435
Views
43
CrossRef citations to date
0
Altmetric
Original Articles

Multiscale modelling and simulation of the deformation and adhesion of a single gecko seta

Pages 627-640 | Received 15 Dec 2008, Accepted 06 Feb 2009, Published online: 24 Mar 2009

References

  • Aksak , B , Murphy , MP and Sitti , M . 2007 . Adhesion of biologically inspired vertical and angled polymer microfiber arrays . Langmuir , 23 : 3322 – 3332 .
  • Autumn , K and Peattie , AM . 2002 . Mechanisms of adhesion in geckos . Integr Comp Biol , 42 : 1081 – 1090 .
  • Autumn , K , Dittmore , A , Santos , D , Spenko , M and Cutkosky , M . 2006a . Frictional adhesion: a new angle on gecko attachment . J Exp Biol , 209 : 3569 – 3579 .
  • Autumn , K , Liang , YA , Hsieh , ST , Zesch , W , Kenny , WPCTW , Fearing , R and Full , RJ . 2000 . Adhesive force of a single gecko foot-hair . Nature , 405 : 681 – 684 .
  • Autumn , K , Majidi , C , Groff , RE , Dittmore , A and Fearing , R . 2006b . Effective elastic modulus of isolated gecko setal arrays . J Exp Biol , 209 : 3558 – 3568 .
  • Autumn , K , Sitti , M , Liang , YA , Peattie , A , Hansen , M , Sponberg , WR , Kenny , S , Fearing , TW , Israelachvili , J and Full , RJ . 2002 . Evidence for van der Waals adhesion in gecko seta . Proc Natl Acad Sci USA , 99 ( 19 ) : 12252 – 12256 .
  • Belytschko , T , Liu , WK and Moran , B . 2000 . Nonlinear finite elements for continua and structures , New York (NY) : Wiley .
  • Berengueres , J , Saito , S and Tadakuma , K . 2007 . Structural properties of a scaled gecko foot-hair . Bioinsp Biomim , 2 : 1 – 8 .
  • Bhushan , B , Peressadko , AG and Kim , T-W . 2006 . Adhesion analysis of two-level hierarchical morphology in natural attachment systems for ‘smart adhesion’ . J Adhes Sci Technol , 20 ( 13 ) : 1475 – 1491 .
  • Campolo , D , Jones , S and Fearing , RS . Fabrication of gecko foot-hair like nano structures and adhesion to random rough surfaces . pp. 856 – 859 . Proceedings of the Third IEEE Conference on Nanotechnology
  • Demmel , JW . 1997 . Applied numerical linear algebra , Philadelphia (PA) : SIAM .
  • Gao , H , Wang , X , Yao , H , Gorb , S and Arzt , E . 2005 . Mechanics of hierarchical adhesion structures of geckos . Mech Mater , 37 : 275 – 285 .
  • Ge , L , Sethi , S , Ci , L , Ajayan , PM and Dhinojwala , A . 2007 . Carbon nanotube-based synthetic gecko tapes . Proc Natl Acad Sci USA , 104 ( 26 ) : 10792 – 10795 .
  • Hansen , WR and Autumn , K . 2005 . Evidence for self-cleaning in gecko setae . Proc Natl Acad Sci USA , 102 ( 2 ) : 385 – 389 .
  • Huber , G , Mantz , H , Spolenak , R , Mecke , K , Jacobs , K , Gorb , SN and Arzt , E . 2005 . Evidence for capillarity contributions to gecko adhesion from single spatula nanomechanical measurements . Proc Natl Acad Sci USA , 102 ( 45 ) : 16293 – 16296 .
  • Israelachvili , JN . 1991 . Intermolecular and surface forces , 2nd ed , New York (NY) : Academic Press .
  • Kim , TW and Bhushan , B . 2007a . Adhesion analysis of multi-level hierarchical attachment systems contacting with a rough surface . J Adhes Sci , 21 ( 1 ) : 1 – 20 .
  • Kim , TW and Bhushan , B . 2007b . Effects of stiffness of multi-level hierarchical attachment system on adhesion enhancement . Ultramicroscopy , 107 : 902 – 912 .
  • Kim , TW and Bhushan , B . 2008 . The adhesion model considering capillarity for gecko attachment system . J R Soc Interf , 5 : 319 – 327 .
  • Kim , DS , Lee , HS , Lee , J , Kim , S , Lee , K-H , Moon , W and Kwon , TH . 2007 . Replication of high-aspect-ratio nanopillar array for biomimetic gecko foot-hair prototype by UV nano embossing with anodic aluminum oxide mold . Microsyst Technol , 13 : 601 – 606 .
  • Majidi , CS , Groff , RE and Fearing , RS . 2005 . Attachment of fiber array adhesive through side contact . J Appl Phys , 98 : 103521
  • Qu , L , Dai , L , Stone , M , Xia , Z and Wang , ZL . 2008 . Carbon nanotube arrays with strong shear binding-on and easy normal lifting-off . Science , 322 : 238 – 242 .
  • Rizzo , NW , Gardner , KH , Walls , DJ , Keiper-Hrynko , NM , Ganzke , TS and Hallahan , DL . 2006 . Characterization of the structure and composition of gecko adhesive setae . J R Soc Interf , 3 : 441 – 451 .
  • Sauer , RA . 2008 . A finite element seta model for studying gecko adhesion . Proc IMECE , 2008 : 67193
  • Sauer , RA and Li , S . 2007a . An atomic interaction-based continuum model for adhesive contact mechanics . Finite Elem Anal Des , 43 ( 5 ) : 384 – 396 .
  • Sauer , RA and Li , S . 2007b . An atomic interaction-based continuum model for computational multiscale contact mechanics . Proc Appl Math Mech , 7 : 4080029 – 4080030 .
  • Sauer , RA and Li , S . 2007c . A contact mechanics model for quasi-continua . Int J Numer Meth Eng , 71 ( 8 ) : 931 – 962 .
  • Sauer , RA and Li , S . 2008 . An atomistically enriched continuum model for nanoscale contact mechanics and its application to contact scaling . J Nanosci Nanotechnol , 8 ( 7 ) : 3757 – 3773 .
  • Sauer , RA . 2008 [in press] . An atomic interaction-based rod formulation for modeling gecko adhesion . Proc Appl Math Mech , 8
  • Shah , GJ and Sitti , M . Modeling and design of biomimetic adhesives inspired by gecko foot-hairs . pp. 873 – 878 . Proceedings of the IEEE International Conference on Robotics and Biomimetics
  • Simo , JC . 1985 . A finite strain beam formulation. The three-dimensional dynamic problem. Part I . Comp Meth Appl Mech Eng , 49 : 55 – 70 .
  • Simo , JC and Vu-Quoc , L . 1986 . A three-dimensional finite strain rod model. Part II: computational aspects . Comp Meth Appl Mech Eng , 58 : 79 – 116 .
  • Sitti , M and Fearing , RS . 2003 . Synthetic gecko foot-hair micro/nano-structures as dry adhesives . J Adhes Sci Technol , 18 ( 7 ) : 1055 – 1074 .
  • Sun , W , Neuzil , P , Kustandi , TS , Oh , S and Samper , D . 2005 . The nature of the gecko lizard adhesive force . Biophys J , 89 ( 2 ) : L14 – L17 .
  • Takahashi , K , Berengueres , JOL , Obata , KJ and Saito , S . 2006 . Geckos' foot hair structure and their ability to hang from rough surfaces and move quickly . Int J Adhes Adhes , 26 : 639 – 643 .
  • Tian , Y , Pesika , N , Zeng , H , Rosenberg , K , Zhao , B , McGuiggan , P , Autumn , K and Israelachvili , J . 2006 . Adhesion and friction in gecko toe attachment and detachment . Proc Natl Acad Sci USA , 103 ( 51 ) : 19320 – 19325 .
  • Wriggers , P . 2008 . Nonlinear finite element methods , Berlin, Germany : Springer .
  • Yao , H and Gao , H . 2006 . Mechanics of robust and releasable adhesion in biology: bottom–up designed hierarchical structures of gecko . J Mech Phys Solids , 54 : 1120 – 1146 .
  • Yurdumakan , B , Raravikar , NR , Ajayan , PM and Dhinojwala , A . 2005 . Synthetic gecko foot-hairs from multiwalled carbon nanotubes . Chem Commun , 30 : 3799 – 3801 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.