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We demonstrate a general route to making active, odd elastic solids frompassive chiral elements that can act as sources of mechanical work by violatingstatic equilibrium without internal sources of energy or momentum. We furtherdemonstrate that by starting from a discrete, Newtonian mechanics viewpoint ofthe chiral unit cell, we can develop the continuum field equations forisotropic 2D chiral metamaterials that reveal odd elasticity, while elucidatingthe structure-property relationships underpinning the chiral, elastic modulithat enable the mechanical activity of the chiral metamaterials. Bydemonstrating the energy gain of chiral metamaterials as they undergoquasistatic deformation cycles, we show a new route to designing active,non-reciprocal mechanical metamaterials that can operate at zero frequency.

Mechanical activity and odd elasticity of passive, 2D chiral metamaterials