Abstract
Tribological properties of femoro-tibial leg joints in two beetles, darkling beetle Zophobas morio and Congo rose chafer Pachnoda marginata were studied. Very low friction of 0.004 was revealed by the direct measurements in the joint. It is assumed that semi-solid lubricant functioning as in technical bearings is one of the leading factors of the friction minimization. Dependence of the surface texture and physical chemical properties (hydrophobicity) on the cuticle friction was analysed. Contribution of the surface texture to the tribological properties of contacting surfaces was examined by the measurement in the tribosystem “contacting surface/glass”. It is supposed that coefficient of friction (COF) decreases with decrease of surface roughness. At the same time, no statistically significant correlation was found between the hydrophobicity of the surface and the value of the friction coefficient.
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The data that support the findings of this study are available from the corresponding author upon reasonable request.
References
Chapman R F. The Insects: Structure and Function, 5th edn. New York: Cambridge University Press, 2013.
Hepburn H R. Structure of the integument. In: Comprehensive Insect Physiology, Rbiochemistry, and Pharmacology. Integument, Respiration, and Circulation, Vol. 3. Kerkut, G.A., Gilbert, L.I. Eds. Oxford (USA): Pergamon Press, 1985: 1–58.
Klowden M J. Physiological Systems in Insects, 2nd edn. Cambridge (USA): Academic Press, 2007.
Nation JL. Insect Physiology and Biochemistry, 3rd edn. Boca Raton: CRC Press, 2016.
Ritzmann R E, Gorb S, Quinn R D. Arthropod locomotion systems: From biological materials and systems to robotics. Arthropod Struct Dev 33(3): 183–185 (2004)
Webb B. From insects to robots. Arthropod Struct Dev 46(5): 687–688 (2017)
Greene G W, Lee D W, Yu J, Das S, Banquy X, Israelachvili J N. Lubrication and wear protection of natural (bio)systems In: Polymer Adhesion, Friction, and Lubrication, 1st edn. H. Zeng. Ed. New York: John Wiley & Sons, 2013: 83–133.
Fung Y C. Biomechanics: Mechanical Properties of Living Tissues, 2nd edn. Berlin (Germany): Springer-Verlag New York, Inc., 1993.
Nadein K, Kovalev A, Thøgersen J, Weidner T, Gorb S. Insects use lubricants to minimize friction and wear in leg joints. Proc Biol Sci 288(1954): 20211065 (2021)
Nadein K, Gorb S. Lubrication in the joints of insects (Arthropoda: Insecta). J Zool 316(1): 24–39 (2022)
Dai Z D, Gorb S N. Micro-structure and frictional characteristics of beetle’s joint. Sci China Ser G Phys Mech Astron 47(1): 99–106 (2004)
Barbakadze N, Enders S, Gorb S, Arzt E. Local mechanical properties of the head articulation cuticle in the beetle Pachnoda marginata (Coleoptera, Scarabaeidae). J Exp Biol 209(Pt 4): 722–730 (2006)
Barbakadze N, Enders S, Arzt E, Gorb S N. Friction properties of the head articulation in the beetle Pachnoda marginata (Coleoptera, Scarabaeidae). Biotribology 17: 30–39 (2019)
Dai Z D, Min Y, Gorb S N. Frictional characteristics of the beetle head-joint material. Wear 260(1–2): 168–174 (2006)
Vagts S, Schlattmann J, Kovalev A, Gorb S N. The topology of the leg joints of the beetle pachnoda marginata (Scarabaeidae, Cetoniinae) and its implication for the tribological properties. Biomimetics 3(2): 12 (2018)
Oh J K, Behmer S T, Marquess R, Scholar E A, Akbulut M. Investigation of mechanical properties of tibia and femur articulations of insect joints with different joint functions. MRS Commun 9(3): 900–903 (2019)
Kheireddin B A, Williams T C, Akbulut M. Tribological properties of femur–tibia articulation of lubber grasshopper. Tribol Int 50: 76–81 (2012)
Oh J K, Behmer S T, Marquess R, Yegin C, Scholar E A, Akbulut M. Structural, tribological, and mechanical properties of the hind leg joint of a jumping insect: Using katydids to inform bioinspired lubrication systems. Acta Biomater 62: 284–292 (2017)
Oh J K, Yegin C, Akbulut M. Micro/nanoscale tribological and mechanical investigation of the articular surfaces of katydid leg joints: Potential for the novel bioinspired lubrication systems. MRS Adv 2(19): 1117–1123 (2017)
Gorb S N. Functional surfaces in biology: Mechanisms and applications. In: Biomimetics—Biologically Inspired Technologies, Bar-Cohen Y Ed. Boca Raton (USA): Taylor and Francis Group, 2006: 381–397.
Vagts S, Schlattmann J, Kovalev A, Gorb S N. Structure and frictional properties of the leg joint of the beetle Pachnoda marginata (Scarabaeidae, Cetoniinae) as an inspiration for technical joints. Biomimetics 5(2): 14 (2020)
Filippov A E, Nadein K, Gorb S N, Kovalev A. Bio-bearings: Numerical model of the solid lubricant in the leg joints of insects. Tribol Lett 72(1): 11 (2024)
Filippov A E, Nadein K, Gorb S N, Kovalev A. Large-scale numerical simulation of the solid lubricant behavior in the leg joints of insects. Adv Theory Simul 7(6): 2301236 (2024)
Ma X L, Gan C L, Li X P, Li Y T, Feng P, Fan X Q, Ye X Y, Zhu M H. Tribological properties of SiO2@Cu and SiO2@MoS2 core–shell microspheres as lubricant additives. Tribol Lett 69(3): 108 (2021)
Nadein K, Gorb S. Smart joints: Auto-cleaning mechanism in the legs of beetles. Commun Biol 5: 1030 (2022)
Burrows M, Sutton G P. Locusts use a composite of resilin and hard cuticle as an energy store for jumping and kicking. J Exp Biol 215(Pt 19): 3501–3512 (2012)
Vincent J F V, Wegst U G K. Design and mechanical properties of insect cuticle. Arthropod Struct Dev 33(3): 187–199 (2004)
Li C C, Gorb S N, Rajabi H. Biomechanical strategies to reach a compromise between stiffness and flexibility in hind femora of desert locusts. Acta Biomater 134: 490–498 (2021)
Information on https://www.matweb.com/search/datasheet_print.aspx?matguid=4e0b2e88eeba4aaeb18e8820f1444cdb
Ebnesajjad S. Expanded PTFE Applications Handbook. Technology, Manufacturing and Applications. Oxford (UK): Elsevier, 2016.
Acknowledgements
This work was supported by the grants for Konstantin NADEIN from the German Research Foundation (DFG project “Functional design of beetle leg joints: morphology, tribology, and cuticular microstructure”, NA 126472-1 and DFG project “Arthropod leg joints as biological devices: design, mechanical properties and anti-friction mechanisms”, NA 1264/3-1). Stanislav N. GORB acknowledges the project support from the German Research Foundation (DFG GO 995/34-1 within the framework of the DFG SPP 2100 “Soft Material Robotic Systems”).
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Konstantin NADEIN, Alexander KOVALEV, and Stanislav N. GORB developed the scientific question and prepared the study design. Konstantin NADEIN carried out the experiments, calculations, and observations, and prepared the manuscript and figures. Alexander KOVALEV carried out calculations and figures. All the co-authors discussed the results and revised the manuscript.
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Konstantin NADEIN. His current position is a research scientist at the Department of Functional Morphology and Biomechanics at the University of Kiel, Germany. He received his B.S. and M.S. degrees in biology at the V.N. Karazin Kharkiv National University, Ukraine. He received his Ph.D. degree in zoology and entomology at the Zoological Institute of the Russian Academy of Sciences in Saint-Petersburg, Russia. NADEIN was a research scientist at the Institute of Zoology, Ukraine, an associate professor at the Institute of Ecology, Economics and Law, Ukraine, Humboldt research fellow at the Tübingen University, research scientist at the Senckenberg German Entomological Institute, Germany. NADEIN’s research focuses on the functional morphology and biomechanics of invertebrates, bioinspired locomotory systems, as well as taxonomy and paleontology of beetles. He received the Schmalhauzen Prize for young scientists in zoology in 2009 and Alexander von Humboldt research fellowship for experienced scientists in 2013. NADEIN has authored more than 40 papers in peer-reviewed journals.
Alexander KOVALEV. He received his Ph.D. degrees in mathematics and physics from the Institute of Theoretical and Experimental Biophysics of the Russian Academy of Science in Pushchino, Russia, in 2005. He was a postdoctoral researcher at the 3rd Institute of Physics, Stuttgart University, Germany and in the Max Plank Institute for the Complex Systems, Germany. He joined the Functional Morphology and Biomechanics department of the Institute of Zoology, Kiel University, Germany, in 2009. His current position is a department engineer. His research areas cover biomechanics of insects, other animals, and plants with focus on adhesion and friction phenomena. He has authored more than 170 scientific publications.
Stanislav GORB. He is a professor and director at the Zoological Institute of the Kiel University, Germany. He received his Ph.D. degree in zoology and entomology at the Schmalhausen Institute of Zoology of the Ukrainian Academy of Sciences in Kiev, Ukraine. GORB was a postdoctoral researcher at the University of Vienna, Austria, a research assistant at University of Jena, a group leader at the Max Planck Institutes for Developmental Biology in Tübingen and for Metals Research in Stuttgart, Germany. GORB’s research focuses on morphology, structure, biomechanics, physiology, and evolution of surface-related functional systems in animals and plants, as well as the development of biologically inspired technological surfaces and systems. He received the Schlossmann Award in Biology and Materials Science in 1995, International Forum Design Gold Award in 2011 and Materialica “Best of” Award in 2011. In 1998, he was the BioFuture Competition winner for his works on biological attachment devices as possible sources for biomimetics. In 2018, he received Karl-Ritter-von-Frisch Medal of German Zoological Society. GORB is Corresponding member of Academy of the Science and Literature Mainz, Germany (since 2010) and Member of the National Academy of Sciences Leopoldina, Germany (since 2011). GORB has authored several books, more than 500 papers in peer-reviewed journals, and five patents.
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Nadein, K., Kovalev, A. & Gorb, S.N. Tribological properties of the beetle leg joints. Friction (2024). https://doi.org/10.1007/s40544-024-0933-0
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DOI: https://doi.org/10.1007/s40544-024-0933-0