and solids for which this is not the case. These materials display…

Soft Condensed Matter · Physics 2023-03-29 Michel Fruchart , Colin Scheibner , Vincenzo Vitelli

Chiral active fluids are materials composed of self-spinning rotors that continuously inject energy and angular momentum at the microscale. Out-of-equilibrium fluids with active-rotor constituents have been experimentally realized using…

Soft Condensed Matter · Physics 2017-11-22 Debarghya Banerjee , Anton Souslov , Alexander G. Abanov , Vincenzo Vitelli

Materials with extreme mechanical anisotropy are designed to work near a material instability threshold where they display stress channelling and strain localization, effects that can be exploited in several technologies. Extreme couple…

Mathematical Physics · Physics 2016-02-17 Panos A. Gourgiotis , Davide Bigoni

Odd viscoelastic materials are constrained by fewer symmetries than their even counterparts. The breaking of these symmetries allow these materials to exhibit different features, which have attracted considerable attention in recent years.…

Soft Condensed Matter · Physics 2024-08-21 Charlie Duclut , Stefano Bo , Ruben Lier , Jay Armas , Piotr Surówka , Frank Jülicher
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