Xin X Z, Liu L W, Liu Y J and Leng J S 20204D printing auxetic metamaterials with tunable, programmable, and reconfigurable mechanical properties Adv. Funct. Mater. 302004226 |
Guo X G et al 2020 Designing mechanical metamaterials with kirigami-inspired, hierarchical constructions for giant positive and negative thermal expansion Adv. Mater. 33202004919 |
Nicolaou Z G and Motter A E 2012 Mechanical metamaterials with negative compressibility transitions Nat. Mater. 11608-13 |
Wang J, Dai G L and Huang J P 2020 Thermal metamaterial:fundamental, application, and outlook iScience 23101637 |
Xu G Q, Dong K C, Li Y, Li H G, Liu K P, Li L Q, Wu J Q and Qiu C-W 2020 Tunable analog thermal material Nat. Commun. 116028 |
Yang S, Wang J, Dai G L, Yang F B and Huang J P 2021 Controlling macroscopic heat transfer with thermal metamaterials:theory, experiment and application Phys. Rep. 9081-65 |
Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C and Zhang X 2006 Ultrasonic metamaterials with negative modulus Nat. Mater. 5452-6 |
Fok L, Ambati M and Zhang X 2008 Acoustic metamaterials MRS Bull. 33931-4 |
Lu M-H, Feng L and Chen Y-F 2009 Phononic crystals and acoustic metamaterials Mater. Today 1234-42 |
Smith D R, Pendry J B and Wiltshire M C K 2004 Metamaterials and negative refractive index Science 305788-92 |
Cai W S, Chettiar U K, Kildishev A V and Shalaev V M 2007 Optical cloaking with metamaterials Nat. Photon. 1224-7 |
Feng J W, Fu J Z, Yao X H and He Y 2022 Triply periodic minimal surface (TPMS) porous structures:from multi-scale design, precise additive manufacturing to multidisciplinary applications Int. J. Extrem. Manuf. 4022001 |
Ruan J Q, Chen Y F, Lu M H and Zhu S N 2014 Metamaterial based on elastic mechanics Sci. Sin. Technol. 441261-70 |
Ho D T and Schwingenschlögl U 2021 Designing graphene origami structures with a giant isotropic negative coefficient of thermal expansion Extreme Mech. Lett. 47101357 |
Yu X L, Zhou J, Liang H Y, Jiang Z Y and Wu L L 2018 Mechanical metamaterials associated with stiffness, rigidity and compressibility:a brief review Prog. Mater. Sci. 94114-73 |
Wu K, Zhao X G, Bifano T G, Anderson S W and Zhang X 2022 Auxetics-inspired tunable metamaterials for magnetic resonance imaging Adv. Mater. 342109032 |
Wu L L, Xi X Q, Li B and Zhou J 2018 Multi-stable mechanical structural materials Adv. Eng. Mater. 201700599 |
Shan S C, Kang S H, Raney J R, Wang P, Fang L C, Candido F, Lewis J A and Bertoldi K 2015 Multistable architected materials for trapping elastic strain energy Adv. Mater. 274296-301 |
Zhu S W, Wang B, Tan X J, Hu J Q, Wang L C, Zhou Z G and Chen S 2021 A novel bi-material negative stiffness metamaterial in sleeve-type via combining rigidity with softness Compos. Struct. 262113381 |
Zhang H, Wu J, Fang D N and Zhang Y H 2021 Hierarchical mechanical metamaterials built with scalable tristable elements for ternary logic operation and amplitude modulation Sci. Adv. 7 eabf1966 |
Shi J H, Mofatteh H, Mirabolghasemi A, Desharnais G and Akbarzadeh A 2021 Programmable multistable perforated shellular Adv. Mater. 332102423 |
Pal A, Restrepo V, Goswami D and Martinez R V 2021 Exploiting mechanical instabilities in soft robotics:control, sensing, and actuation Adv. Mater. 332006939 |
Chi Y D, Li Y B, Zhao Y, Hong Y Y, Tang Y C and Yin J 2022 Bistable and multistable actuators for soft robots:structures, materials, and functionalities Adv. Mater. 342110384 |
Pan F, Li Y L, Li Z Y, Yang J L, Liu B and Chen Y L 20193D pixel mechanical metamaterials Adv. Mater. 311900548 |
Wu S, Ze Q, Dai J Z, Udipi N, Paulino G H and Zhao R K 2021 Stretchable origami robotic arm with omnidirectional bending and twisting Proc. Natl Acad. Sci. USA 118 e2110023118 |
Faber J A, Udani J P, Riley K S, Studart A R and Arrieta A F 2020 Dome-patterned metamaterial sheets Adv. Sci. 72001955 |
Song Y P, Panas R M, Chizari S, Shaw L A, Jackson J A, Hopkins J B and Pascall A J 2019 Additively manufacturable micro-mechanical logic gates Nat. Commun. 10882 |
Melancon D, Forte A E, Kamp L M, Gorissen B and Bertoldi K 2022 Inflatable origami:multimodal deformation via multistability Adv. Funct. Mater. 322201891 |
Lin X, Pan F, Yang K, Guan J, Ding B, Liu Y Z, Yang K J, Liu B and Chen Y L 2021 A stair-building strategy for tailoring mechanical behavior of re-customizable metamaterials Adv. Funct. Mater. 312101808 |
Aksoy B and Shea H 2022 Multistable shape programming of variable-stiffness electromagnetic devices Sci. Adv. 8 eabk0543 |
Deng B L, Zanaty M, Forte A E and Bertoldi K 2022 Topological solitons make metamaterials crawl Phys. Rev. Appl. 17014004 |
Ze Q, Wu S, Nishikawa J, Dai J Z, Sun Y, Leanza S, Zemelka C, Novelino L S, Paulino G H and Zhao R R 2022 Soft robotic origami crawler Sci. Adv. 8 eabm7834 |
Kim Y, van den Berg J and Crosby A J 2021 Autonomous snapping and jumping polymer gels Nat. Mater. 201695-701 |
Chen T, Pauly M and Reis P M 2021 A reprogrammable mechanical metamaterial with stable memory Nature 589386-90 |
Mei T, Meng Z Q, Zhao K J and Chen C Q 2021 A mechanical metamaterial with reprogrammable logical functions Nat. Commun. 127234 |
Yasuda H, Tachi T, Lee M and Yang J 2017 Origami-based tunable truss structures for non-volatile mechanical memory operation Nat. Commun. 8962 |
Raney J R, Nadkarni N, Daraio C, Kochmann D M, Lewis J A and Bertoldi K 2016 Stable propagation of mechanical signals in soft media using stored elastic energy Proc. Natl Acad. Sci. USA 1139722-7 |
Chen Y Z and Jin L H 2021 Reusable energy-absorbing architected materials harnessing snapping-back buckling of wide hyperelastic columns Adv. Funct. Mater. 312102113 |
Frenzel T, Findeisen C, Kadic M, Gumbsch P and Wegener M 2016 Tailored buckling microlattices as reusable light-weight shock absorbers Adv. Mater. 285865-70 |
Vasios N, Deng B L, Gorissen B and Bertoldi K 2021 Universally bistable shells with nonzero Gaussian curvature for two-way transition waves Nat. Commun. 12695 |
Jin L S, Khajehtourian R, Mueller J, Rafsanjani A, Tournat V, Bertoldi K and Kochmann D M 2020 Guided transition waves in multistable mechanical metamaterials Proc. Natl Acad. Sci. USA 1172319-25 |
Cao Y T, Derakhshani M, Fang Y H, Huang G L and Cao C Y 2021 Bistable structures for advanced functional systems Adv. Funct. Mater. 312106231 |
Zhang H, Wu J, Zhang Y H and Fang D N 2021 Multistable mechanical metamaterials:a brief review Trans. Nanjing Univ. Aeronaut. Astronaut. 381-17 |
Chi Y D, Hong Y Y, Zhao Y, Li Y B and Yin J 2022 Snapping for high-speed and high-efficient butterfly stroke-like soft swimmer Sci. Adv. 8 eadd3788 |
Lakes R S 2001 Extreme damping in composite materials with a negative stiffness phase Phys. Rev. Lett. 862897-900 |
Moore B, Jaglinski T, Stone D S and Lakes R S 2006 Negative incremental bulk modulus in foams Phil. Mag. Lett. 86651-9 |
Li J, Arora N and Rudykh S 2021 Elastic instabilities, microstructure transformations, and pattern formations in soft materials Curr. Opin. Solid State Mater. Sci. 25100898 |
Fu K J, Zhao Z H and Jin L H 2019 Programmable granular metamaterials for reusable energy absorption Adv. Funct. Mater. 291901258 |
Opdahl P G, Jensen B D and Howell L L 1998 An investigation into compliant bistable mechanisms ASME 1998 Design Engineering Technical Conf. DETC98/MECH-5914, V5901BT5901A5046(ASME) |
Zhu S W, Tan X J, Wang B, Chen S, Hu J Q, Ma L and Wu L Z 2019 Bio-inspired multistable metamaterials with reusable large deformation and ultra-high mechanical performance Extreme Mech. Lett. 32100548 |
Rafsanjani A, Akbarzadeh A and Pasini D 2015 Snapping mechanical metamaterials under tension Adv. Mater. 275931-5 |
Liu Y Z, Pan F, Ding B, Zhu Y L, Yang K J and Chen Y L 2022 Multistable shape-reconfigurable metawire in 3D space Extreme Mech. Lett. 50101535 |
Santer M and Pellegrino S 2011 Concept and design of a multistable plate structure J. Mech. Des. 133081001 |
Restrepo D, Mankame N D and Zavattieri P D 2015 Phase transforming cellular materials Extreme Mech. Lett. 452-60 |
Qiu J, Lang J H and Slocum A H 2004 A curved-beam bistable mechanism J. Microelectromech. Syst. 13137-46 |
Zhang Y L, Velay-Lizancos M, Restrepo D, Mankame N D and Zavattieri P D 2021 Architected material analogs for shape memory alloys Matter 41990-2012 |
Liu X, Lamarque F, Doré E and Pouille P 2015 Multistable wireless micro-actuator based on antagonistic pre-shaped double beams Smart Mater. Struct. 24075028 |
Jeon S-Y, Shen B J, Traugutt N A, Zhu Z Y, Fang L C, Yakacki C M, Nguyen T D and Kang S H 2022 Synergistic energy absorption mechanisms of architected liquid crystal elastomers Adv. Mater. 342200272 |
Tang Y C, Chi Y D, Sun J F, Huang T-H, Maghsoudi O H, Spence A, Zhao J G, Su H and Yin J 2020 Leveraging elastic instabilities for amplified performance:spine-inspired high-speed and high-force soft robots Sci. Adv. 6 eaaz6912 |
Pandey A, Moulton D E, Vella D and Holmes D P 2014 Dynamics of snapping beams and jumping poppers Europhys. Lett. 10524001 |
Hamouche W, Maurini C, Vincenti A and Vidoli S 2016 Basic criteria to design and produce multistable shells Meccanica 512305-20 |
Gorissen B, Melancon D, Vasios N, Torbati M and Bertoldi K 2020 Inflatable soft jumper inspired by shell snapping Sci. Robot. 5 eabb1967 |
Shao H Q, Wei S Z, Jiang X, Holmes D P and Ghosh T K 2018 Bioinspired electrically activated soft bistable actuators Adv. Funct. Mater. 281802999 |
Armon S, Efrati E, Kupferman R and Sharon E 2011 Geometry and mechanics in the opening of chiral seed pods Science 3331726-30 |
Daynes S, Potter K D and Weaver P M 2008 Bistable prestressed buckled laminates Compos. Sci. Technol. 683431-7 |
Forterre Y, Skotheim J M, Dumais J and Mahadevan L 2005 How the Venus flytrap snaps Nature 433421-5 |
Chen Z, Guo Q H, Majidi C, Chen W Z, Srolovitz D J and Haataja M P 2012 Nonlinear geometric effects in mechanical bistable morphing structures Phys. Rev. Lett. 109114302 |
Guest S D and Pellegrino S 2006 Analytical models for bistable cylindrical shells Proc. R. Soc. A 462839-54 |
Silverberg J L, Evans A A, Mcleod L, Hayward R C, Hull T, Santangelo C D and Cohen I 2014 Using origami design principles to fold reprogrammable mechanical metamaterials Science 345647-50 |
Wang Z J, Jing L Q, Yao K, Yang Y H, Zheng B, Soukoulis C M, Chen H S and Liu Y M 2017 Origami-based reconfigurable metamaterials for tunable chirality Adv. Mater. 291700412 |
Fang H B, Chu S C A, Xia Y T and Wang K W 2018 Programmable self-locking origami mechanical metamaterials Adv. Mater. 301706311 |
Waitukaitis S, Menaut R, Chen B G G and Van Hecke M 2015 Origami multistability:from single vertices to metasheets Phys. Rev. Lett. 114055503 |
Zhai Z R, Wu L L and Jiang H Q 2021 Mechanical metamaterials based on origami and kirigami Appl. Phys. Rev. 8041319 |
Xu R, He Y L, Li X, Lu M H and Chen Y F 2023 Snap-fit mechanical metamaterials Appl. Mater. Today 30101714 |
Zhang Y F, Wang Y J and Chen C Q 2019 Ordered deformation localization in cellular mechanical metamaterials J. Mech. Phys. Solids 12328-40 |
Ding J N and Van Hecke M 2022 Sequential snapping and pathways in a mechanical metamaterial J. Chem. Phys. 156204902 |
Florijn B, Coulais C and Van Hecke M 2014 Programmable mechanical metamaterials Phys. Rev. Lett. 113175503 |
Chen Y Z and Jin L H 2018 Geometric role in designing pneumatically actuated pattern-transforming metamaterials Extreme Mech. Lett. 2355-66 |
Zhang Y F, Li B, Zheng Q S, Genin G M and Chen C Q 2019 Programmable and robust static topological solitons in mechanical metamaterials Nat. Commun. 105605 |
Rafsanjani A and Pasini D 2016 Bistable auxetic mechanical metamaterials inspired by ancient geometric motifs Extreme Mech. Lett. 9291-6 |
Shang X, Liu L, Rafsanjani A and Pasini D 2018 Durable bistable auxetics made of rigid solids J. Mater. Res. 33300-8 |
Silverberg J L, Na J-H, Evans A A, Liu B, Hull T C, Santangelo C, Lang R J, Hayward R C and Cohen I 2015 Origami structures with a critical transition to bistability arising from hidden degrees of freedom Nat. Mater. 14389-93 |
Liu K, Pratapa P P, Misseroni D, Tachi T and Paulino G H 2022 Triclinic metamaterials by tristable origami with reprogrammable frustration Adv. Mater. 342107998 |
Li L L, Li B and Chen G M 2022 A non-transit fully compliant tristable mechanism capable of direct switching between every two stable positions Mech. Syst. Signal Process. 169108597 |
Fang X, Wen J H, Cheng L, Yu D L, Zhang H J and Gumbsch P 2022 Programmable gear-based mechanical metamaterials Nat. Mater. 21869-76 |
Meng Z Q, Liu M C, Yan H J, Genin G M and Chen C Q 2022 Deployable mechanical metamaterials with multistep programmable transformation Sci. Adv. 8 eabn5460 |
Boston D M, Phillips F R, Henry T C and Arrieta A F 2022 Spanwise wing morphing using multistable cellular metastructures Extreme Mech. Lett. 53101706 |
Li W C, Wang F W, Sigmund O and Zhang X S 2022 Digital synthesis of free-form multimaterial structures for realization of arbitrary programmed mechanical responses Proc. Natl Acad. Sci. USA 119 e2120563119 |
Haghpanah B, Salari-Sharif L, Pourrajab P, Hopkins J and Valdevit L 2016 Multistable shape-reconfigurable architected materials Adv. Mater. 287915-20 |
Choi G P T, Dudte L H and Mahadevan L 2019 Programming shape using kirigami tessellations Nat. Mater. 18999-1004 |
Meng Z Q, Liu M C, Zhang Y F and Chen C Q 2020 Multi-step deformation mechanical metamaterials J. Mech. Phys. Solids 144104095 |
Yang H and Ma L 2018 Multi-stable mechanical metamaterials with shape-reconfiguration and zero Poisson's ratio Mater. Des. 152181-90 |
Saadi M A S R, Maguire A, Pottackal N T, Thakur M S H, Ikram M M, Hart A J, Ajayan P M and Rahman M M 2022 Direct ink writing:a 3D printing technology for diverse materials Adv. Mater. 342108855 |
Yan J, Huang S Z, Lim Y V, Xu T T, Kong D Z, Li X J, Yang H Y and Wang Y 2022 Direct-ink writing 3D printed energy storage devices:from material selectivity, design and optimization strategies to diverse applications Mater. Today 54110-52 |
Dudek P 2013 FDM 3D printing technology in manufacturing composite elements Arch. Metall. Mater. 581415-8 |
Cheng C Y, Xie H, Xu Z Y, Li L, Jiang M N, Tang L, Yang K K and Wang Y Z 20204D printing of shape memory aliphatic copolyester via UV-assisted FDM strategy for medical protective devices Chem. Eng. J. 396125242 |
Garland A P et al 2020 Coulombic friction in metamaterials to dissipate mechanical energy Extreme Mech. Lett. 40100847 |
Waheed U, Myant C W and Dobson S N 2020 Boolean AND/OR mechanical logic using multi-plane mechanical metamaterials Extreme Mech. Lett. 40100865 |
Mao J-J, Wang S, Tan W and Liu M C 2022 Modular multistable metamaterials with reprogrammable mechanical properties Eng. Struct. 272114976 |
Andreu A, Su P C, Kim J H, Ng C S, Kim S, Kim I, Lee J, Noh J, Subramanian A S and Yoon Y J 20214D printing materials for vat photopolymerization Addit. Manuf. 44102024 |
Xu Y, Mao H C, Liu C Y, Du Z Y, Yan W J, Yang Z Y, Partanen J and Chen Y 2023 Hopping light vat photopolymerization for multiscale fabrication Small 192205784 |
Surjadi J U et al 2022 Lightweight, ultra-tough, 3D-architected hybrid carbon microlattices Matter 54029-46 |
Saccone M A, Gallivan R A, Narita K, Yee D W and Greer J R 2022 Additive manufacturing of micro-architected metals via hydrogel infusion Nature 612685-90 |
Wang P R, Berry D B, Song Z Q, Kiratitanaporn W, Schimelman J, Moran A, He F, Xi B, Cai S Q and Chen S C 20203D printing of a biocompatible double network elastomer with digital control of mechanical properties Adv. Funct. Mater. 301910391 |
Zhang X, Wang Y, Tian Z H, Samri M, Moh K, Mcmeeking R M, Hensel R and Arzt E 2022 A bioinspired snap-through metastructure for manipulating micro-objects Sci. Adv. 8 eadd4768 |
Ge Q, Li Z Q, Wang Z L, Kowsari K, Zhang W, He X N, Zhou J L and Fang N X 2020 Projection micro stereolithography based 3D printing and its applications Int. J. Extrem. Manuf. 2022004 |
TED 2013 The emergence of "4D printing" (available at:www.ted.com/talks/skylar_tibbits_the_emergence_of_4d_printing) |
Fu P et al 20224D printing of polymers:techniques, materials, and prospects Prog. Polym. Sci. 126101506 |
Yuan C, Wang F F and Ge Q 2021 Multimaterial direct 4D printing of high stiffness structures with large bending curvature Extreme Mech. Lett. 42101122 |
Weng S Y, Kuang X, Zhang Q, Hamel C M, Roach D J, Hu N and Jerry Qi H 20214D printing of glass fiber-regulated shape shifting structures with high stiffness ACS Appl. Mater. Interfaces 1312797-804 |
Tao R, Xi L, Wu W W, Li Y, Liao B B, Liu L W, Leng J S and Fang D N 20204D printed multi-stable metamaterials with mechanically tunable performance Compos. Struct. 252112663 |
Spiegel C A, Hackner M, Bothe V P, Spatz J P and Blasco E 20224D printing of shape memory polymers:from macro to micro Adv. Funct. Mater. 322110580 |
Jeong H Y, Lee E, Ha S, Kim N and Jun Y C 2019 Multistable thermal actuators via multimaterial 4D printing Adv. Mater. Technol. 41800495 |
Niknam H, Akbarzadeh A, Therriault D and Bodkhe S 2022 Tunable thermally bistable multi-material structure Appl. Mater. Today 28101529 |
Toombs J T, Luitz M, Cook C C, Jenne S, Li C C, Rapp B E, Kotz-Helmer F and Taylor H K 2022 Volumetric additive manufacturing of silica glass with microscale computed axial lithography Science 376308-12 |
Walker D A, Hedrick J L and Mirkin C A 2019 Rapid, large-volume, thermally controlled 3D printing using a mobile liquid interface Science 366360-4 |
Ren Z S, Gao L, Clark S J, Fezzaa K, Shevchenko P, Choi A, Everhart W, Rollett A D, Chen L Y and Sun T 2023 Machine learning-aided real-time detection of keyhole pore generation in laser powder bed fusion Science 37989-94 |
Liu G et al 2021 Additive manufacturing of structural materials Mater. Sci. Eng. R 145100596 |
Nazir A, Gokcekaya O, Md Masum Billah K, Ertugrul O, Jiang J C, Sun J Y and Hussain S 2023 Multi-material additive manufacturing:a systematic review of design, properties, applications, challenges, and 3D printing of materials and cellular metamaterials Mater. Des. 226111661 |
Gu D D, Shi X Y, Poprawe R, Bourell D L, Setchi R and Zhu J H 2021 Material-structure-performance integrated laser-metal additive manufacturing Science 372 eabg1487 |
Holmes D P and Crosby A J 2007 Snapping surfaces Adv. Mater. 193589-93 |
Fu H et al 2018 Morphable 3D mesostructures and microelectronic devices by multistable buckling mechanics Nat. Mater. 17268-76 |
Kuang X, Roach D J, Wu J T, Hamel C M, Ding Z, Wang T J, Dunn M L and Qi H J 2019 Advances in 4D printing:materials and applications Adv. Funct. Mater. 291805290 |
Liu G, Zhao Y, Wu G and Lu J 2018 Origami and 4D printing of elastomer-derived ceramic structures Sci. Adv. 4 eaat0641 |
Zhang W et al 2022 Stiff shape memory polymers for high-resolution reconfigurable nanophotonics Nano Lett. 228917-24 |
Caprioli M, Roppolo I, Chiappone A, Larush L, Pirri C F and Magdassi S 20213D-printed self-healing hydrogels via digital light processing Nat. Commun. 122462 |
Gelebart A H, Jan Mulder D, Varga M, Konya A, Vantomme G, Meijer E W, Selinger R L B and Broer D J 2017 Making waves in a photoactive polymer film Nature 546632-6 |
Seyedkanani A and Akbarzadeh A 2022 Magnetically assisted rotationally multistable metamaterials for tunable energy trapping-dissipation Adv. Funct. Mater. 322207581 |
Tan X J, Chen S, Wang B, Zhu S W, Wu L Z and Sun Y G 2019 Design, fabrication, and characterization of multistable mechanical metamaterials for trapping energy Extreme Mech. Lett. 288-21 |
Melancon D, Gorissen B, García-Mora C J, Hoberman C and Bertoldi K 2021 Multistable inflatable origami structures at the metre scale Nature 592545-50 |
Korpas L M, Yin R, Yasuda H and Raney J R 2021 Temperature-responsive multistable metamaterials ACS Appl. Mater. Interfaces 1331163-70 |
Follador M, Conn A T and Rossiter J 2015 Bistable minimum energy structures (BiMES) for binary robotics Smart Mater. Struct. 24065037 |
Faber J A, Arrieta A F and Studart A R 2018 Bioinspired spring origami Science 3591386-91 |
Novelino L S, Ze Q, Wu S, Paulino G H and Zhao R K 2020 Untethered control of functional origami microrobots with distributed actuation Proc. Natl Acad. Sci. USA 11724096-101 |
Treml B, Gillman A, Buskohl P and Vaia R 2018 Origami mechanologic Proc. Natl Acad. Sci. USA 1156916-21 |
Vangelatos Z, Gu G X and Grigoropoulos C P 2019 Architected metamaterials with tailored 3D buckling mechanisms at the microscale Extreme Mech. Lett. 33100580 |
Jennings A T, Burek M J and Greer J R 2010 Microstructure versus size:mechanical properties of electroplated single crystalline Cu nanopillars Phys. Rev. Lett. 104135503 |
Greer J R, Oliver W C and Nix W D 2005 Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients Acta Mater. 531821-30 |
Banerjee A et al 2018 Ultralarge elastic deformation of nanoscale diamond Science 360300-2 |
Arzt E 1998 Size effects in materials due to microstructural and dimensional constraints:a comparative review Acta Mater. 465611-26 |
Gao H J, Ji B H, Jäger I L, Arzt E and Fratzl P 2003 Materials become insensitive to flaws at nanoscale:lessons from nature Proc. Natl Acad. Sci. USA 1005597-600 |
Rus D and Tolley M T 2015 Design, fabrication and control of soft robots Nature 521467-75 |
Rafsanjani A, Bertoldi K and Studart A R 2019 Programming soft robots with flexible mechanical metamaterials Sci. Robot. 4 eaav7874 |
Wang H B, Totaro M and Beccai L 2018 Toward perceptive soft robots:progress and challenges Adv. Sci. 51800541 |
Sachyani Keneth E, Kamyshny A, Totaro M, Beccai L and Magdassi S 20213D printing materials for soft robotics Adv. Mater. 332003387 |
Ze Q, Wu S, Dai J Z, Leanza S, Ikeda G, Yang P C, Iaccarino G and Zhao R R 2022 Spinning-enabled wireless amphibious origami millirobot Nat. Commun. 133118 |
Wang Y Z, Gupta U, Parulekar N and Zhu J 2019 A soft gripper of fast speed and low energy consumption Sci. China Technol. Sci. 6231-38 |
Chen T, Bilal O R, Shea K and Daraio C 2018 Harnessing bistability for directional propulsion of soft, untethered robots Proc. Natl Acad. Sci. USA 1155698-702 |
Wang J X, Gao D C and Lee P S 2021 Recent progress in artificial muscles for interactive soft robotics Adv. Mater. 332003088 |
Wu M X, Zheng X W, Liu R S, Hou N Z, Afridi W H, Afridi R H, Guo X, Wu J N, Wang C and Xie G M 2022 Glowing sucker octopus (Stauroteuthis syrtensis)-inspired soft robotic gripper for underwater self-adaptive grasping and sensing Adv. Sci. 92104382 |
Theis T N and Horn P M 2003 Basic research in the information technology industry Phys. Today 5644-49 |
Kam H, Liu T-J K, Stojanovi´c V, Markovi´c D and Alon E 2011 Design, optimization, and scaling of MEM relays for ultra-low-power digital logic IEEE Trans. Electron Devices 58236-50 |
Yan W Z, Li S G, Deguchi M, Zheng Z L, Rus D and Mehta A 2023 Origami-based integration of robots that sense, decide, and respond Nat. Commun. 141553 |
Yasuda H, Johnson K, Arroyos V, Yamaguchi K, Raney J R and Yang J 2022 Leaf-like origami with bistability for self-adaptive grasping motions Soft Robot. 9938-47 |
Yasuda H, Buskohl P R, Gillman A, Murphey T D, Stepney S, Vaia R A and Raney J R 2021 Mechanical computing Nature 59839-48 |
Pagano A, Yan T X, Chien B, Wissa A and Tawfick S 2017 A crawling robot driven by multi-stable origami Smart Mater. Struct. 26094007 |
El Helou C, Grossmann B, Tabor C E, Buskohl P R and Harne R L 2022 Mechanical integrated circuit materials Nature 608699-703 |
Reid S R 1993 Plastic deformation mechanisms in axially compressed metal tubes used as impact energy absorbers Int. J. Mech. Sci. 351035-52 |
Tattersall H G and Tappin G 1966 The work of fracture and its measurement in metals, ceramics and other materials J. Mater. Sci. 1296-301 |
Dixit P M and Dixit U S 2015 Plasticity:Fundamentals and Applications (CRC Press) pp 1-40 |
Li Q Q, Li E, Chen T, Wu L, Wang G Q and He Z C 2021 Improve the frontal crashworthiness of vehicle through the design of front rail Thin Walled Struct. 162107588 |
Sun S J, Li H Y, Zhu C H, Mei K H, Jiang H, Sun Y M and Huang H Z 2021 Study on the anti-collision performance of basalt fiber reinforced polymer beam-column guardrail Compos. Struct. 276114588 |
Xie M W 2021 Discussion on the design and performance of the whole packaging box of environmentally friendly packaging materials Adv. Mater. Sci. Eng. 20214779965 |
Liang X D, Fu H B and Crosby A J 2022 Phase-transforming metamaterial with magnetic interactions Proc. Natl Acad. Sci. USA 119 e2118161119 |
Qin Q H, Chen S J, Li K K, Jiang M Q, Cui T N and Zhang J X 2020 Structural impact damage of metal honeycomb sandwich plates Compos. Struct. 252112719 |
Zhang J X and Guo H Y 2022 Large deflection of rectangular sandwich tubes with metal foam core Compos. Struct. 293115745 |
Li X, Yahya M Y, Nia A B, Wang Z H, Yang J L and Lu G X 2017 Dynamic failure of basalt/epoxy laminates under blast-experimental observation Int. J. Impact Eng. 10216-26 |
Cherkaev A and Leelavanichkul S 2012 An impact protective structure with bistable links Int. J. Damage Mech. 21697-711 |
Zareei A, Deng B L and Bertoldi K 2020 Harnessing transition waves to realize deployable structures Proc. Natl Acad. Sci. USA 1174015-20 |
Yasuda H, Korpas L M and Raney J R 2020 Transition waves and formation of domain walls in multistable mechanical metamaterials Phys. Rev. Appl. 13054067 |
Nadkarni N, Arrieta A F, Chong C, Kochmann D M and Daraio C 2016 Unidirectional transition waves in bistable lattices Phys. Rev. Lett. 116244501 |
Shen C, Xie Y B, Li J F, Cummer S A and Jing Y 2016 Asymmetric acoustic transmission through near-zero-index and gradient-index metasurfaces Appl. Phys. Lett. 108223502 |
Su X S and Norris A N 2016 Focusing, refraction, and asymmetric transmission of elastic waves in solid metamaterials with aligned parallel gaps J. Acoust. Soc. Am. 1393386-94 |
Lu Z C and Norris A N 2020 Non-reciprocal wave transmission in a bilinear spring-mass system J. Vib. Acoust. 142021006 |
Zhang X, Ma J Y, Li M Y, You Z, Wang X Y, Luo Y, Ma K X and Chen Y 2022 Kirigami-based metastructures with programmable multistability Proc. Natl Acad. Sci. USA 119 e2117649119 |
Tan X J, Chen S, Wang B, Tang J, Wang L C, Zhu S W, Yao K L and Xu P F 2020 Real-time tunable negative stiffness mechanical metamaterial Extreme Mech. Lett. 41100990 |
Benichou I and Givli S 2020 Force-sensitive metamaterials for vibration mitigation and mechanical protection Extreme Mech. Lett. 40100932 |
Yang N, Chen C-W, Yang J and Silverberg J L 2020 Emergent reconfigurable mechanical metamaterial tessellations with an exponentially large number of discrete configurations Mater. Des. 196109143 |
Peretz O, Ben Abu E, Zigelman A, Givli S and Gat A D 2022 A metafluid with multistable density and internal energy states Nat. Commun. 131810 |
Wang L-C, Song W-L, Zhang Y-J, Qu M-J, Zhao Z A, Chen M J, Yang Y Z, Chen H S and Fang D N 2020 Active reconfigurable tristable square-twist origami Adv. Funct. Mater. 301909087 |
Cecchini L, Mariani S, Ronzan M, Mondini A, Pugno N M and Mazzolai B 20234D printing of humidity-driven seed inspired soft robots Adv. Sci. 102205146 |
Wu L L, Liu L, Wang Y, Zhai Z R, Zhuang H L, Krishnaraju D, Wang Q X and Jiang H Q 2020 A machine learning-based method to design modular metamaterials Extreme Mech. Lett. 36100657 |
Van Mastrigt R, Dijkstra M, Van Hecke M and Coulais C 2022 Machine learning of implicit combinatorial rules in mechanical metamaterials Phys. Rev. Lett. 129198003 |
Liu F, Jiang X H, Wang X T and Wang L F 2020 Machine learning-based design and optimization of curved beams for multistable structures and metamaterials Extreme Mech. Lett. 41101002 |
Pal A and Sitti M 2023 Programmable mechanical devices through magnetically tunable bistable elements Proc. Natl Acad. Sci. USA 120 e2212489120 |
Preston D J, Rothemund P, Jiang H J, Nemitz M P, Rawson J, Suo Z G and Whitesides G M 2019 Digital logic for soft devices Proc. Natl Acad. Sci. USA 1167750-9 |
Yang T, Zhou S X, Fang S T, Qin W Y and Inman D J 2021 Nonlinear vibration energy harvesting and vibration suppression technologies:designs, analysis, and applications Appl. Phys. Rev. 8031317 |