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Buckling-induced encapsulation of structured elastic shells under pressure
Open accessAbstract
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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Forterre, Y., Skotheim, J. M., Dumais, J., & Mahadevan, L. (2005) · Nature · doi:10.1038/nature03185 · Cited by 1,093
Research works printed but not linked: 32
- 10.1063/1.1622800 · DOI
- 10.1088/0022-3727/41/19/193001 · DOI
- 10.1063/1.3462302 · doi:10.1063/1.3462302
- 10.1126/science.282.5391.1111 · DOI · Paper page
- 10.1002/anie.200300568 · DOI · Paper page
- 10.1002/adma.200600222 · DOI
- 10.1002/smll.200800834 · doi:10.1002/smll.200800834
- 10.1002/anie.200501500 · DOI · Paper page
- 10.1039/b411669k · DOI
- 10.1021/jp036301n · DOI · Paper page
- 10.1021/la050118z · DOI · Paper page
- 10.1117/12.387763 · doi:10.1117/12.387763
- 10.1088/0960-1317/16/5/R01 · DOI · Paper page
- 10.1126/science.1107976 · DOI · Paper page
- 10.1039/c0sm00092b · DOI · Paper page
- 10.1128/MMBR.63.4.862-922.1999 · DOI · Paper page
- 10.1016/S0969-2126(01)00135-6 · DOI · Paper page
- 10.1038/30211 · DOI · Paper page
- 10.1016/j.ijsolstr.2003.09.046 · doi:10.1016/j.ijsolstr.2003.09.046
- F Kovács, T Tarnai, SD Guest, PW Gowler, Double-link expandohedra: A mechanical model for expansion of a virus. Proc R Soc London A Math Phys 460, 3192–3202 (2004).
- RB Fuller Synergetics: Explorations in the Geometry of Thinking (MacMillan, New York, 1982).
- RD Stuart Polyhedral and Mosaic Transformations (Student Publications of the School of Design, North Carolina State University, Raleigh, NC, 1963).
- 10.1016/0898-1221(89)90160-0 · doi:10.1016/0898-1221(89)90160-0
- 10.1002/adma.200901956 · DOI · Paper page
- 10.1038/318162a0 · DOI · Paper page
- 10.1103/PhysRevLett.106.234301 · doi:10.1103/physrevlett.106.234301
- 10.1115/1.3607667 · doi:10.1115/1.3607667
- 10.1007/BF02327133 · doi:10.1007/bf02327133
- PR Cromwell Polyhedra (Cambridge Univ Press, Cambridge, UK, 1997).
- 10.1016/j.sna.2004.12.011 · DOI · Paper page
- 10.1126/science.1212822 · DOI · Paper page
- 10.5254/1.3538343 · DOI · Paper page
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Self-citationSoft Actuators for Small-Scale Robotics
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Kolken, H. M. A., & Zadpoor, A. A. (2017) · RSC Advances · doi:10.1039/c6ra27333e · Cited by 788
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Florijn, B., Coulais, C., & van Hecke, M. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.175503 · Cited by 636
Three‐Dimensional Printing of Elastomeric, Cellular Architectures with Negative Stiffness
Duoss, E. B., Weisgraber, T. H., Hearon, K., Zhu, C., Small, W., Metz, T. R., Vericella, J. J., Barth, H. D., Kuntz, J. D., Maxwell, R. S., et al. (2014) · Advanced Functional Materials · doi:10.1002/adfm.201400451 · Cited by 316
Metadata
- Authors
- Shim, J., Perdigou, C., Chen, E. R., Bertoldi, K., & Reis, P. M.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2012-03-26
- Volume
- 109
- Issue
- 16
- Pages
- 5978-5983
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2027456736
- Cited by
- 263
- References
- 1
- FWCI
- 24.01
- Type
- journal article
- Language
- en
- Open access
- green
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- Shim, J., Perdigou, C., Chen, E. R., Bertoldi, K., & Reis, P. M. (2012). Buckling-induced encapsulation of structured elastic shells under pressure. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.1115674109
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