Stress-strain constitutive relations in solids with an internal angular degree of freedom can be modeled using
Cosserat (also called micropolar) elasticity. In this paper, we explore Cosserat materials that include chiral active
components and hence odd elasticity. We calculate static elastic properties and show that the static response to
rotational stresses leads to strains that depend on both Cosserat and odd elasticity. We compute the dispersion
relations in odd Cosserat materials in the overdamped regime and find the presence of exceptional points. These
exceptional points create a sharp boundary between a Cosserat-dominated regime of complete wave attenuation
and an odd-elasticity-dominated regime of propagating waves. We conclude by showing the effect of Cosserat
and odd-elasticity terms on the polarization of Rayleigh surface waves.
%0 Journal Article
%1 PhysRevE.108.064609
%A Surówka, Piotr
%A Souslov, Anton
%A Jülicher, Frank
%A Banerjee, Debarghya
%D 2023
%I American Physical Society
%J Phys. Rev. E
%K a
%N 6
%P 064609
%R 10.1103/PhysRevE.108.064609
%T Odd Cosserat elasticity in active materials
%U https://link.aps.org/doi/10.1103/PhysRevE.108.064609
%V 108
%X Stress-strain constitutive relations in solids with an internal angular degree of freedom can be modeled using
Cosserat (also called micropolar) elasticity. In this paper, we explore Cosserat materials that include chiral active
components and hence odd elasticity. We calculate static elastic properties and show that the static response to
rotational stresses leads to strains that depend on both Cosserat and odd elasticity. We compute the dispersion
relations in odd Cosserat materials in the overdamped regime and find the presence of exceptional points. These
exceptional points create a sharp boundary between a Cosserat-dominated regime of complete wave attenuation
and an odd-elasticity-dominated regime of propagating waves. We conclude by showing the effect of Cosserat
and odd-elasticity terms on the polarization of Rayleigh surface waves.
@article{PhysRevE.108.064609,
abstract = {Stress-strain constitutive relations in solids with an internal angular degree of freedom can be modeled using
Cosserat (also called micropolar) elasticity. In this paper, we explore Cosserat materials that include chiral active
components and hence odd elasticity. We calculate static elastic properties and show that the static response to
rotational stresses leads to strains that depend on both Cosserat and odd elasticity. We compute the dispersion
relations in odd Cosserat materials in the overdamped regime and find the presence of exceptional points. These
exceptional points create a sharp boundary between a Cosserat-dominated regime of complete wave attenuation
and an odd-elasticity-dominated regime of propagating waves. We conclude by showing the effect of Cosserat
and odd-elasticity terms on the polarization of Rayleigh surface waves.},
added-at = {2024-03-01T16:43:34.000+0100},
author = {Sur\'owka, Piotr and Souslov, Anton and J\"ulicher, Frank and Banerjee, Debarghya},
biburl = {https://www.bibsonomy.org/bibtex/20aa8f0d220d2b8b12208c5e9b9315017/ctqmat},
day = 15,
doi = {10.1103/PhysRevE.108.064609},
interhash = {b49837ddd7cab1ffe8fdb48ce264719a},
intrahash = {0aa8f0d220d2b8b12208c5e9b9315017},
journal = {Phys. Rev. E},
keywords = {a},
month = {12},
number = 6,
numpages = {12},
pages = 064609,
publisher = {American Physical Society},
timestamp = {2024-03-01T16:43:34.000+0100},
title = {Odd Cosserat elasticity in active materials},
url = {https://link.aps.org/doi/10.1103/PhysRevE.108.064609},
volume = 108,
year = 2023
}