Buckling-induced smart applications: recent advances and trends

A paradigm shift has emerged over the last decade pointing to an exciting research area dealing with the harnessing of elastic structural instabilities for ‘smart’ purposes in a variety of venues. Among the different types of unstable responses, buckling is a phenomenon that has been known for centuries, and yet it is generally avoided through special design modifications. Increasing interest in the design of smart devices and mechanical systems has identified buckling and postbuckling response as a favorable behavior. The objective of this topical review is to showcase the recent advances in buckling-induced smart applications and to explain why buckling responses have certain advantages and are especially suitable for these particular applications. Interesting prototypes in terms of structural forms and material uses associated with these applications are summarized. Finally, this review identifies potential research avenues and emerging trends for using buckling and other elastic instabilities for future innovations.

[1]  Kyu-Jin Cho,et al.  Flytrap-inspired robot using structurally integrated actuation based on bistability and a developable surface , 2014, Bioinspiration & biomimetics.

[2]  Liang Dong,et al.  Advanced damper with high stiffness and high hysteresis damping based on negative structural stiffness , 2013 .

[3]  Q S Wang,et al.  ACTIVE BUCKLING CONTROL OF BEAMS USING PIEZOELECTRIC ACTUATORS AND STRAIN GAUGE SENSORS , 2010 .

[4]  Maurizio Porfiri,et al.  Fabrication and buckling analysis of ionic polymer metal composite pipes , 2013 .

[5]  G. Hunt,et al.  Twist buckling and the foldable cylinder: an exercise in origami , 2005 .

[6]  Liying Jiang,et al.  Electromechanical response and failure modes of a dielectric elastomer tube actuator with boundary constraints , 2014 .

[7]  Martha A. Grover,et al.  Shape Selection and Multi-stability in Helical Ribbons , 2013, 1312.3571.

[8]  Ole Sigmund,et al.  Toward the topology design of mechanisms that exhibit snap-through behavior , 2004 .

[9]  T. E. Bruns,et al.  Numerical methods for the topology optimization of structures that exhibit snap‐through , 2002 .

[10]  Simon D. Guest,et al.  Bistable composite slit tubes II: a shell model , 2004 .

[11]  David R. Clarke,et al.  Spontaneous and deterministic three-dimensional curling of pre-strained elastomeric bi-strips , 2012 .

[12]  Zhigang Suo,et al.  Extension limit, polarization saturation, and snap-through instability of dielectric elastomers , 2011 .

[13]  Sun Yong Kim,et al.  Optimal damping layout in a shell structure using topology optimization , 2013 .

[14]  Elizabeth R. Chen,et al.  Harnessing Multiple Folding Mechanisms in Soft Periodic Structures for Tunable Control of Elastic Waves , 2014 .

[15]  Yin Zhang,et al.  Analytical method of predicating the instabilities of a micro arch-shaped beam under electrostatic loading , 2010 .

[16]  Xianmin Zhang,et al.  A new level set method for topology optimization of distributed compliant mechanisms , 2012 .

[17]  Nizar Lajnef,et al.  Tailoring the elastic postbuckling response of thin-walled cylindrical composite shells under axial compression , 2014 .

[18]  I. Anderson,et al.  Soft generators using dielectric elastomers , 2011 .

[19]  Maurizio Porfiri,et al.  Energy harvesting from fluid-induced buckling of ionic polymer metal composites , 2014 .

[20]  Dung-An Wang,et al.  A quadristable compliant mechanism with a bistable structure embedded in a surrounding beam structure , 2011 .

[21]  Liyong Tong,et al.  Shape morphing of laminated composite structures with photostrictive actuators via topology optimization , 2011 .

[22]  Louis van Blarigan,et al.  A broadband vibrational energy harvester , 2012 .

[23]  M. Porfiri,et al.  Review of modeling electrostatically actuated microelectromechanical systems , 2007 .

[24]  E. Ramm,et al.  Large deformations and stability in topology optimization , 2005 .

[25]  Jerome P. Lynch,et al.  A summary review of wireless sensors and sensor networks for structural health monitoring , 2006 .

[26]  Rastko Sknepnek,et al.  Planar sheets meet negative-curvature liquid interfaces , 2012, 1204.5237.

[27]  Charis J. Gantes,et al.  Geometric design of arbitrarily curved bi-stable deployable arches with discrete joint size , 2004 .

[28]  Nizar Lajnef,et al.  A concept for energy harvesting from quasi-static structural deformations through axially loaded bilaterally constrained columns with multiple bifurcation points , 2014 .

[29]  Richard L. Weaver,et al.  Observation of a snap-through instability in graphene , 2012 .

[30]  Junhua Qiang,et al.  A model for conditional polarization of the actuation enhancement of a dielectric elastomer , 2012 .

[31]  Ken Higuchi,et al.  Unexpected behavior of a flexible solar array at retraction under microgravity , 2002 .

[32]  Lothar Kroll,et al.  Design of multistable composites for application in adaptive structures , 2002 .

[33]  Han Yan,et al.  Electrostatic pull-in instability in MEMS/NEMS: A review , 2014 .

[34]  Martin Leary,et al.  A review of shape memory alloy research, applications and opportunities , 2014 .

[35]  Michael I. Friswell,et al.  Dynamic control of a bistable wing under aerodynamic loading , 2013 .

[36]  P. Weaver,et al.  On the thermally induced bistability of composite cylindrical shells for morphing structures , 2012 .

[37]  David J. Wagg,et al.  A nonlinear spring mechanism incorporating a bistable composite plate for vibration isolation , 2013 .

[38]  Javier Monreal,et al.  Snap-through buckling behavior of piezoelectric bimorph beams: II. Experimental verification , 2007 .

[39]  Sujoy Mukherjee,et al.  Nonlinear dynamic analysis of dragonfly-inspired piezoelectric unimorph actuated flapping and twisting wing , 2012 .

[40]  D. Misseroni,et al.  Instability of a penetrating blade , 2014 .

[41]  Paul M. Weaver,et al.  A concept for the generation of out-of-plane distortion from tailored FRP laminates , 2004 .

[42]  M K Ramasubramanian,et al.  Mechanics of a mosquito bite with applications to microneedle design , 2007, Bioinspiration & biomimetics.

[43]  Elena Villa,et al.  The high potential of shape memory alloys in developing miniature mechanical devices: A review on shape memory alloy mini-actuators , 2010 .

[44]  Ji Hwan Kim,et al.  Thermal post-buckling and snap-through instabilities of FGM panels in hypersonic flows , 2013 .

[45]  Jun Fu,et al.  Instability/collapse of polymeric materials and their structures in stimulus-induced shape/surface morphology switching , 2014 .

[46]  D. Blair,et al.  Mathematical analysis of an Euler spring vibration isolator , 2002 .

[47]  Andres F. Arrieta,et al.  Variable stiffness material and structural concepts for morphing applications , 2013 .

[48]  H. A. Kim,et al.  Modelling of piezoelectrically actuated bistable composites , 2011 .

[49]  G. Nurick,et al.  The Energy-Absorbing Characteristics of Tubular Structures With Geometric and Material Modifications: An Overview , 2008 .

[50]  Antonio Frisoli,et al.  Modeling and experimental validation of buckling dielectric elastomer actuators , 2012 .

[51]  Raouf A. Ibrahim,et al.  Recent advances in nonlinear passive vibration isolators , 2008 .

[52]  Paulo B. Gonçalves,et al.  Dynamic non-linear behavior and stability of a ventricular assist device , 2003 .

[53]  Xuanhe Zhao,et al.  Electromechanical instability on dielectric polymer surface: Modeling and experiment , 2013 .

[54]  Chiara Bisagni,et al.  Post-buckling and collapse experiments of stiffened composite cylindrical shells subjected to axial loading and torque , 2006 .

[55]  J. Thompson,et al.  Experiments on snap buckling, hysteresis and loop formation in twisted rods , 2005 .

[56]  Paul M. Weaver,et al.  Bistable hybrid symmetric laminates , 2014 .

[57]  Jinsong Leng,et al.  Thermo-electro-mechanical instability of dielectric elastomers , 2011 .

[58]  J Lienhard,et al.  Flectofin: a hingeless flapping mechanism inspired by nature , 2011, Bioinspiration & biomimetics.

[59]  K. Maute,et al.  A Computational Design Methodology for Assembly and Actuation of Thin-Film Structures via Patterning of Eigenstrains , 2009, Journal of Microelectromechanical Systems.

[60]  K. Bertoldi,et al.  Mechanically triggered transformations of phononic band gaps in periodic elastomeric structures , 2008 .

[61]  C. Keplinger,et al.  Harnessing snap-through instability in soft dielectrics to achieve giant voltage-triggered deformation , 2012 .

[62]  Thomas A. Berfield,et al.  A bi-stable buckled energy harvesting device actuated via torque arms , 2014 .

[63]  Paul M. Weaver,et al.  Bistable prestressed buckled laminates , 2008 .

[64]  Paul M. Weaver,et al.  Bio-inspired structural bistability employing elastomeric origami for morphing applications , 2014 .

[65]  Stephen Daynes,et al.  Morphing structures using soft polymers for active deployment , 2013 .

[66]  E. Sharon,et al.  Shaping of Elastic Sheets by Prescription of Non-Euclidean Metrics , 2007, Science.

[67]  Zhao Zhang,et al.  Snap-Through Instability of Graphene on Substrates , 2009, Nanoscale research letters.

[68]  Daniel J. Inman,et al.  Optimal configurations of bistable piezo-composites for energy harvesting , 2012 .

[69]  Alfred Brian Pippard,et al.  The elastic arch and its modes of instability , 1990 .

[70]  Henry A. Sodano,et al.  A review of power harvesting using piezoelectric materials (2003–2006) , 2007 .

[71]  Zhong You,et al.  Threefold-symmetric Bricard linkages for deployable structures , 2005 .

[72]  Howon Lee,et al.  Solvent-driven polymeric micro beam device , 2010 .

[73]  Bret Stanford,et al.  Aerothermoelastic topology optimization with flutter and buckling metrics , 2013 .

[74]  R. Kupferman,et al.  Geometry and Mechanics in the Opening of Chiral Seed Pods , 2011, Science.

[75]  Chee Yee Kwok,et al.  Thermo-mechanical behavior of buckled multi-layered micro-bridges , 2007 .

[76]  Werner Hufenbach,et al.  Actor-initiated snap-through of unsymmetric composites with multiple deformation states , 2006 .

[77]  Huajian Gao,et al.  Mechanics of morphological instabilities and surface wrinkling in soft materials: a review , 2012 .

[78]  Yang Zhu,et al.  Enhanced buckled-beam piezoelectric energy harvesting using midpoint magnetic force , 2013 .

[79]  Just L. Herder,et al.  Bistable vibration energy harvesters: A review , 2013 .

[80]  Adnan Harb,et al.  Energy harvesting: State-of-the-art , 2011 .

[81]  Wanliang Shan Mechanical Instability of Thin Elastic Rods , 2013 .

[82]  Brian L. Wardle,et al.  Nonlinear thermomechanical design of microfabricated thin plate devices in the post-buckling regime , 2010 .

[83]  Ryan L. Harne,et al.  A review of the recent research on vibration energy harvesting via bistable systems , 2013 .

[84]  Stephen M. Schultz,et al.  Plastic latching accelerometer based on bistable compliant mechanisms , 2007 .

[85]  D. Blair,et al.  High performance vibration isolation using springs in Euler column buckling mode , 2002 .

[86]  Subra Suresh Perspectives for the Inaugural Issue , 2014 .

[87]  W. Huang,et al.  Stimulus-responsive shape memory materials: A review , 2012 .

[88]  Jianliang Xiao,et al.  Graphene blisters with switchable shapes controlled by pressure and adhesion. , 2013, Nano letters.

[89]  Xing Chen,et al.  The influences of transverse loads on electrothermal post-buckling microbeams , 2012 .

[90]  Paul M. Weaver,et al.  Review of morphing concepts and materials for wind turbine blade applications , 2013 .

[91]  Guoyong Mao,et al.  Prestretch effect on snap-through instability of short-length tubular elastomeric balloons under inflation , 2014 .

[92]  Tarik Bourouina,et al.  Bistable electromagnetic generator based on buckled beams for vibration energy harvesting , 2014 .

[93]  Zhao Zhang,et al.  Graphene morphology regulated by nanowires patterned in parallel on a substrate surface , 2010 .

[94]  Brian R. Mace,et al.  On the performance of a dual-mode non-linear vibration energy harvesting device , 2012 .

[95]  John Vantomme,et al.  Snap-through buckling behavior of piezoelectric bimorph beams: I. Analytical and numerical modeling , 2007 .

[96]  Jongmin Shim,et al.  Buckling-induced encapsulation of structured elastic shells under pressure , 2012, Proceedings of the National Academy of Sciences.

[97]  Katia Bertoldi,et al.  Locally resonant band gaps in periodic beam lattices by tuning connectivity , 2015 .

[98]  Sung-hoon Ahn,et al.  A review on IPMC material as actuators and sensors: Fabrications, characteristics and applications , 2012 .

[99]  Nizar Lajnef,et al.  Passive temperature compensation in piezoelectric vibrators using shape memory alloy–induced axial loading , 2012 .

[100]  Yanju Liu,et al.  Shape-memory polymers and their composites: Stimulus methods and applications , 2011 .

[101]  Xuanhe Zhao,et al.  Harnessing large deformation and instabilities of soft dielectrics: Theory, experiment, and application , 2014 .

[102]  Paul M. Weaver,et al.  Stiffness tailoring using prestress in adaptive composite structures , 2013 .

[103]  Il-Kwon Oh,et al.  Snap-through dynamics of buckled IPMC actuator , 2010 .

[104]  Julia R. Greer,et al.  Buckling-driven delamination of carbon nanotube forests , 2013 .

[105]  Peter Hagedorn,et al.  Dynamic control for morphing of bi-stable composites , 2013 .

[106]  Akira Mita,et al.  A smart sensor using a mechanical memory for structural health monitoring of a damage-controlled building , 2003 .

[107]  Paul M. Weaver,et al.  Analysis of morphing, multi stable structures actuated by piezoelectric patches , 2008 .

[108]  Abhijit Mukherjee,et al.  Active control of dynamic instability of piezolaminated imperfect columns , 2002 .

[109]  Emílio Carlos Nelli Silva,et al.  Design of laminated piezocomposite shell transducers with arbitrary fiber orientation using topology optimization approach , 2012 .

[110]  Edwin L. Fasanella,et al.  Simulating the Response of a Composite Honeycomb Energy Absorber. I: Dynamic Crushing of Components and Multiterrain Impacts , 2014 .

[111]  Xin Lan,et al.  Post microbuckling mechanics of fibre-reinforced shape-memory polymers undergoing flexure deformation , 2014 .

[112]  Sergio Pellegrino,et al.  Bistable prestressed shell structures , 2004 .

[113]  Mitsuru Kitamura,et al.  Geometrical design of thermoelectric generators based on topology optimization , 2012 .

[114]  Paul M. Weaver,et al.  Multi-stable cylindrical lattices , 2013 .

[115]  Gyungsoo Kang,et al.  Note: analysis of the efficiency of a dielectric elastomer generator for energy harvesting. , 2011, The Review of scientific instruments.

[116]  Herzl Chai,et al.  The post-buckling response of a bi-laterally constrained column , 1998 .

[117]  Marco Ferrari,et al.  Piezoelectric buckled beams for random vibration energy harvesting , 2012 .

[118]  Niels Olhoff,et al.  Topology optimization of continuum structures: A review* , 2001 .

[119]  Mojtaba Yazdani,et al.  The Effects of Helical Ribs’ Number and Grid Types on the Buckling of Thin-walled GFRP-stiffened Shells under Axial Loading , 2010 .

[120]  Z. Suo Theory of dielectric elastomers , 2010 .

[121]  Rongshun Chen,et al.  The derivation of a bistable criterion for double V-beam mechanisms , 2013 .

[122]  Keith A. Seffen,et al.  Magnetic actuation and transition shapes of a bistable spherical cap , 2014 .

[123]  L. Mahadevan,et al.  How the Venus flytrap snaps , 2005, Nature.

[124]  K. Bertoldi,et al.  Negative Poisson's Ratio Behavior Induced by an Elastic Instability , 2010, Advanced materials.

[125]  S. Pellegrino,et al.  Equilibrium paths of mechanical systems with unilateral constraints II. Deployable reflector , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[126]  Wing Kam Liu,et al.  A level set approach for optimal design of smart energy harvesters , 2010 .

[127]  J. Dunkel,et al.  Curvature-induced symmetry breaking determines elastic surface patterns. , 2015, Nature materials.

[128]  S D Guest,et al.  Deployable membranes designed from folding tree leaves , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[129]  Michael I. Friswell,et al.  Analysis of energy harvesters for highway bridges , 2011 .

[130]  Katia Bertoldi,et al.  Modeling of dielectric elastomers: Design of actuators and energy harvesting devices , 2013 .

[131]  Hao Li,et al.  A multi-stable lattice structure and its snap-through behavior among multiple states , 2013 .

[132]  Paul M. Weaver,et al.  Review of shape-morphing automobile structures: concepts and outlook , 2013 .

[133]  Katia Bertoldi,et al.  Combining pattern instability and shape-memory hysteresis for phononic switching. , 2009, Nano letters.

[134]  Jan Kierfeld,et al.  Secondary polygonal instability of buckled spherical shells , 2014, 1403.3202.

[135]  P B da Costa Teixeira,et al.  Mechanical behavior and stability of the internal membrane of the InCor ventricular assist device. , 2001, Artificial organs.

[136]  Alejandro R. Diaz,et al.  A Concept for a Material That Softens With Frequency , 2007, DAC 2007.

[137]  S. Nishiwaki,et al.  Shape design of pin-jointed multistable compliant mechanisms using snapthrough behavior , 2005 .

[138]  K. V. Avramov,et al.  Snap-Through Truss as a Vibration Absorber , 2004 .

[139]  Derek E. Moulton,et al.  Dynamics of snapping beams and jumping poppers , 2013, 1310.3703.

[140]  Sylvia Daunert,et al.  Responsive membranes and materials , 2012 .

[141]  Ichiro Ario,et al.  Structural stability of multi-folding structures with contact problem , 2009 .

[142]  M. Friswell,et al.  A review on shape memory alloys with applications to morphing aircraft , 2014 .

[143]  Shantanu Chakrabartty,et al.  Self-Powered Piezo-Floating-Gate Smart-Gauges Based on Quasi-Static Mechanical Energy Concentrators and Triggers , 2015, IEEE Sensors Journal.

[144]  N. Scott Barker,et al.  Analysis and design of kinked (bent) beam sensors , 2007 .

[145]  H. Stone,et al.  Buckling of dielectric elastomeric plates for soft, electrically active microfluidic pumps. , 2014, Soft matter.

[146]  S. Hurlebaus,et al.  Seismic Response Control Using Shape Memory Alloys: A Review , 2011 .

[147]  Colin R. McInnes,et al.  Reconfiguring smart structures using phase space connections , 2008 .

[148]  Yaowen Yang,et al.  Vibration energy harvesting using macro-fiber composites , 2009 .

[149]  Michael J. Brennan,et al.  Static analysis of a passive vibration isolator with quasi-zero-stiffness characteristic , 2007 .

[150]  Patrick J. French,et al.  Characterizing size-dependent effective elastic modulus of silicon nanocantilevers using electrostatic pull-in instability , 2009 .

[151]  A. Takezawa,et al.  Design methodology of piezoelectric energy-harvesting skin using topology optimization , 2014 .

[152]  Shaoxing Qu,et al.  Energy harvesting of dielectric elastomer generators concerning inhomogeneous fields and viscoelastic deformation , 2012 .

[153]  Sergio Pellegrino,et al.  Analytical models for bistable cylindrical shells , 2006, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[154]  Charles R. Farrar,et al.  Energy Harvesting for Structural Health Monitoring Sensor Networks , 2008 .

[155]  Hirohisa Noguchi,et al.  Homologous topology optimization in large displacement and buckling problems , 2001 .

[156]  Alfred J. Crosby,et al.  Why should we care about buckling , 2010 .

[157]  T. Skotnicki,et al.  Semi-flexible bimetal-based thermal energy harvesters , 2013, 1301.6472.

[158]  Chiara Bisagni,et al.  An experimental investigation into the buckling and post-buckling of CFRP shells under combined axial and torsion loading , 2003 .

[159]  Xin Li,et al.  Energy harvesting using a circular cylindrical shell laminated with a segmented piezoelectric layer , 2010, Proceedings of the 2010 Symposium on Piezoelectricity, Acoustic Waves and Device Applications.

[160]  P. Reis,et al.  Soft Actuation of Structured Cylinders through Auxetic Behavior , 2015 .

[161]  I. Ario,et al.  Non-linear dynamic behaviour of multi-folding microstructure systems based on origami skill , 2010 .

[162]  Paul M. Weaver,et al.  Pseudo-bistable self-actuated domes for morphing applications , 2012 .

[163]  Matthew L. Smith,et al.  Contactless, photoinitiated snap-through in azobenzene-functionalized polymers , 2013, Proceedings of the National Academy of Sciences.

[164]  Christian D. Santangelo,et al.  The shape and mechanics of curved-fold origami structures , 2012, 1210.0778.

[165]  Michael C. Constantinou,et al.  Adaptive Negative Stiffness: New Structural Modification Approach for Seismic Protection , 2013 .

[166]  Paul M. Weaver,et al.  Multi-mode morphing using initially curved composite plates , 2014 .

[167]  Alex Elvin,et al.  Feasibility of structural monitoring with vibration powered sensors , 2006 .

[168]  István Hegedűs,et al.  On the snap-back behavior of a self-deploying antiprismatic column during packing , 2013 .

[169]  Slava Krylov,et al.  Bistability of curved microbeams actuated by fringing electrostatic fields , 2011 .

[170]  Boštjan Harl,et al.  Efficient handling of stability problems in shell optimization by asymmetric 'worst-case' shape imperfection , 2008 .

[171]  Christian D. Santangelo,et al.  Buckling thin disks and ribbons with non-Euclidean metrics , 2008, 0808.0909.

[172]  Sunjung Kim,et al.  Piezoelectric control of columns prone to instabilities and nonlinear modal interaction , 2008 .

[173]  Roderic S. Lakes,et al.  Column dampers with negative stiffness: high damping at small amplitude , 2013 .

[174]  Paul M. Weaver,et al.  A non-linear stiffness composite twisting I-beam , 2014 .

[175]  Youwei Du,et al.  Martensitic transformation and related magnetic effects in Ni—Mn-based ferromagnetic shape memory alloys , 2013 .

[176]  Christopher R. Bowen,et al.  Piezoelectric and ferroelectric materials and structures for energy harvesting applications , 2014 .

[177]  U. Breuer,et al.  Performance range of SMA actuator wires and SMA–FRP structure in terms of manufacturing, modeling and actuation , 2013 .

[178]  Emílio Carlos Nelli Silva,et al.  Topology optimization of smart structures: design of piezoelectric plate and shell actuators , 2005 .

[179]  Ramana V. Grandhi,et al.  A survey of structural and multidisciplinary continuum topology optimization: post 2000 , 2014 .

[180]  Valeria La Saponara,et al.  Design and development of hybrid composite bistable structures for energy absorption under quasi-static tensile loading , 2010 .

[181]  Paul M. Weaver,et al.  Non-axisymmetric bending of thin annular plates due to circumferentially distributed moments , 2014 .

[182]  Miguel Pineirua,et al.  Spooling and disordered packing of elastic rods in cylindrical cavities , 2013 .

[183]  Jinsong Leng,et al.  Theory progress and applications of dielectric elastomers , 2013 .

[184]  Haluk E. Karaca,et al.  Energy harvesting using martensite variant reorientation mechanism in a NiMnGa magnetic shape memory alloy , 2007 .

[185]  Dimitris A. Saravanos,et al.  Nonlinear coupled mechanics and initial buckling of composite plates with piezoelectric actuators and sensors , 2002 .

[186]  Hossein Khalilpasha,et al.  Textured deep subsea pipelines , 2013 .

[187]  Niclas Lindvall,et al.  Determination of the bending rigidity of graphene via electrostatic actuation of buckled membranes. , 2012, Nano letters.

[188]  Fabrizio Scarpa,et al.  Flatwise buckling optimization of hexachiral and tetrachiral honeycombs , 2010 .

[189]  Jan G. Korvink,et al.  Structural optimization of a large-displacement electromagnetic Lorentz force microactuator for optical switching applications , 2004 .

[190]  Jie Yin,et al.  Buckling patterns of thin films on curved compliant substrates with applications to morphogenesis and three-dimensional micro-fabrication , 2010 .

[191]  Jean-Pierre Raskin,et al.  Overcurvature describes the buckling and folding of rings from curved origami to foldable tents , 2012, Nature Communications.

[192]  Michael C. Constantinou,et al.  Negative stiffness device for seismic protection of structures: An analytical and experimental study , 2011 .

[193]  Keith A. Seffen,et al.  Multistable corrugated shells , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[194]  Jinsong Leng,et al.  Electroactive Polymer Soft Material Based on Dielectric Elastomer , 2012 .

[195]  Sébastien Neukirch,et al.  Elastocapillary snapping: capillarity induces snap-through instabilities in small elastic beams. , 2013, Physical review letters.

[196]  Zhi Ang Eu,et al.  Wireless sensor networks powered by ambient energy harvesting (WSN-HEAP) - Survey and challenges , 2009, 2009 1st International Conference on Wireless Communication, Vehicular Technology, Information Theory and Aerospace & Electronic Systems Technology.

[197]  Paul M. Weaver,et al.  Tristability of an orthotropic doubly curved shell , 2013 .

[198]  Stefano Vidoli,et al.  Distributed piezoelectric actuation of a bistable buckled beam , 2007 .

[199]  Hyo Jik Lee,et al.  A numerical analysis of the buckling and postbuckling behavior of laminated composite shells with embedded shape memory alloy wire actuators , 2000 .

[200]  Jaehwan Kim,et al.  A review of piezoelectric energy harvesting based on vibration , 2011 .

[201]  M. Bendsøe,et al.  Topology Optimization: "Theory, Methods, And Applications" , 2011 .

[202]  Jan Błachut,et al.  Experimental Perspective on the Buckling of Pressure Vessel Components , 2014 .

[203]  Adnan Ibrahimbegovic,et al.  Overview of Highly Flexible, Deployable Lattice Structures Used in Architecture and Civil Engineering Undergoing Large Displacements , 2013 .

[204]  Dimitris C. Lagoudas,et al.  Active flexible rods with embedded SMA fibers , 1992 .

[205]  Ying Zhang,et al.  One-Step Nanoscale Assembly of Complex Structures via Harnessing of an Elastic Instability. , 2008, Nano letters.

[206]  Othman Sidek,et al.  A review of vibration-based MEMS piezoelectric energy harvesters , 2011 .

[207]  Stefano Vidoli,et al.  Tristability of thin orthotropic shells with uniform initial curvature , 2008, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.