Buckling-induced encapsulation of structured elastic shells under pressure

We introduce a class of continuum shell structures, the Buckliball, which undergoes a structural transformation induced by buckling under pressure loading. The geometry of the Buckliball comprises a spherical shell patterned with a regular array of circular voids. In order for the pattern transforma...

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Main Authors: Shim, Jongmin, Chen, Elizabeth R., Bertoldi, Katia, Reis, Pedro Miguel, Perdigou, Claude
Other Authors: Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Format: Article
Language:en_US
Published: National Academy of Sciences (U.S.) 2014
Online Access:http://hdl.handle.net/1721.1/89828
https://orcid.org/0000-0003-3984-828X
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author Shim, Jongmin
Chen, Elizabeth R.
Bertoldi, Katia
Reis, Pedro Miguel
Perdigou, Claude
author2 Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
author_facet Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Shim, Jongmin
Chen, Elizabeth R.
Bertoldi, Katia
Reis, Pedro Miguel
Perdigou, Claude
author_sort Shim, Jongmin
collection MIT
description We introduce a class of continuum shell structures, the Buckliball, which undergoes a structural transformation induced by buckling under pressure loading. The geometry of the Buckliball comprises a spherical shell patterned with a regular array of circular voids. In order for the pattern transformation to be induced by buckling, the possible number and arrangement of these voids are found to be restricted to five specific configurations. Below a critical internal pressure, the narrow ligaments between the voids buckle, leading to a cooperative buckling cascade of the skeleton of the ball. This ligament buckling leads to closure of the voids and a reduction of the total volume of the shell by up to 54%, while remaining spherical, thereby opening the possibility of encapsulation. We use a combination of precision desktop-scale experiments, finite element simulations, and scaling analyses to explore the underlying mechanics of these foldable structures, finding excellent qualitative and quantitative agreement. Given that this folding mechanism is induced by a mechanical instability, our Buckliball opens the possibility for reversible encapsulation, over a wide range of length scales.
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spelling mit-1721.1/898282022-10-03T11:11:59Z Buckling-induced encapsulation of structured elastic shells under pressure Shim, Jongmin Chen, Elizabeth R. Bertoldi, Katia Reis, Pedro Miguel Perdigou, Claude Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Massachusetts Institute of Technology. Department of Mechanical Engineering Perdigou, Claude Reis, Pedro Miguel We introduce a class of continuum shell structures, the Buckliball, which undergoes a structural transformation induced by buckling under pressure loading. The geometry of the Buckliball comprises a spherical shell patterned with a regular array of circular voids. In order for the pattern transformation to be induced by buckling, the possible number and arrangement of these voids are found to be restricted to five specific configurations. Below a critical internal pressure, the narrow ligaments between the voids buckle, leading to a cooperative buckling cascade of the skeleton of the ball. This ligament buckling leads to closure of the voids and a reduction of the total volume of the shell by up to 54%, while remaining spherical, thereby opening the possibility of encapsulation. We use a combination of precision desktop-scale experiments, finite element simulations, and scaling analyses to explore the underlying mechanics of these foldable structures, finding excellent qualitative and quantitative agreement. Given that this folding mechanism is induced by a mechanical instability, our Buckliball opens the possibility for reversible encapsulation, over a wide range of length scales. Harvard University. Materials Research Science and Engineering Center (National Science Foundation (U.S.) (Award DMR-0820484)) MIT-France Program Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Department of Civil and Environmental Engineering 2014-09-19T13:13:12Z 2014-09-19T13:13:12Z 2012-03 2011-09 Article http://purl.org/eprint/type/JournalArticle 0027-8424 1091-6490 http://hdl.handle.net/1721.1/89828 Shim, J., C. Perdigou, E. R. Chen, K. Bertoldi, and P. M. Reis. “Buckling-Induced Encapsulation of Structured Elastic Shells Under Pressure.” Proceedings of the National Academy of Sciences 109, no. 16 (March 26, 2012): 5978–5983. https://orcid.org/0000-0003-3984-828X en_US http://dx.doi.org/10.1073/pnas.1115674109 Proceedings of the National Academy of Sciences 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. application/pdf National Academy of Sciences (U.S.) PNAS
spellingShingle Shim, Jongmin
Chen, Elizabeth R.
Bertoldi, Katia
Reis, Pedro Miguel
Perdigou, Claude
Buckling-induced encapsulation of structured elastic shells under pressure
title Buckling-induced encapsulation of structured elastic shells under pressure
title_full Buckling-induced encapsulation of structured elastic shells under pressure
title_fullStr Buckling-induced encapsulation of structured elastic shells under pressure
title_full_unstemmed Buckling-induced encapsulation of structured elastic shells under pressure
title_short Buckling-induced encapsulation of structured elastic shells under pressure
title_sort buckling induced encapsulation of structured elastic shells under pressure
url http://hdl.handle.net/1721.1/89828
https://orcid.org/0000-0003-3984-828X
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