Abstract
The engineering of microstructures has been adopted as an effective approach to tune the overall performance of advanced ferroelectric materials. In this article, inspired by hierarchical porous biomaterials, the ferroelectric properties of hierarchical cellular ferroelectric metamaterials constructed by six commonly used primitive cubic unit cells are investigated. Both multiscale asymptotic homogenization method and scaling relationship are proposed to predict the effective ferroelectric properties of hierarchical cellular metamaterials. Analysis on the influence of design parameters, e.g. hierarchical order, cell topologies, and relative density on their effective ferroelectric figures of merit is conducted. The 2nd-order hierarchical cellular ferroelectric metamaterial exhibits remarkable improvement compared to the corresponding 2nd order unit cell. For example, the normalized FOM33 of hybrid 2nd-order T3-2/L3-1 (ρ1 = 0.2, ρ2 = 0.25) is 117.49, while 19.95 for 1st-order L3-1 (ρ = 0.05). Increasing structural hierarchical order can further improve the effective ferroelectric properties of hierarchical cellular ferroelectric metamaterials. This work highlights the potential of ultralight hierarchical ferroelectric metamaterials as the next generation of hydrophone, IR detector, flexible self-powered sensors, and thermal energy harvesting devices.
Published Version
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