Abstract
Biological surfaces covered with micro- and nanostructures, oriented at some angle to the plain may cause strong mechanical anisotropy. Some of them also exhibit pronounced flexibility due to the material of the supporting layer or due to flexible connecting joints. Flexible systems have a wide range of functions including the transport of particles in insect cleaning devices and the propulsion generation during slithering locomotion of snakes. In this chapter, we study the dependence of the anisotropic friction on the slope of the structures, rigidity of their joints, and sliding speed. A system of this kind is the snake skin consisting of stiff scales embedded in a flexible supporting layer. Additionally, there is also microstructure with strongly anisotropic orientation on these scales, which provides frictional anisotropy of the skin. The main function of such hierarchical anisotropic structures is to generate low sliding friction in the forward sliding direction, and high propulsive force along the substrate. Snakes are also able to dynamically adapt their friction interactions by redistributing their local pressures and changing their winding angles, when either friction anisotropy is suppressed by the low friction substrate, or when the external force displacing snake overcomes friction resistance on inclines. In order to understand these biotribology problems, we develop a set of corresponding numerical models.
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References
Abdel-Aal HA (2018) Surface structure and tribology of legless squamate reptiles. J Mech Behav Biomed Mater 79:354–398
Abdel-Aal HA, Vargiolu R, Zahouani H, El Mansori M (2012) Preliminary investigation of the frictional response of reptilian shed skin. Wear 290–291:51–60
Alben S (2013) Optimizing snake locomotion in the plane. Proc R Soc A 469:20130236
Austin AD, Browning TO (1981) A mechanism for movement of eggs along insect ovipositors. Int J Insect Morphol Embryol 10:93–108
Autumn K, Liang YA, Hsieh ST, Zesch W, Chan WP, Kenny TW, Fearing R, Full RJ (2000) Adhesive force of a single gecko foot-hair. Nature 405:681–685
Bauer G, Klein MC, Gorb SN, Speck T, Voigt D, Gallenmüller F (2010) Always on the bright side: the climbing mechanism of Galium aparine. Proc R Soc B 278:2233–2239
Baum MJ, Heepe L, Gorb SN (2014a) Friction behavior of a microstructured polymer surface inspired by snake skin. Beilstein J Nanotechnol 5:83–97
Baum MJ, Kovalev AK, Michels J, Gorb SN (2014b) Anisotropic friction of the ventral scales in the snake Lampropeltis getula californiae. Tribol Lett 54:139–150
Benz MJ, Kovalev AE, Gorb SN (2012) Anisotropic frictional properties in snakes. In: Lakhtakia A, Martín-Palma RJ (eds) Bioinspiration, biomimetics, and bioreplication, Proc SPIE 8339, p 11
Berthé R, Westhoff G, Bleckmann H, Gorb SN (2009) Surface structure and frictional properties of the skin of the Amazon tree boa Corallus hortulanus (Squamata, Boidae). J Comp Physiol A 195:311–318
Bohn HF, Federle W (2004) Insect aquaplaning: Nepenthes pitcher plants capture prey with the peristome, a fully wettable water-lubricated anisotropic surface. Proc Natl Acad Sci U S A 101:14138–14143
Bowden FP, Tabor D (1986) The friction and lubrication of solids. Clarendon Press, Oxford
Chiasson RB, Lowe CH (1989) Ultrastructural scale patterns in Nerodia and Thamnophis. J Herpetol 23:109–118
Clemente CJ, Dirks J-H, Barbero DR, Steiner U, Federle W (2009) Friction ridges in cockroach climbing pads: anisotropy of shear stress measured on transparent, microstructured substrates. J Comp Physiol A 195:805–814
Conde-Boytel R, Erickson EH, Carlson SD (1989) Scanning electron microscopy of the honeybee, Apis mellifera L. (Hymenoptera: Apidae) pretarsus. Int J Insect Morphol Embryol 18:59–69
Dashman T (1953) The unguitractor plate as a taxonomic tool in the Hemiptera. Ann Entomol Soc Am 46:561–578
Elbaum R, Zaltzman L, Burgert I, Fratzl P (2007) The role of wheat awns in the seed dispersal unit. Science 316:884–886
Filippov AE, Gorb SN (2013) Frictional-anisotropy-based systems in biology: structural diversity and numerical model. Sci Rep 3:1240
Filippov AE, Gorb SN (2016) Modelling of the frictional behaviour of the snake skin covered by anisotropic surface nanostructures. Sci Rep 6:23539
Filippov AE, Popov V (2008) Directed molecular transport in an oscillating channel with randomness. Phys Rev E 77:N211114
Filippov AE, Westhoff G, Kovalev A, Gorb SN (2018) Numerical model of the slithering snake locomotion based on the friction anisotropy of the ventral skin. Tribol Lett 66:119
Fleishman D, Filippov AE, Urbakh M (2004) Directed molecular transport in an oscillating symmetric channel. Phys Rev E 69:011908
Gans C (1984) Slide-pushing: a transitional locomotor method of elongate squamates. Symp Zool Soc Lond 52:12–26
Goel SC (1972) Notes on the structure of the unguitractor plate in Heteroptera (Hemiptera). J Entomol 46:167–173
Gorb SN (1996) Design of insect unguitractor apparatus. J Morphol 230:219–230
Gorb SN (2001) Attachment devices of insect cuticle. Kluwer Academic Publishers
Gorb EV, Gorb SN (2002) Contact separation force of the fruit burrs in four plant species adapted to dispersal by mechanical interlocking. Plant Physiol Biochem 40:373–381
Gorb EV, Gorb SN (2009) Functional surfaces in the pitcher of the carnivorous plant Nepenthes alata: a cryo-SEM approach. In: Gorb SN (ed) Functional surfaces in biology: adhesion related systems, vol 2, pp 205–238
Gorb EV, Gorb SN (2011) The effect of surface anisotropy in the slippery zone of Nepenthes alata pitchers on beetle attachment. Beilstein J Nanotechnol 2:302–310
Gorb SN, Scherge M (2000) Biological microtribology: anisotropy in frictional forces of orthopteran attachment pads reflects the ultrastructure of a highly deformable material. Proc R Soc Lond B 267:1239–1244
Gorb SN, Sinha M, Peressadko A, Daltorio KA, Quinn RD (2007) Insects did it first: a micropatterned adhesive tape for robotic applications. Bioinspir Biomim 2:S117–S125
Gower DJ (2003) Scale microornamentation of uropeltid snakes. J Morphol 258:249–268
Greiner C, Schäfer M (2015) Bio-inspired scale-like surface textures and their tribological properties. Bioinspir Biomim 10:044001
Hazel J, Stone M, Grace MS, Tsukruk VV (1999) Nanoscale design of snake skin for reptation locomotions via friction anisotropy. J Biomech 32:477–484
Hoge AR, Santos PS (1953) Submicroscopic structure of “stratum corneum” of snakes. Science 118:410–411
Hu DL, Nirody J, Scott T, Shelley MJ (2009) The mechanics of slithering locomotion. Proc Natl Acad Sci U S A 106:10081–10085
Huber G, Gorb SN, Spolenak R, Arzt E (2005) Resolving the nanoscale adhesion of individual gecko spatulae by atomic force microscopy. Biol Lett 1:2–4
Irish FJ, Williams EE, Seling E (1988) Scanning electron microscopy of changes in epidermal structure occurring during the shedding cycle in squamate reptiles. J Morphol 197:105–126
Jayne BC (1986) Kinematics of terrestrial snake locomotion. Copeia 22:915–927
Klein M-CG, Deuschle JK, Gorb SN (2010) Material properties of the skin of the Kenyan sandboa Gongylophis colubrinus (Squamata, Boidae). J Comp Physiol A 196:659–668
Liley M (1998) Friction anisotropy and asymmetry of a compliant monolayer induced by a small molecular tilt. Science 280:273–275
Maderson PFA (1972) When? Why? And how? Some speculations on the evolution of vertebrate integument. Am Zool 12:159–171
Manoonpong P, Gorb S, Heepe, L (2017) Exploiting frictional anisotropy from a scale-like material for energy-efficient robot locomotion. ISBE Newsletter 6:9–10
Marvi H, Hu DL (2012) Friction enhancement in concertina locomotion of snakes. J R Soc Interface 9:3067–3080
Mickoleit G (1973) Über den Ovipositor der Neuropteroidea und Coleoptera und seine phylogenetische Bedeutung (Insecta, Holometabola). Z Morphol Tiere 74:37–64
Mühlberger M, Rohn M, Danzberger J, Sonntag E, Rank A, Schumm L, Kirchner R, Forsich C, Gorb SN, Einwögerer B, Trappl E, Heim D, Schift H, Bergmair I (2015) UV-NIL fabricated bio-inspired inlays for injection molding to influence the friction behavior of ceramic surfaces. Microelectron Eng 141:140–144
Müller HJ (1941) Über Bau und Funktion des Legeapparates der Zikaden (Homoptera Cicadina). Z Morphol Ökol Tiere 38:534–629
Murphy MP, Aksak B, Sitti M (2007) Adhesion and anisotropic friction enhancements of angled heterogeneous micro-fiber arrays with spherical and spatula tips. J Adhes Sci Technol 21:1281–1296
Nachtigall W (1974) Biological mechanisms of attachment. Springer, Berlin/Heidelberg/New York
Niederegger S, Gorb SN (2006) Friction and adhesion in the tarsal and metatarsal scopulae of spiders. J Comp Physiol A 192:1223–1232
Niitsuma K, Miyagawa S, Osaki S (2005) Mechanical anisotropy in cobra skin is related to body movement. Eur J Morphol 42:193–200
Picado C (1931) Epidermal microornaments of the crotalinae. Bull Antivenin Inst Am 4:104–105
Price RM (1982) Dorsal snake scale microdermatoglyphics: ecological indicator or taxonimical tool? J Herpetol 16:294–306
Price RM, Kelly P (1989) Microdermatoglyphics: basal patterns and transition zones. J Herpetol 23:244–261
Reif W-E, Dinkelacker A (1982) Hydrodynamics of the squamation in fast swimming sharks. Neues Jahrb Geol Paläontol 164:184–187
Renous S, Gasc JP, Diop A (1985) Microstructure of the tegumentary surface of the Squamata (Reptilia) in relation to their spatial position and their locomotion. Fortschr Zool 30:487–489
Roth-Nebelsick A, Ebner M, Miranda T, Gottschalk V, Voigt D, Gorb S, Stegmaier T, Sarsour J, Linke M, Konrad W (2012) Leaf surface structures enable the endemic Namib desert grass Stipagrostis sabulicola to irrigate itself with fog water. J R Soc Interface 9:1965–1974
Scherge M, Gorb SN (2001) Biological micro- and nanotribology. Springer, Berlin
Schmidt CV, Gorb SN (2012) Snake scale microstructure: phylogenetic significance and functional adaptations, Zoologica. Schweizerbart Science Publisher, Stuttgart
Schönitzer K (1986) Comparative morphology of the antenna cleaner in bees (Apoidea). Z Zool Syst Evolutionsforsch 24:35–51
Schönitzer K, Lawitzky G (1987) A phylogenetic study of the antenna cleaner in Formicidae, Mutillidae and Tiphiidae (Insecta, Hymenoptera). Zoomorphology 107:273–285
Schönitzer K, Penner M (1984) The function of the antenna cleaner of the honeybee (Apis mellifica). Apidologie 15:23–32
Seifert P, Heinzeller T (1989) Mechanical, sensory and glandular structures in the tarsal unguitractor apparatus of Chironomus riparius (Diptera, Chironomidae). Zoomorphology 109:71–78
Smith EL (1972) Biosystematics and morphology of symphyta. 3 External genitalia of Euura. Int J Insect Morphol Embryol 1:321–365
Tramsen HT, Gorb SN, Zhang H, Manoonpong P, Dai Z, Heepe L (2018) Inversion of friction anisotropy in a bio-inspired asymmetrically structured surface. J R Soc Interface 15:1–7
Wang X, Osborne MT, Alben S (2014) Optimizing snake locomotion on an inclined plane. Phys Rev E 89:012717
Zheng Y, Gao X, Jiang L (2007) Directional adhesion of superhydrophobic butterfly wings. Soft Matter 3:178–182
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Filippov, A.E., Gorb, S.N. (2020). Anisotropic Friction in Biological Systems. In: Combined Discrete and Continual Approaches in Biological Modelling . Biologically-Inspired Systems, vol 16. Springer, Cham. https://doi.org/10.1007/978-3-030-41528-0_5
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