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Odd Cosserat elasticity in active materials.

Piotr Surówka1,2,3, Anton Souslov4, Frank Jülicher2,5

  • 1Institute of Theoretical Physics, Wrocław University of Science and Technology, 50-370 Wrocław, Poland.

Physical Review. E
|January 20, 2024
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Summary
This summary is machine-generated.

This study explores Cosserat materials with odd elasticity, revealing how rotational stresses influence strain. Exceptional points in these materials create distinct regimes for wave propagation and attenuation.

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Area of Science:

  • Solid mechanics
  • Materials science
  • Theoretical physics

Background:

  • Cosserat elasticity models solids with internal angular degrees of freedom.
  • Chiral active components introduce odd elasticity into Cosserat materials.
  • Understanding these materials is crucial for advanced solid mechanics applications.

Purpose of the Study:

  • To investigate the elastic properties of Cosserat materials incorporating odd elasticity.
  • To analyze the impact of rotational stresses on strain in these materials.
  • To explore wave propagation phenomena and surface wave polarization.

Main Methods:

  • Calculation of static elastic properties.
  • Computation of dispersion relations in the overdamped regime.
  • Analysis of Rayleigh surface wave polarization.

Main Results:

  • Static response to rotational stresses depends on both Cosserat and odd elasticity.
  • Exceptional points are identified in the dispersion relations.
  • A sharp boundary exists between wave attenuation and propagation regimes.

Conclusions:

  • Cosserat and odd elasticity terms significantly affect Rayleigh surface wave polarization.
  • The identified exceptional points delineate distinct wave behavior regimes.
  • This research provides insights into the complex behavior of chiral active Cosserat materials.