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

• DOI: 10.1016/j.ijmecsci.2023.108411
• Publication Date: 2023-04-27T06:07:20Z
• Authors: Brahim Lemkalli; Muamer Kadic; Youssef El Badri; Sébastien Guenneau; Abdenbi Bouzid; Younes Achaoui
• Keywords: Condensed Matter - Materials Science; Materials Science (cond-mat.mtrl-sci); FOS: Physical sciences; Physics - Applied Physics; Applied Physics (physics.app-ph); 02 engineering and technology; 0210 nano-technology; 01 natural sciences; 0104 chemical sciences

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.<br/>9 pages, 5 figures<br/>