Moyen amphi (LPS


21 Oct 2022


11h00 - 12h00

Debarghya Banerjee – Odd Cosserat elasticity in active materials

Odd Cosserat elasticity in active materials

Debarghya Banerjee, MPIPKS, Dresden

Stress-strain constitutive relations in solids with an internal angular degree of freedom can be modelled using the Cosserat or micropolar elasticity. In the theory of \emph{chiral active} Cosserat materials one would find an \emph{odd} elastic term in addition to the usual Cosserat term in the constitutive relations. In this talk, I will develop a natural extension of Cosserat materials to include odd elasticity and discuss the phenomenological effects of these terms. I will discuss about static elastic properties of such a solid, where, we show that static response to vortical stresses lead to strains that depend on both the Cosserat and odd elasticity. We then compute the dispersion of linear solutions in these odd-Cosserat materials, where, we find the presence of \emph{exceptional points} in the dispersion relation. Finally, we show the effect of Cosserat and odd elastic terms on the polarization of Rayleigh edge waves.