Inverse design of discrete mechanical metamaterials
Name
PhysRevMaterials.3.095201.pdf
Description
Published version
Size
1.73 MB
Format
Adobe PDF
Checksum (MD5)
a2a116b189de9677ddb704120d463edc
Author(s)
Ronellenfitsch, Henrik
Stoop, Norbert
Yu, Josephine
Forrow, Aden
Dunkel, Jörn
Date Issued
2019
Journal
Physical Review Materials
Publisher
American Physical Society (APS)
Version
Final published version
Abstract
© 2019 American Physical Society. Mechanical and phononic metamaterials exhibiting negative elastic moduli, gapped vibrational spectra, or topologically protected modes enable precise control of structural and acoustic functionalities. While much progress has been made in their experimental and theoretical characterization, the inverse design of mechanical metamaterials with arbitrarily programmable spectral properties and mode localization remains an unsolved problem. Here, we present a flexible computational inverse-design framework that allows the efficient tuning of one or more gaps at nearly arbitrary positions in the spectrum of discrete phononic metamaterial structures. The underlying algorithm optimizes the linear response of elastic networks directly, is applicable to ordered and disordered structures, scales efficiently in two and three dimensions, and can be combined with a wide range of numerical optimization schemes. We illustrate the broad practical potential of this approach by designing mechanical band-gap switches that open and close preprogrammed spectral gaps in response to an externally applied stimulus such as shear or compression. We further show that the designed structures can host topologically protected edge modes, and validate the numerical predictions through explicit three-dimensional finite-element simulations of continuum elastica with experimentally relevant material parameters. Generally, this network-based inverse design paradigm offers a direct pathway toward manufacturing phononic metamaterials, DNA origami structures, and topoelectric circuits that can realize a wide range of static and dynamic target functionalities.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PHYSREVMATERIALS.3.095201
