Pentamode metamaterials with independently tailored bulk modulus and\n mass density

2014/07/18 by Muamer Kadic, Kadic, Muamer, Tiemo Bückmann +7 · 2 citations
Engineering · #Acoustic Wave Phenomena Research #Acoustic Wave Resonator Technologies #Cellular and Composite Structures #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci)

paper · pdf · doi:10.48550/arxiv.1407.4894

openalex publication_date 2014/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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