Shelby, RA, Smith, DR & Schultz, S. Experimental verification of a negative refractive index. Science 292, 77-79 (2001).
Li, J. & Chan, CT Double-negative acoustic metamaterial. Phys. Rev. E 70, 055602 (2004).
Clausen, A., Wang, F., Jensen, JS, Sigmund, O. & Lewis, JA Topology of optimized architectures with programmable Poisson’s coefficient over large deformations. Adv. Mater. 27, 5523–5527 (2015).
Konaković-Luković, M., Panetta, J., Crane, K. & Pauly, M. Rapid implantation of curved surfaces via programmable auxetics. ACM Trans. Graphic. 37, 1-13 (2018).
Coulais, C., Teomy, E., de Reus, K., Shokef, Y. & van Hecke, M. Combinatorial design of Texture Mechanical metamaterials. Nature 535, 529-532 (2016).
Guseinov, R., McMahan, C., Pérez, J., Daraio, C. & Bickel, B. Programming temporal morphing of self-atuated shells. Common Nat.. 11, 237 (2020).
Zheng, X. et al. Ultralight and ultrastiff mechanical metamaterials. Science 344, 1373–1377 (2014).
Meza, LR et al. Resilient metamaterials with 3D hierarchical architecture. Proc. Natl Acad. Sci. USA 112, 11502–11507 (2015).
Shan, S. et al. Multistable engineered materials to capture energy from elastic deformation. Adv. Mater. 27, 4296–4301 (2015).
Raney, JR et al. Stable propagation of mechanical signals on light media using stored elastic energy. Proc. Natl Acad. Sci. USA 113, 9722–9727 (2016).
Kim, Y., Yuk, H., Zhao, R., Chester, SA & Zhao, X. Printing of ferromagnetic domains for fast, non-tied soft materials. Nature 558, 274-279 (2018).
Jin, L., Khajehtourian, R., Mueller, J., Rafsanjani, A. & Tournat, V. Transition waves guided in multistable mechanical metamaterials. Proc. Natl Acad. Sci. USA 117, 2319–2325 (2020).
Wang, P., Casadei, F., Shan, S., Weaver, JC & Bertoldi, K. Taking advantage of the buckling to design tunable, locally resonant acoustic metamaterials. Phys. Rev. Lett. 113, 014301 (2014).
Florijn, B., Coulais, C. & Van Hecke, M. Programmable Mechanical metamaterials. Phys. Rev. Lett. 113, 175503 (2014).
Silverberg, JL et al. Using origami design principles to fold reprogrammable mechanical metamaterials. Science 345, 647-650 (2014).
Sussman, DM et al. Algorithmic network Kirigami: a route to pluripotent materials. Proc. Natl Acad. Sci. USA 112, 7449–7453 (2015).
Wang, Y. et al. Architectural networks with adaptive energy absorption. Extrem. Mech. Lett. 33, 100557 (2019).
Medina, E., Farrell, PE, Bertoldi, K. & Rycroft, CH Navigating the landscape of nonlinear mechanical metamaterials for advanced programmability. Phys. Rev. B 101, 064101 (2020).
Novelino, LS, Ze, Q., Wu, S., Paulino, GH & Zhao, R. Untethered control of Funcami microrobots with Distributed Actuation. Proc. Natl Acad. Sci. USA 117, 24096–24101 (2020).
Overvelde, JTB, Kloek, T., D’haen, JJA & Bertoldi, K. Amplifying the response of soft actuators, taking advantage of snap-through instabilities. Proc. Natl Acad. Sci. USA 112, 10863–10868 (2015).
Chen, T., Mueller, J. & Shea, K. Integrated design and simulation of tunable structures of various states manufactured monolithically with 3D printing of various materials. Sci. Representative. 7, 45671 (2017).
Bilal, OR, Foehr, A. & Daraio, C. Reprogrammable fononic metasurfaces. Adv. Mater. 29, 1700628 (2017).
Faber, JA, Arrieta, AF & Studart, AR Bioinspired spring origami. Science 359, 1386–1391 (2018).
Le Ferrand, H., Studart, AR & Arrieta, AF filtered sensing using plug-in composites with built-in mechanical-electrical transduction. ACS Nano 13, 4752–4760 (2019).
Yasuda, H., Korpas, L. & Raney, J. Transition waves and domain wall formation in multistable mechanical metamaterials. Phys. Rev. Appl. 13, 054067 (2020).
Sobota, PM & Seffen, KA Bistable polar-orthotropic shallow shells. R. Soc. Sci open. 6, 190888 (2019).
Jia, Z. & Wang, L. Triple negative mechanical metamaterial triggered by instability. Phys. Rev. Appl. 12, 024040 (2019).
Zheludev, NI & Kivshar, YS From metamaterials to metadevices. Nat. Mater. 11, 917–924 (2012).
Silva, A. et al. Execution of mathematical operations with metamaterials. Science 343, 160-163 (2014).
Cui, TJ, Qi, MQ, Wan, X., Zhao, J. & Cheng, Q. Coding metamaterials, digital metamaterials and programmable metamaterials. Light Sci. Appl. 3, e218 (2014).
Della Giovampaola, C. & Engheta, N. Digital metamaterials. Nat. Mater. 13, 1115-1121 (2014).
Oliveri, G. & Overvelde, JTB Inverse design of mechanical metamaterials that undergo buckling. Adv. Funct. Mater. 30, 1909033 (2020).
Bauhofer, AA et al. Use of photochemical contraction in direct laser writing for the transformation of polymer sheets. Adv. Mater. 29, 1703024 (2017).
Kotikian, A., Truby, RL, Boley, JW, White, TJ & Lewis, JA 3D printing of elastomeric liquid crystal actuators with spatially programmed nematic order. Adv. Mater. 30, 1706164 (2018).
Skylar-Scott, MA, Mueller, J., Visser, CW & Lewis, JA Voxelated soft matter via multinozzle multimaterial 3D printing. Nature 575, 330–335 (2019).
Reis, PM, Heinrich, HM & Van Hecke, M. Designer matter: a perspective. Extrem. Mech. Lett. 5, 25-29 (2015)
Ogden, RW Great isotropic elasticity of deformation – in the correlation of theory and experience for incompressible rubber-like solids. Rubber Chem. Technol. 46, 398–416 (1973).
Ogden, RW & Roxburgh, DG A pseudo-elastic model for the Mullins effect in filled rubber. Proc. R. Soc. UMA 455, 2861–2877 (1999).
Mises, RV Über die Stabilitätsprobleme der Elastizitätstheorie. Z. Angew. Mathematics. Mech. 3, 406–422 (1923).
Schneider, CA, Rasband, WS & Eliceiri, KW NIH Image for ImageJ: 25 years of image analysis. Nat. Methods 9, 671–675 (2012).
Griffiths, DJ Introduction to Electrodynamics 3rd ed. (Prentice-Hall, 1999).
Cedolin, L. et al. Structural Stability: Elastic, Inelastic, Fracture and Damage Theories (World Scientific, 2010).