Mapping of elastic properties of twisting metamaterials onto micropolar continuum using static calculations

Abstract

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 and acoustical chirality 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, a phenomenological model, and we compare them to the Eringen micropolar continuum, for which we enunciate a straightforward approach for retrieving effective parameters using static computations. 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.