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Computationally efficient design of directionally compliant metamaterials

Shaw, Lucas A. and Sun, Frederick and Portela, Carlos M. and Barranco, Rodolfo I. and Greer, Julia R. and Hopkins, Jonathan B. (2019) Computationally efficient design of directionally compliant metamaterials. Nature Communications, 10 . Art. No. 291. ISSN 2041-1723. PMCID PMC6336888. https://resolver.caltech.edu/CaltechAUTHORS:20190122-090637615

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Abstract

Designing mechanical metamaterials is overwhelming for most computational approaches because of the staggering number and complexity of flexible elements that constitute their architecture—particularly if these elements don’t repeat in periodic patterns or collectively occupy irregular bulk shapes. We introduce an approach, inspired by the freedom and constraint topologies (FACT) methodology, that leverages simplified assumptions to enable the design of such materials with ~6 orders of magnitude greater computational efficiency than other approaches (e.g., topology optimization). Metamaterials designed using this approach are called directionally compliant metamaterials (DCMs) because they manifest prescribed compliant directions while possessing high stiffness in all other directions. Since their compliant directions are governed by both macroscale shape and microscale architecture, DCMs can be engineered with the necessary design freedom to facilitate arbitrary form and unprecedented anisotropy. Thus, DCMs show promise as irregularly shaped flexure bearings, compliant prosthetics, morphing structures, and soft robots.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1038/s41467-018-08049-1DOIArticle
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6336888PubMed CentralArticle
ORCID:
AuthorORCID
Portela, Carlos M.0000-0002-2649-4235
Greer, Julia R.0000-0002-9675-1508
Hopkins, Jonathan B.0000-0003-4752-746X
Additional Information:© 2019 The Author(s). This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/. Received 18 September 2018; Accepted 06 December 2018; Published 17 January 2019. Code availability: The Supplementary Software code is available using a GitHub repository link provided below. Additional code used to generate the plots in the paper beyond that found in Supplementary Software are available from the corresponding author upon request. (https://github.com/jonathanbhopkins/Computationally-Efficient-Design-of-Directionally-Compliant-Metamaterials.git). Data availability: The authors declare that all data supporting the findings of this study are included in the main manuscript file or Supplementary Information or are available from the corresponding author upon request. The computer-aided design (CAD) models necessary to replicate the FEA results of this study are also available from the corresponding author upon request. This work was supported by AFOSR under award number FA9550-15-1-0321. J.B.H. acknowledges program officer Byung “Les” Lee. Daryl Yee is also gratefully acknowledged for his support fabricating the DCM of Fig. 3a. J.R.G. gratefully acknowledges financial support of the Department of Defense through Vannevar-Bush Faculty Fellowship. Author Contributions: L.A.S. coded the GUI for the automated tool and generated the results in Fig. 7. F.S. made the parts and performed the study of Fig. 9. C.M.P. collected the data in Fig. 3 and generated the results of Supplementary Fig. 3. R.I.B. performed the FEA for the DCM of Fig. 3. J.R.G. managed C.M.P. and helped revise the manuscript. J.B.H. conceived the idea of DCMs, created the theory to synthesize them, generated the DCM examples, coded the enabling portion of the automation tool, wrote the paper, made the figures, and managed the project. The authors declare no competing interests.
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)FA9550-15-1-0321
Vannever Bush Faculty FellowshipUNSPECIFIED
National Security Science and Engineering Faculty FellowshipUNSPECIFIED
Subject Keywords:Computational science; Mechanical engineering; Metamaterials
PubMed Central ID:PMC6336888
Record Number:CaltechAUTHORS:20190122-090637615
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190122-090637615
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:92392
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Jan 2019 21:22
Last Modified:03 Oct 2019 20:44

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