Pentamode metamaterials with independently tailored bulk modulus and mass density

2014/07/18 by Muamer Kadic, Kadic, Muamer, Tiemo Buckmann +8 · 3 citations
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Acoustic Wave Resonator Technologies #Cellular and Composite Structures #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.1407.4894

5 figures

arxiv created 2014/07/18 · openalex publication_date 2014/07/18 · arxiv updated 2016/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a class of linear elastic three-dimensional metamaterials for which the effective parameters bulk modulus and mass density can be adjusted independently over a large range|which is not possible for ordinary materials. First, we systematically evaluate the static mechanical properties and the phonon dispersion relations. We show that the two are quantitatively consistent in the long-wavelength limit. To demonstrate the feasibility, corresponding fabricated polymer microstructures are presented. Finally, we discuss calculations for laminates composed of alternating layers of two different metamaterials with equal bulk modulus yet different mass density. This leads to metamaterials with effectively anisotropic uniaxial dynamic mass density tensors.

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