The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Nonlinear conduction via solitons in a topological mechanical insulator
Open accessAbstract
Significance: Mechanisms are zero-energy motions that are key to the operation of mechanical devices, from windshield wipers to robotic arms. We built and studied chain-like mechanisms of coupled rigid rotors that are topologically protected, which means that they are not affected by smooth changes in material parameters like their quantum analogues. These prototypes are examples of mechanical structures that we dub topological metamaterials. Their mechanical excitations are nonlinear solitary waves which are topologically protected and yet tunable by changing the geometry of the unit cell. Although the left and right edges of the sample are equivalent in terms of local constraint counting, the solitary waves can start propagating only from the edge singled out by the topological polarization of the chain.
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Cites
Colloquium : Topological insulators
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Topological boundary modes in isostatic lattices
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Programmable matter by folding
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Cited by
Flexible mechanical metamaterials
Bertoldi, K., Vitelli, V., Christensen, J., & van Hecke, M. (2017) · Nature Reviews Materials · doi:10.1038/natrevmats.2017.66 · Cited by 1,867
Self-citationExceptional topology of non-Hermitian systems
Bergholtz, E. J., Budich, J. C., & Kunst, F. K. (2021) · Reviews of Modern Physics · doi:10.1103/revmodphys.93.015005 · Cited by 1,711
Huber, S. D. (2016) · Nature Physics · doi:10.1038/nphys3801 · Cited by 738
Origami Multistability: From Single Vertices to Metasheets
Waitukaitis, S., Menaut, R., Chen, B. G.-G., & van Hecke, M. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.055503 · Cited by 326
Self-citationPhonons and elasticity in critically coordinated lattices
Lubensky, T. C., Kane, C. L., Mao, X., Souslov, A., & Sun, K. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/7/073901 · Cited by 270
Metadata
- Authors
- Chen, B. G.-G., Upadhyaya, N., & Vitelli, V.
- Venue
- Proceedings of the National Academy of Sciences
- Published
- 2014-08-25
- Volume
- 111
- Issue
- 36
- Pages
- 13004-13009
- ISSN
- 0027-8424 (ISSN-L)
- 1091-6490
- OpenAlex
- W2004279045
- Cited by
- 296
- References
- 17
- FWCI
- 10.98
- Type
- journal article
- Language
- en
- Open access
- bronze
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