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Mapping of Elastic Properties of Twisting Metamaterials onto Micropolar Continuum using Static Calculations

Brahim LemkalliMuamer KadicYoussef El BadriS\'ebastien GuenneauAbdenbi BouzidYounes Achaoui
Sep 2022
摘要
Recent developments in the engineering of metamaterials have brought forth amyriad of mesmerizing mechanical properties that do not exist in ordinarysolids. Among these, twisting metamaterials, acoustical chirality, or Williscoupling are sample-size dependent. The purpose of this work is, first, toexamine the mechanical performance of a new twisting cubic metamaterial. Then,we perform a comparative investigation of its twisting behavior using thefinite element method on microstructure elements computation, an analyticalmodel, and we compare them to Eringen micropolar continuum. Notably, theresults of the three models are in good qualitative and quantitativeagreements. Finally, a systematic comparison of dispersion relations was madefor the continuum and for the microstructures with different sizes in unitcells as final proof of perfect mapping.
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