Journal Home > Volume 11 , Issue 9

This work investigates the friction between polydimethylsiloxane (PDMS) and silicon oxide (SiOx) in single asperity sliding contact by atomic force microscopy (AFM). Two friction dependences on the normal force are identified: a tensile regime and a compressive regime of normal forces. In the compressive regime, friction is governed by the shear deformation and rupture of junctions between PDMS and SiOx. In this case, the shear strength τ ≈ 10 MPa is comparable with the cohesive strength of PDMS under compressive loading. In contrast, friction in the tensile regime is also affected by the elongation of the junctions. The single SiOx-asperity follows a stick–slip motion on PDMS in both normal force regimes. Statistical analysis of stick–slip as a function of the normal force allows determining the necessary amount of energy to break a SiOx/PDMS junction. Friction between a SiOx-asperity and a PDMS surface can be rationalized based on an energy criterion for the deformation and slippage of nanometer-scale junctions.


menu
Abstract
Full text
Outline
About this article

Deformation- and rupture-controlled friction between PDMS and a nanometer-scale SiOx single-asperity

Show Author's information Arnaud CARON( )
School of Energy, Materials and Chemical Engineering, KoreaTech–Korea University of Technology and Education, Cheonan 31253, Republic of Korea

Abstract

This work investigates the friction between polydimethylsiloxane (PDMS) and silicon oxide (SiOx) in single asperity sliding contact by atomic force microscopy (AFM). Two friction dependences on the normal force are identified: a tensile regime and a compressive regime of normal forces. In the compressive regime, friction is governed by the shear deformation and rupture of junctions between PDMS and SiOx. In this case, the shear strength τ ≈ 10 MPa is comparable with the cohesive strength of PDMS under compressive loading. In contrast, friction in the tensile regime is also affected by the elongation of the junctions. The single SiOx-asperity follows a stick–slip motion on PDMS in both normal force regimes. Statistical analysis of stick–slip as a function of the normal force allows determining the necessary amount of energy to break a SiOx/PDMS junction. Friction between a SiOx-asperity and a PDMS surface can be rationalized based on an energy criterion for the deformation and slippage of nanometer-scale junctions.

Keywords: friction, adhesion, atomic force microscopy (AFM), fracture, polydimethylsiloxane (PDMS)

References(50)

[1]
Brace W F, Byerlee J D. Stick–slip as a mechanism for earthquakes. Science 153(3739): 990–992 (1966)
[2]
Rabinowicz E. The intrinsic variables affecting the stick–slip process. Proc Phys Soc 71(4): 668–675 (1958)
[3]
Lee D W, Banquy X, Israelachvili J N. Stick–slip friction and wear of articular joints. Proc Natl Acad Sci USA 110(7): E567–E574 (2013)
[4]
Byerlee J D. The mechanics of stick–slip. Tectonophysics 9(5): 475–486 (1970)
[5]
Popov V L, Gray J A T. Prandtl–Tomlinson model: History and applications in friction, plasticity, and nanotechnologies. Z Angew Math Mech 92(9): 683–708 (2012)
[6]
Grosch K A. The relation between the friction and visco–elastic properties of rubber. Proc R Soc Lond A 274(1356): 21–39 (1963)
[7]
Baumberger T, Caroli C. Solid friction from stick–slip down to pinning and aging. Adv Phys 55(3–4): 279–348 (2006)
[8]
Sills S, Vorvolakos K, Chaudhury M K, Overney R M. Molecular origins of elastomeric friction. In Fundamentals of Friction and Wear. Gnecco E, Meyer E, Eds. Berlin: Springer, 2007: 659–676.
DOI
[9]
Mergel J C, Sahli R, Scheibert J, Sauer R A. Continuum contact models for coupled adhesion and friction. J Adhesion 95(12): 1101–1133 (2019)
[10]
Yu J, Chary S, Das S, Tamelier J, Pesika N S, Turner K L, Israelachvili J N. Gecko-inspired dry adhesive for robotic applications. Adv Funct Mater 21(16): 3010–3018 (2011)
[11]
Penskiy I, Gerratt A P, Bergbreiter S. Friction, adhesion and wear properties of PDMS films on silicon sidewalls. J Micromech Microeng 21(10): 105013 (2011)
[12]
Viswanathan K, Sundaram N K, Chandrasekar S. Stick–slip at soft adhesive interfaces mediated by slow frictional waves. Soft Matter 12(24): 5265–5275 (2016)
[13]
Schallamach A. How does rubber slide? Wear 17(4): 301–312 (1971)
[14]
Barquins M, Courtel R. Rubber friction and the rheology of viscoelastic contact. Wear 32(2): 133–150 (1975)
[15]
Best B, Meijers P, Savkoor A R. The formation of schallamach waves. Wear 65(3): 385–396 (1981)
[16]
Koudine A A, Barquins M. Formation of micro-ridges on the surface of Schallamach waves propagating in the contact area between a moving rubber sample and a glass lens. J Adhesion Sci Technol 10(10): 951–961 (1996)
[17]
Barquins M. Sliding friction of rubber and Schallamach waves—A review. Mater Sci Eng 73: 45–63 (1985)
[18]
Maegawa S, Nakano K. Mechanism of stick-slip associated with Schallamach waves. Wear 268(7–8): 924–930 (2010)
[19]
Binnig G, Quate C F, Gerber C. Atomic force microscope. Phys Rev Lett 56(9): 930–933 (1986)
[20]
Mate C M, McClelland G M, Erlandsson R, Chiang S. Atomic-scale friction of a tungsten tip on a graphite surface. Phys Rev Lett 59(17): 1942–1945 (1987)
[21]
Meyer G, Amer N M. Simultaneous measurement of lateral and normal forces with an optical-beam-deflection atomic force microscope. Appl Phys Lett 57(20): 2089–2091 (1990)
[22]
Overney R, Meyer E. Tribological investigations using friction force microscopy. MRS Bull 18(5): 26–34 (1993)
[23]
Lüthi R, Meyer E, Howald L, Bammerlin M, Güntherodt H-J, Gyalog T, Thomas H. Friction force microscopy in ultrahigh vacuum: An atomic-scale study on KBr(001). Tribol Lett 1(2): 129–138 (1995)
[24]
Carpick R W, Dai Q, Ogletree D F, Salmeron M. Friction force microscopy investigations of potassium halide surfaces in ultrahigh vacuum: Structure, friction and surface modification. Tribol Lett 5(1): 91–102 (1998)
[25]
Ruan J A, Bhushan B. Atomic-scale and microscale friction studies of graphite and diamond using friction force microscopy. J Appl Phys 76(9): 5022–5035 (1994)
[26]
Colchero J. Palladium clusters on mica: A study by scanning force microscopy. J Vac Sci Technol B 9(2): 794 (1991)
[27]
Bennewitz R, Gyalog T, Guggisberg M, Bammerlin M, Meyer E, Güntherodt H J. Atomic-scale stick–slip processes on Cu (111). Phys Rev B 60(16): R11301–R11304 (1999)
[28]
Howald L, Lüthi R, Meyer E, Güntherodt H J. Atomic-force microscopy on the Si(111)7 × 7 surface. Phys Rev B 51(8): 5484–5487 (1995)
[29]
Zhang S, Yao Q, Chen L, Jiang C, Ma T, Wang H, Feng X Q, Li Q. Dual-scale stick–slip friction on graphene/h-BN moiré superlattice structure. Phys Rev Lett 128(22): 226101 (2022)
[30]
Gnecco E, Pedraz P, Nita P, Dinelli F, Napolitano S, Pingue P. Surface rippling induced by periodic instabilities on a polymer surface. New J Phys 17(3): 032001 (2015)
[31]
Mazo J J, Martínez P J, Pedraz P, Hennig J, Gnecco E. Plowing-induced structuring of compliant surfaces. Phys Rev Lett 122(25): 256101 (2019)
[32]
Hennig J, Litschko A, Mazo J J, Gnecco E. Nucleation and detachment of polystyrene nanoparticles from plowing-induced surface wrinkling. Appl Surf Sci Adv 6: 100148 (2021)
[33]
Hennig J, Feller V, Martínez P J, Mazo J J, Gnecco E. Locking effects in plowing-induced nanorippling of polystyrene surfaces. Appl Surf Sci 594: 153467 (2022)
[34]
Butt H J, Jaschke M. Calculation of thermal noise in atomic force microscopy. Nanotechnology 6(1): 1–7 (1995)
[35]
Nonnenmacher M. Scanning force microscopy with micromachined silicon sensors. J Vac Sci Technol B 9(2): 1358 (1991)
[36]
Mazo J J, Dietzel D, Schirmeisen A, Vilhena J G, Gnecco E. Time strengthening of crystal nanocontacts. Phys Rev Lett 118(24): 246101 (2017)
[37]
Johnson K L, Kendall K, Roberts A D. Surface energy and the contact of elastic solids. Proc R Soc Lond A 324(1558): 301–313 (1971)
[38]
Petrova D, Sharma D K, Vacha M, Bonn D, Brouwer A M, Weber B. Ageing of polymer frictional interfaces: The role of quantity and quality of contact. ACS Appl Mater Interfaces 12(8): 9890–9895 (2020)
[39]
Li Q Y, Tullis T E, Goldsby D, Carpick R W. Frictional ageing from interfacial bonding and the origins of rate and state friction. Nature 480(7376): 233–236 (2011)
[40]
Villette S, Valignat M P, Cazabat A M, Jullien L, Tiberg F. Wetting on the molecular scale and the role of water: A case study of wetting of hydrophilic silica surfaces. Langmuir 12(3): 825–830 (1996)
[41]
Bowden F P, Tabor D. The Friction and Lubrication of Solids. Oxford: Clarendon Press, 1950.
[42]
Israelachvili J N. Intermolecular and Surface Forces, 2nd ed. London (UK): Academic Press, 1994.
[43]
Johnston I D, McCluskey D K, Tan C L, Tracey M C. Mechanical characterization of bulk Sylgard 184 for microfluidics and microengineering. J Micromech Microeng 24(3): 035017 (2014)
[44]
Weber B, Suhina T, Junge T, Pastewka L, Brouwer A M, Bonn D. Molecular probes reveal deviations from Amontons' law in multi-asperity frictional contacts. Nat Commun 9(1): 888 (2018)
[45]
Müller A, Wapler M C, Wallrabe U. A quick and accurate method to determine the Poisson’s ratio and the coefficient of thermal expansion of PDMS. Soft Matter 15(4): 779–784 (2019)
[46]
Ko H E, Park H W, Jiang J Z, Caron A. Nanoscopic wear behavior of face centered cubic metals. Acta Mater 147: 203–212 (2018)
[47]
Kwon S K, Kim H D, Pei X Q, Ko H E, Park H W, Bennewitz R, Caron A. Effect of cooling rate on the structure and nanotribology of Ag–Cu nano-eutectic alloys. J Mater Sci 54(12): 9168–9184 (2019)
[48]
Oh Y C, Kwon S K, Minkow A, Park H W, Kim S H, Fecht H-J, Caron A. Effect of crystallographic orientation on the friction of copper and graphenized copper. J Mater Sci 55(34): 16432–16450 (2020)
[49]
Gotsmann B, Lantz M A. Atomistic wear in a single asperity sliding contact. Phys Rev Lett 101(12): 125501 (2008)
[50]
Kendall K. Crack propagation in lap shear joints. J Phys D: Appl Phys 8(5): 512–522 (1975)
Publication history
Copyright
Rights and permissions

Publication history

Received: 05 June 2022
Revised: 09 September 2022
Accepted: 23 January 2023
Published: 13 March 2023
Issue date: September 2023

Copyright

© The author(s) 2023.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.

The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.

To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

Return