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Cited by 492

The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.

Origami structures with a critical transition to bistability arising from hidden degrees of freedom

Silverberg, Jesse L., Na, Jun-Hee, Evans, Arthur A., Liu, Bin, Hull, Thomas C., Santangelo, Christian D., Lang, Robert J., Hayward, Ryan C., Cohen, Itai·2015·Nature Materials
DOI 10.1038/nmat4232
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Citations

Cites

Research works printed but not linked: 31

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  2. Song, J., Chen, Y. & Lu, G. Axial crushing of thin-walled structures with origami patterns. Thin. Walled Struct. 54, 65–71 (2012). · DOI · Paper page
  3. Schenk, M. & Guest, S. D. Geometry of miura-folded metamaterials. Proc. Natl Acad. Sci. USA 110, 3276–3281 (2013). · DOI · Paper page
  4. Wei, Z. Y., Guo, Z. V., Dudte, L., Liang, H. Y. & Mahadevan, L. Geometric mechanics of periodic pleated origami. Phys. Rev. Lett. 110, 215501 (2013). · DOI · Paper page
  5. Lv, C., Krishnaraju, D., Konjevod, G., Yu, H. & Jiang, H. Origami based mechanical metamaterials. Sci. Rep. 4, 5979–5981 (2014). · DOI · Paper page
  6. Hanna, B. H., Lund, J. M., Lang, R. J., Magleby, S. P. & Howell, L. L. Waterbomb base: A symmetric single-vertex bistable origami mechanism. Smart Mater. Struct. 23, 094009 (2014). · DOI · Paper page
  7. Huffman, D. A. Curvature and creases: A primer on paper. IEEE Trans. Comput. 25, 1010–1019 (1976). · DOI · Paper page
  8. Tachi, T. in Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium: Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures (eds Domingo, A. & Lazaro, C.) 2287–2294 (Editorial Universitat Politècnica de València, 2009); http://go.nature.com/HbzSH1
  9. Hull, T. Project Origami: Activities for Exploring Mathematics (CRC Press, 2012). · DOI
  10. Thiria, B. & Adda-Bedia, M. Relaxation mechanisms in the unfolding of thin sheets. Phys. Rev. Lett. 107, 025506 (2011). · DOI
  11. Dias, M. A., Dudte, L. H., Mahadevan, L. & Santangelo, C. D. Geometric mechanics of curved crease origami. Phys. Rev. Lett. 109, 114301 (2012). · DOI
  12. Lechenault, F., Thiria, B. & Adda-Bedia, M. Mechanical response of a creased sheet. Phys. Rev. Lett. 112, 244301 (2014). · DOI
  13. Feng, S. & Sen, P. N. Percolation on elastic networks: New exponent and threshold. Phys. Rev. Lett. 52, 216–219 (1984). · DOI · Paper page
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  15. Silverberg, J. L. et al. Structure-function relations and rigidity percolation in the shear properties of articular cartilage. Biophys. J. 107, 1–10 (2014). · DOI
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  17. Kane, C. & Lubensky, T. Topological boundary modes in isostatic lattices. Nature Phys. 10, 39–45 (2013). · DOI · Paper page
  18. Chen, B. G-g., Upadhyaya, N. & Vitelli, V. Nonlinear conduction via solitons in a topological mechanical insulator. Proc. Natl Acad. Sci. USA 111, 13004–13009 (2014). · DOI · Paper page
  19. Paulose, J., Chen, B. G-g. & Vitelli, V. Topological modes bound to dislocations in mechanical metamaterials. Nature Phys. 11, 153–156 (2015). · DOI · Paper page
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  21. Keys, A. S., Abate, A. R., Glotzer, S. C. & Durian, D. J. Measurement of growing dynamical length scales and prediction of the jamming transition in a granular material. Nature Phys. 3, 260–264 (2007). · doi:10.1038/nphys572
  22. Van den Wildenberg, S., van Loo, R. & van Hecke, M. Shock waves in weakly compressed granular media. Phys. Rev. Lett. 111, 218003 (2013). · doi:10.1103/physrevlett.111.218003
  23. Thorpe, M. Continuous deformations in random networks. J. Non-Cryst. Solids 57, 355–370 (1983). · DOI · Paper page
  24. Heyman, J. The Science of Structural Engineering (World Scientific, 1999). · doi:10.1142/p163
  25. Maxwell, J. C. On the calculation of the equilibrium and stiffness of frames. Lond. Edinb. Dubl. Phil. Mag. J. Sci. 27, 294–299 (1864). · DOI · Paper page
  26. Calladine, C. Buckminster Fuller’s “tensegrity” structures and Clerk Maxwell’s rules for the construction of stiff frames. Int. J. Solids Struct. 14, 161–172 (1978). · DOI · Paper page
  27. Demaine, E. D., Demaine, M. L., Hart, V., Price, G. N. & Tachi, T. (Non) existence of pleated folds: How paper folds between creases. Graphs Combinator. 27, 377–397 (2011). · DOI
  28. Hull, T. C. Origami3: Proceedings of the Third International Meeting of Origami Science, Mathematics, and Education 29–38 (A K Peters, 2002). · DOI
  29. Fantner, G. E. et al. Sacrificial bonds and hidden length: Unraveling molecular mesostructures in tough materials. Biophys. J. 90, 1411–1418 (2006). · DOI · Paper page
  30. Bende, N. P. et al. Geometrically controlled snapping transitions in shells with curved creases. Preprint at http://arxiv.org/abs/1410.7038 (2014) · arXiv
  31. Na, J-H. et al. Programming reversibly self-folding origami with micropatterned photo-crosslinkable polymer trilayers. Adv. Mater. 27, 79–85 (2015). · DOI · Paper page

Cited by

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Metadata

Authors
Silverberg, J. L., Na, J.-H., Evans, A. A., Liu, B., Hull, T. C., Santangelo, C. D., Lang, R. J., Hayward, R. C., & Cohen, I.
Venue
Nature Materials
Publisher
Springer Science and Business Media LLC
Published
2015-03-09
Volume
14
Issue
4
Pages
389-393
ISSN
  • 1476-1122 (ISSN-L)
  • 1476-4660
DOI
10.1038/nmat4232
OpenAlex
W2073470977
Cited by
492
References
2
FWCI
48.06
Type
journal article
Language
en
Update notices
correction (2015-04-22)
Open access
closed
Licence

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