  Recent developments in the engineering of metamaterials have brought forth a
myriad of mesmerizing mechanical properties that do not exist in ordinary
solids. Among these, twisting metamaterials, acoustical chirality, or Willis
coupling are sample-size dependent. The purpose of this work is, first, to
examine the mechanical performance of a new twisting cubic metamaterial. Then,
we perform a comparative investigation of its twisting behavior using the
finite element method on microstructure elements computation, an analytical
model, and we compare them to Eringen micropolar continuum. Notably, the
results of the three models are in good qualitative and quantitative
agreements. Finally, a systematic comparison of dispersion relations was made
for the continuum and for the microstructures with different sizes in unit
cells as final proof of perfect mapping.
