Abstract
Controlling the lubricated sliding friction of compliant contacts is important for many mechanical and biological systems. Multiphase materials have been shown to exhibit varied lubricated friction responses when compared to controls of just one phase of the material. In this work, we describe a structured two-phase material composed of a plastic mesh embedded in a compliant elastomer matrix. This embedded mesh structure (EMS) exhibits increased lubricated sliding friction for a number of load, velocity, and lubricant viscosity conditions. The observed friction enhancement appears to be a result of the EMS sample transitioning to the mixed lubrication regime under conditions in which the control is in the elastohydrodynamic lubrication regime. Simulations suggest that the difference in lubrication regimes for the EMS sample compared to the unstructured control comes from areas of high contact pressure induced by the increased local contact stiffness of the material near the embedded mesh. We hypothesize that these areas of high pressure can lead to the destabilization of lubricant films under conditions where the control films are stable, leading to the difference in lubrication regime behaviors observed.
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References
Manning, D.P., Jones, C., Rowland, F.J., Roff, M.: The surface roughness of a rubber soling material determines the coefficient of friction on water-lubricated surfaces. J. Saf. Res. 29(4), 275–283 (1998)
Li, K.W., Chen, C.J.: The effect of shoe soling tread groove width on the coefficient of friction with different sole materials, floors, and contaminants. Appl. Ergon. 35(6), 499–507 (2004)
Harrin, E.: Low tire friction and cornering forces on a wet surface. Wear 2(6), 492 (1959)
Sabey, B.E., Lupton, G.N.: Friction on wet surfaces of tire-tread-type vulcanizates. Rubber Chem. Technol. 37(4), 878–893 (1964)
Grosch, K.A., Schallamach, A.: Tire friction on wet roads. Rubber Chem. Technol. 49(3), 862–908 (1976)
Klüppel, M., Bomal, Y., Le Gal, A., Guy, L., Orange, G.: Modelling of sliding friction for carbon black and silica filled elastomers on road tracks. Wear 264(7–8), 606–615 (2007)
Wang, Y.X., Ma, J.H., Zhang, L.Q., Wu, Y.P.: Revisiting the correlations between wet skid resistance and viscoelasticity of rubber composites via comparing carbon black and silica fillers. Polym. Test. 30(5), 557–562 (2011)
Wang, Y.X., Wu, Y.P., Li, W.J., Zhang, L.Q.: Influence of filler type on wet skid resistance of SSBR/BR composites: effects from roughness and micro-hardness of rubber surface. Appl. Surf. Sci. 257(6), 2058–2065 (2011)
Muller, H.K.: Fluid Sealing Technology: Principles and Applications. Routledge, London (1998)
Jin, Z.M., Dowson, D.: Elastohydrodynamic lubrication in biological systems. Proc. Inst. Mech. Eng. J 219(5), 367–380 (2005)
Sawyer, W.G., Dunn, A.C., Tichy, J.A., Uruen, J.M.: Lubrication regimes in contact lens wear during a blink. Tribol. Int. 63, 45–50 (2013)
Adams, M.J., Briscoe, B.J., Johnson, S.A.: Friction and lubrication of human skin. Tribol. Lett. 26(3), 239–253 (2007)
Malone, M.E., Appelqvist, I.A.M., Norton, I.T.: Oral behaviour of food hydrocolloids and emulsions. Part 1. Lubrication and deposition considerations. Food Hydrocoll. 17(6), 763–773 (2003)
Moyle, N., Wu, H., Khripin, C., Bremond, F., Hui, C.-Y., Jagota, A.: Enhancement of elastohydrodynamic friction by elastic hysteresis in a periodic structure. Soft Matter 16, 1627–1635 (2020)
Cameron, A.: Basic Lubrication Theory. E. Horwood, Chichester (1976)
Dowson, D., Higginson, G.R., Archard, J.F., Crook, A.W.: Elasto-Hydrodynamic Lubrication. Pergamon Press, Oxford (1977)
Persson, B.N.J.: Sliding Friction, Physical Principles and Applications. Springer-Verlag, Berlin (2000)
Martz, B.L.S.: Preliminary report of developments in interrupted surface finishes. Proc. Inst. Mech. Eng. 16(1), 1–9 (1947)
Okrent, E.H.: The effect of lubricant viscosity and composition on engine friction and bearing wear. ASLE Trans. 4(1), 97–108 (1961)
Tzeng, S.T., Saibel, E.: Surface roughness effect on slider bearing lubrication. ASLE Trans. 10(3), 334–348 (1967)
McGeehan, J.A.: A literature review of the effects of piston and ring friction and lubricating oil viscosity on fuel economy. SAE Trans. 87, 2619–2638 (1978)
Persson, B.N.J., Scaraggi, M.: On the transition from boundary lubrication to hydrodynamic lubrication in soft contacts. J. Phys. Condens. Matter 21(18), 185002 (2009)
Skotheim, J.M., Mahadevan, L.: Soft lubrication. Phys. Rev. Lett. (2004). https://doi.org/10.1103/PhysRevLett.92.245509
Skotheim, J.M., Mahadevan, L.: Soft lubrication: the elastohydrodynamics of nonconforming and conforming contacts. Phys. Fluids 17(9), 1–23 (2005)
Scaraggi, M., Carbone, G., Persson, B.N.J., Dini, D.: Lubrication in soft rough contacts: a novel homogenized approach. Part I—theory. Soft Matter 7(21), 10395–10406 (2011)
Pandey, A., Karpitschka, S., Venner, C.H., Snoeijer, J.H.: Lubrication of soft viscoelastic solids. J. Fluid Mech. 799, 433–447 (2016)
De Vicente, J., Stokes, J.R., Spikes, H.A.: The frictional properties of Newtonian fluids in rolling—sliding soft-EHL contact. Tribol. Lett. 20(3–4), 273–286 (2005)
Bongaerts, J.H.H., Fourtouni, K., Stokes, J.R.: Soft-tribology: lubrication in a compliant PDMS-PDMS contact. Tribol. Int. 40(10–12), 1531–1542 (2007)
Scaraggi, M., Carbone, G., Dini, D.: Experimental evidence of micro-EHL lubrication in rough soft contacts. Tribol. Lett. 43(2), 169–174 (2011)
Kim, J.M., Wolf, F., Baier, S.K.: Effect of varying mixing ratio of PDMS on the consistency of the soft-contact Stribeck curve for glycerol solutions. Tribol. Int. 89, 46–53 (2015)
Stupkiewicz, S., Lengiewicz, J., Sadowski, P., Kucharski, S.: Finite deformation effects in soft elastohydrodynamic lubrication problems. Tribol. Int. 93, 511–522 (2016)
Selway, N., Chan, V., Stokes, J.R.: Influence of fluid viscosity and wetting on multiscale viscoelastic lubrication in soft tribological contacts. Soft Matter 13(8), 1702–1715 (2017)
Sadowski, P., Stupkiewicz, S.: Friction in lubricated soft-on-hard, hard-on-soft and soft-on-soft sliding contacts. Tribol. Int. 129, 246–256 (2019)
Tan, G., Wang, D., Liu, S., Wang, H., Zhang, S.: Frictional behaviors of rough soft contact on wet and dry pipeline surfaces: with application to deepwater pipelaying. Sci. China Technol. Sci. 56(12), 3024–3032 (2013)
Deleau, F., Mazuyer, D., Koenen, A.: Sliding friction at elastomer/glass contact: influence of the wetting conditions and instability analysis. Tribol. Int. 42(1), 149–159 (2009)
Pan, X.D.: Wet sliding friction of elastomer compounds on a rough surface under varied lubrication conditions. Wear 262(5–6), 707–717 (2007)
Pan, X.: Contribution of fine filler particles to energy dissipation during wet sliding of elastomer compounds on a rough surface. J. Phys. D 40(15), 4657–4667 (2007)
Gropper, D., Wang, L., Harvey, T.J.: hydrodynamic lubrication of textured surfaces: a review of modeling techniques and key findings. Tribol. Int. 94, 509–529 (2016)
Varenberg, M., Gorb, S.N.: Hexagonal surface micropattern for dry and wet friction. Adv. Mater. 21(4), 483–486 (2009)
Peng, Y., Serfass, C.M., Hill, C.N., Hsiao, L.C.: Bending of soft micropatterns in elastohydrodynamic lubrication tribology. Exp. Mech. 61(6), 969–979 (2021)
Peng, Y., Serfass, C.M., Kawazoe, A., Shao, Y., Gutierrez, K., Hill, C.N., Santos, V.J., Visell, Y., Hsiao, L.C.: Elastohydrodynamic friction of robotic and human fingers on soft micropatterned substrates. Nat. Mater. (2021). https://doi.org/10.1038/s41563-021-00990-9
Moyle, N., He, Z., Wu, H., Hui, C.Y., Jagota, A.: Indentation versus rolling: dependence of adhesion on contact geometry for biomimetic structures. Langmuir 34(13), 3827–3837 (2018)
He, Z., Moyle, N.M., Hui, C.Y., Levrard, B., Jagota, A.: Adhesion and friction enhancement of film-terminated structures against rough surfaces. Tribol. Lett. 65(4), 161 (2017)
Mengüç, Y., Sitti, M.: Gecko-inspired polymer adhesives. Polym. Adhes. Frict. Lubr. (2013). https://doi.org/10.1002/9781118505175.ch9
Murphy, M.P., Aksak, B., Sitti, M.: Adhesion and anisotropic friction enhancements of angled heterogeneous micro-fiber arrays with spherical and spatula tips. J. Adhes. Sci. Technol. 21(12), 1281–1296 (2007)
Reddy, S., Arzt, E., del Campo, A., Del Campo, A.: Bioinspired surfaces with switchable adhesion. Adv. Mater. 19(22), 3833–3837 (2007)
Liu, J., Hui, C.-Y., Jagota, A.: Effect of fibril arrangement on crack trapping in a film-terminated fibrillar interface. J. Polym. Sci. B 47(23), 2368–2384 (2009)
Jagota, A., Hui, C.Y.: Adhesion, friction, and compliance of bio-mimetic and bio-inspired structured interfaces. Mater. Sci. Eng. R 72(12), 253–292 (2011)
Snoeijer, J.H., Eggers, J., Venner, C.H.: Similarity theory of lubricated Hertzian contacts. Phys. Fluids (2013). https://doi.org/10.1063/1.4826981
Wu, H., Moyle, N., Jagota, A., Hui, C.-Y.: Lubricated steady sliding of a rigid sphere on a soft elastic substrate: hydrodynamic friction in the Hertz limit. Soft Matter 16, 2760–2773 (2020)
Johnson, K.L.: Contact Mechanics. Cambridge University Press, Cambridge (1985)
Acknowledgements
We thank Prof. Kelly Schultz for use of the rheometer to measure PDMS Young’s modulus.
Funding
We acknowledge support from the National Science Foundation through the Grant LEAP-HI: CMMI-1854572.
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Moyle, N., Dong, H., Wu, H. et al. Increased Sliding Friction of a Lubricated Soft Solid Using an Embedded Structure. Tribol Lett 70, 2 (2022). https://doi.org/10.1007/s11249-021-01540-9
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DOI: https://doi.org/10.1007/s11249-021-01540-9