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Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors

McMahan, Connor and Akerson, Andrew and Celli, Paolo and Audoly, Basile and Daraio, Chiara (2022) Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors. Journal of the Mechanics and Physics of Solids, 166 . Art. No. 104934. ISSN 0022-5096. doi:10.1016/j.jmps.2022.104934.

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In this work, we construct an effective continuum model for architected sheets that are composed of bulky tiles connected by slender elastic joints. Due to their mesostructure, these sheets feature quasi-mechanisms — low-energy local kinematic modes that are strongly favored over other deformations. In sheets with non-uniform mesostructure, kinematic incompatibilities arise between neighboring regions, causing out-of-plane buckling. The effective continuum model is based on a geometric analysis of the sheets’ unit cells and their energetically favorable modes of deformation. Its major feature is the construction of a strain energy that penalizes deviations from these preferred modes of deformation. The effect of non-periodicity is entirely described through the use of spatially varying geometric parameters in the model. Our simulations capture the out-of-plane buckling that occurs in non-periodic specimens and show good agreement with experiments. While we only consider one class of quasi-mechanisms, our modeling approach could be applied to a diverse set of shape-morphing systems that are of interest to the mechanics community.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
McMahan, Connor0000-0001-5024-6138
Akerson, Andrew0000-0002-4382-1226
Celli, Paolo0000-0001-7839-7472
Audoly, Basile0000-0002-0534-1467
Daraio, Chiara0000-0001-5296-4440
Additional Information:© 2022 Elsevier Ltd. Received 4 July 2021, Revised 18 April 2022, Accepted 13 May 2022, Available online 26 May 2022. C.M. and C.D. were supported by the US Army Research Office Grant W911NF-17-1-0147. This work was also supported by a NASA Space Technology Research Fellowship to C.M. We thank Andrei Constantinescu and Kaushik Bhattacharya for helpful discussions, and Paul Stovall for assistance with fabrication. The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.
Funding AgencyGrant Number
Army Research Office (ARO)W911NF-17-1-0147
NASA Space Technology Research FellowshipUNSPECIFIED
Subject Keywords:Effective continuum models; Elastic stability; Plate buckling; Compliant structures; Architected solids
Record Number:CaltechAUTHORS:20210809-220327946
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Official Citation:Connor McMahan, Andrew Akerson, Paolo Celli, Basile Audoly, Chiara Daraio, Effective continuum models for the buckling of non-periodic architected sheets that display quasi-mechanism behaviors, Journal of the Mechanics and Physics of Solids, Volume 166, 2022, 104934, ISSN 0022-5096,
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:110187
Deposited By: George Porter
Deposited On:10 Aug 2021 16:27
Last Modified:30 Jun 2022 17:59

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