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, 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.

9 pages, 5 figures

References in corpus (2)

• Programmable Mechanical Metamaterials
• Mechanical Metamaterials with Negative Compressibility Transitions

Cited by in corpus (5)

• W-shaped Broadband Attenuation of Longitudinal Waves through Composite Elastic Metamaterial
• The emergence of low-frequency dual Fano resonances in chiral twisting metamaterials
• Longitudinal-Twist Wave Converter based on Chiral Metamaterials
• Classification of rotational zero modes in 2D micropolar solids
• Extremal micropolar materials for elastic wave cloaking