Skip to main content
Top
Published in: Tribology Letters 4/2018

01-12-2018 | Original Paper

On the Use of Silicon Rubber Replica for Surface Topography Studies

Authors: J. S. Persson, A. Tiwari, E. Valbahs, T. V. Tolpekina, B. N. J. Persson

Published in: Tribology Letters | Issue 4/2018

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Silicone rubber is often used to obtain replica of surfaces which are hard to study directly. Here we discuss under what conditions engineering stylus measurements can be used to obtain the correct surface roughness from the replica. We also show how thin vertical slices of the silicone rubber can be used to obtain the surface roughness power spectra for the long-wavelength roughness on even very rough surfaces, such as road surfaces, which may be hard to probe directly with standard optical or stylus instruments.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Footnotes
1
The computer software was developed by E. Valbahs.
 
2
In Re. [32] aqueous solution with 1% Triton-X-100 or 1% sodium dodecyl sulfate was used to prevent adhesion between the tip and the (very soft) PDMS rubber (Sylgard 184, 1:50, with the Young’s modulus E ≈ 17 kPa)
 
3
Using FEM, Thang X. Duong and Roger A. Sauer have studied the deformations of an elastic block as a function of increasing tangential force, see https://​arxiv.​org/​abs/​1808.​10420 . They have produced an interesting movie illustrating the deformation field, see https://​doi.​org/​10.​5446/​37885
 
Literature
1.
go back to reference Persson, B.N.J.: Sliding Friction: Physical Principles and Applications. Springer, Heidelberg (2000)CrossRef Persson, B.N.J.: Sliding Friction: Physical Principles and Applications. Springer, Heidelberg (2000)CrossRef
2.
go back to reference Gnecco, E., Meyer, E.: Elements of Friction Theory and Nanotribology. Cambridge University Press, Cambridge (2015)CrossRef Gnecco, E., Meyer, E.: Elements of Friction Theory and Nanotribology. Cambridge University Press, Cambridge (2015)CrossRef
3.
go back to reference Israelachvili, J.N.: Intermolecular and Surface Forces, 3rd edn. Academic Press, London (2011) Israelachvili, J.N.: Intermolecular and Surface Forces, 3rd edn. Academic Press, London (2011)
4.
go back to reference Barber, J.R.: Contact Mechanics. Solid Mechanics and Its Applications. Springer, New York (2018)CrossRef Barber, J.R.: Contact Mechanics. Solid Mechanics and Its Applications. Springer, New York (2018)CrossRef
5.
go back to reference Persson, B.N.J.: Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61, 201–227 (2006)CrossRef Persson, B.N.J.: Contact mechanics for randomly rough surfaces. Surf. Sci. Rep. 61, 201–227 (2006)CrossRef
6.
go back to reference Persson, B.N.J.: Theory of rubber friction and contact mechanics. J. Chem. Phys. 115, 3840–3861 (2001)CrossRef Persson, B.N.J.: Theory of rubber friction and contact mechanics. J. Chem. Phys. 115, 3840–3861 (2001)CrossRef
7.
go back to reference Müser, M.H., Dapp, W.B., Bugnicourt, R., Sainsot, P., Lesaffre, N., Lubrecht, T.A., Persson, N.J., Harris, K., Bennett, A., Schulze, K., Rohde, S., Ifju, P., Sawyer, W.G., Angelini, T., Ashtari, E., Hossein, K., Mahmoud, A., Saleh, W., Jiunn-Jong, V., Georg, V., Andrs, S., Soheil, V., Antonis, I., Jackson, R.L., Xu, Y., Streator, J., Rostami, A., Dini, D., Medina, S., Carbone, G., Bottiglione, F., Afferrante, L., Monti, J., Pastewka, L., Robbins, M.O., Greenwood, J.A.: Meeting the contact-mechanics challenge. Tribol. Lett. 65, 118 (2017)CrossRef Müser, M.H., Dapp, W.B., Bugnicourt, R., Sainsot, P., Lesaffre, N., Lubrecht, T.A., Persson, N.J., Harris, K., Bennett, A., Schulze, K., Rohde, S., Ifju, P., Sawyer, W.G., Angelini, T., Ashtari, E., Hossein, K., Mahmoud, A., Saleh, W., Jiunn-Jong, V., Georg, V., Andrs, S., Soheil, V., Antonis, I., Jackson, R.L., Xu, Y., Streator, J., Rostami, A., Dini, D., Medina, S., Carbone, G., Bottiglione, F., Afferrante, L., Monti, J., Pastewka, L., Robbins, M.O., Greenwood, J.A.: Meeting the contact-mechanics challenge. Tribol. Lett. 65, 118 (2017)CrossRef
8.
go back to reference Vakis, A.I., Yastrebov, V.A., Scheibert, J., Minfray, C., Nicola, L., Dini, D., Almqvist, A., Paggi, M., Lee, S., Limbert, G., Molinari, J.F., Anciaux, G., Aghababaei, R., Echeverri Restrepo, S., Papangelo, A., Cammarata, A., Nicolini, P., Putignano, C., Carbone, G., Ciavarella, M., Stupkiewicz, S., Lengiewicz, J., Costagliola, G., Bosia, F., Guarino, R., Pugno, N.M., Müser, M.H.: Modeling and simulation in tribology across scales: an overview, Tribology International (TRIBINT-D-17-01694 - Accepted Manuscript) Vakis, A.I., Yastrebov, V.A., Scheibert, J., Minfray, C., Nicola, L., Dini, D., Almqvist, A., Paggi, M., Lee, S., Limbert, G., Molinari, J.F., Anciaux, G., Aghababaei, R., Echeverri Restrepo, S., Papangelo, A., Cammarata, A., Nicolini, P., Putignano, C., Carbone, G., Ciavarella, M., Stupkiewicz, S., Lengiewicz, J., Costagliola, G., Bosia, F., Guarino, R., Pugno, N.M., Müser, M.H.: Modeling and simulation in tribology across scales: an overview, Tribology International (TRIBINT-D-17-01694 - Accepted Manuscript)
9.
go back to reference Persson, B.N.J., Albohr, O., Tartaglino, U., Volokitin, A.I., Tosatti, E.: On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion. J. Phys. 17, R1 (2005) Persson, B.N.J., Albohr, O., Tartaglino, U., Volokitin, A.I., Tosatti, E.: On the nature of surface roughness with application to contact mechanics, sealing, rubber friction and adhesion. J. Phys. 17, R1 (2005)
10.
go back to reference Persson, B.N.J.: On the fractal dimension of rough surfaces. Tribol. Lett. 54, 99–106 (2014)CrossRef Persson, B.N.J.: On the fractal dimension of rough surfaces. Tribol. Lett. 54, 99–106 (2014)CrossRef
11.
go back to reference Jacobs, T.D.B., Junge, T., Pastewka, L.: Quantitative characterization of surface topography using spectral analysis. Surf. Topogr. 5, 013001 (2017)CrossRef Jacobs, T.D.B., Junge, T., Pastewka, L.: Quantitative characterization of surface topography using spectral analysis. Surf. Topogr. 5, 013001 (2017)CrossRef
12.
go back to reference Lorenz, B., Persson, B.N.J., Dieluweit, S., Tada, T.: Rubber friction: comparison of theory with experiment. Eur. Phys. J. E 34, 129 (2011)CrossRef Lorenz, B., Persson, B.N.J., Dieluweit, S., Tada, T.: Rubber friction: comparison of theory with experiment. Eur. Phys. J. E 34, 129 (2011)CrossRef
13.
go back to reference Church, E.L., Takacs, P.Z.: Effects of the nonvanishing tip size in mechanical profile measurements, Proceeding of the SPIE 1332, Optical Testing and Metrology III: Recent Advances in Optical Inspection, https://doi.org/10.1117/12.51099 (1991) Church, E.L., Takacs, P.Z.: Effects of the nonvanishing tip size in mechanical profile measurements, Proceeding of the SPIE 1332, Optical Testing and Metrology III: Recent Advances in Optical Inspection, https://​doi.​org/​10.​1117/​12.​51099 (1991)
14.
go back to reference Knoll, A.W.: Nanoscale contact-radius determination by spectral analysis of polymer roughness images. Langmuir 29, 13958–13966 (2013)CrossRef Knoll, A.W.: Nanoscale contact-radius determination by spectral analysis of polymer roughness images. Langmuir 29, 13958–13966 (2013)CrossRef
15.
go back to reference Nayak, P.R.: Random process model of rough surfaces. J. Lubr. Technol. 93, 398–407 (1971)CrossRef Nayak, P.R.: Random process model of rough surfaces. J. Lubr. Technol. 93, 398–407 (1971)CrossRef
16.
go back to reference Carbone, G., Lorenz, B., Persson, B.N.J., Wohlers, A.: Contact mechanics and rubber friction for randomly rough surfaces with anisotropic statistical properties. Eur. Phys. J. E 29, 275–284 (2009)CrossRef Carbone, G., Lorenz, B., Persson, B.N.J., Wohlers, A.: Contact mechanics and rubber friction for randomly rough surfaces with anisotropic statistical properties. Eur. Phys. J. E 29, 275–284 (2009)CrossRef
17.
go back to reference Almqvist, A., Campan, C., Prodanov, N., Persson, B.N.J.: Interfacial separation between elastic solids with randomly rough surfaces: comparison between theory and numerical techniques. J. Mech. Phys. Solids 59, 2355–2369 (2011)CrossRef Almqvist, A., Campan, C., Prodanov, N., Persson, B.N.J.: Interfacial separation between elastic solids with randomly rough surfaces: comparison between theory and numerical techniques. J. Mech. Phys. Solids 59, 2355–2369 (2011)CrossRef
18.
go back to reference Persson, B.N.J., Albohr, O., Mancosu, F., Peveri, V., Samoilov, V.N., Sivebk, I.M.: On the nature of the static friction, kinetic friction and creep. Wear 254, 835–851 (2003)CrossRef Persson, B.N.J., Albohr, O., Mancosu, F., Peveri, V., Samoilov, V.N., Sivebk, I.M.: On the nature of the static friction, kinetic friction and creep. Wear 254, 835–851 (2003)CrossRef
19.
go back to reference Scherge, M., Gorb, S.: Biological Micro- and Nanotribology. Springer, Berlin (2001)CrossRef Scherge, M., Gorb, S.: Biological Micro- and Nanotribology. Springer, Berlin (2001)CrossRef
20.
go back to reference Gorb, S.N.: Visualisation of native surfaces by two-step molding. Microsc. Today 15, 44–66 (2007)CrossRef Gorb, S.N.: Visualisation of native surfaces by two-step molding. Microsc. Today 15, 44–66 (2007)CrossRef
21.
go back to reference Huber, G., Gorb, S.N., Hosoda, N., Spolenak, R., Arzt, E.: Influence of surface roughness on gecko adhesion. Acta Biomater. 3, 607–610 (2007)CrossRef Huber, G., Gorb, S.N., Hosoda, N., Spolenak, R., Arzt, E.: Influence of surface roughness on gecko adhesion. Acta Biomater. 3, 607–610 (2007)CrossRef
22.
go back to reference Koch, K., Dommisse, A., Barthlott, W., Gorb, S.N.: The use of plant waxes as templates for micro- and nanopatterning of surfaces. Acta Biomater. 3, 905–909 (2007)CrossRef Koch, K., Dommisse, A., Barthlott, W., Gorb, S.N.: The use of plant waxes as templates for micro- and nanopatterning of surfaces. Acta Biomater. 3, 905–909 (2007)CrossRef
23.
go back to reference Kunzler, T.P., Drobek, T., Schuler, M., Spencer, N.D.: Systematic study of osteoblast and fibroblast response to roughness by means of surface-morphology gradients. Biomaterials 28, 2175–2182 (2007)CrossRef Kunzler, T.P., Drobek, T., Schuler, M., Spencer, N.D.: Systematic study of osteoblast and fibroblast response to roughness by means of surface-morphology gradients. Biomaterials 28, 2175–2182 (2007)CrossRef
24.
go back to reference Mergel, J.C., Sahli, R., Scheibert, J., Sauer, R.A.: Continuum contact models for coupled adhesion and friction, arXiv:1803.00046v1 [cs.CE] (2018) Mergel, J.C., Sahli, R., Scheibert, J., Sauer, R.A.: Continuum contact models for coupled adhesion and friction, arXiv:​1803.​00046v1 [cs.CE] (2018)
25.
go back to reference Khafidh, M., Setiyana, B., Jamari, J., Masen, M.A., Schipper, D.J.: Understanding the occurrence of a wavy wear track on elastomeric materials, Wear 412–413, 23 (2018), and references thereinCrossRef Khafidh, M., Setiyana, B., Jamari, J., Masen, M.A., Schipper, D.J.: Understanding the occurrence of a wavy wear track on elastomeric materials, Wear 412–413, 23 (2018), and references thereinCrossRef
26.
go back to reference Sahli, R., Pallares, G., Ducottet, C., Ben Ali, I.E., Al Akhrass, S., Guibert, M., Scheibert, J.: Evolution of real contact area under shear. Proc. Natl. Acad. Sci. 115, 471–476 (2018)CrossRef Sahli, R., Pallares, G., Ducottet, C., Ben Ali, I.E., Al Akhrass, S., Guibert, M., Scheibert, J.: Evolution of real contact area under shear. Proc. Natl. Acad. Sci. 115, 471–476 (2018)CrossRef
27.
go back to reference Audry, M.C., Fretigny, C., Chateauminois, A., Teissere, J., Barthel, E.: Slip dynamics at a patterned rubber/glass interface during stick-slip motions. Eur. Phys. J. E 35, 83 (2012)CrossRef Audry, M.C., Fretigny, C., Chateauminois, A., Teissere, J., Barthel, E.: Slip dynamics at a patterned rubber/glass interface during stick-slip motions. Eur. Phys. J. E 35, 83 (2012)CrossRef
28.
go back to reference Vorvolakos, K., Chaudhury, M.K.: The effects of molecular weight and temperature on the kinetic friction of silicone rubbers. Langmuir 19, 6778–6787 (2003)CrossRef Vorvolakos, K., Chaudhury, M.K.: The effects of molecular weight and temperature on the kinetic friction of silicone rubbers. Langmuir 19, 6778–6787 (2003)CrossRef
29.
go back to reference Menga, N., Carbone, G., Dini, D.: Do uniform tangential interfacial stresses enhance adhesion? J. Mech. Phys.Solids 112, 145–156 (2018)CrossRef Menga, N., Carbone, G., Dini, D.: Do uniform tangential interfacial stresses enhance adhesion? J. Mech. Phys.Solids 112, 145–156 (2018)CrossRef
30.
go back to reference Ciavarella, M.: Fracture mechanics simple calculations to explain small reduction of the real contact area under shear. Facta Univ. 16, 87–91 (2018) Ciavarella, M.: Fracture mechanics simple calculations to explain small reduction of the real contact area under shear. Facta Univ. 16, 87–91 (2018)
31.
go back to reference Menard, E., Rogers, J.A.: In: Bhushan, B. (ed.): Stamping Techniques for Micro- and Nanofabrication. Springer Handbook of Nanotechnology, Springer, Berlin (2010) Menard, E., Rogers, J.A.: In: Bhushan, B. (ed.): Stamping Techniques for Micro- and Nanofabrication. Springer Handbook of Nanotechnology, Springer, Berlin (2010)
32.
go back to reference Gordan, O.D., Persson, B.N.J., Cesa, C.M., Mayer, D., Hoffmann, B., Dieluweit, S., Merkel, R.: On pattern transfer in replica molding. Langmuir 24, 6636–6639 (2008)CrossRef Gordan, O.D., Persson, B.N.J., Cesa, C.M., Mayer, D., Hoffmann, B., Dieluweit, S., Merkel, R.: On pattern transfer in replica molding. Langmuir 24, 6636–6639 (2008)CrossRef
33.
go back to reference Persson, B.N.J.: On the mechanism of adhesion in biological systems. J. Chem. Phys. 118, 7614–7621 (2003)CrossRef Persson, B.N.J.: On the mechanism of adhesion in biological systems. J. Chem. Phys. 118, 7614–7621 (2003)CrossRef
34.
go back to reference Geim, A.K., Dubonos, S.V., Grigorieva, I.V., Novoselov, K.S., Zhukov, A.A., Shapoval, SYu.: Microfabricated adhesive mimicking gecko foot-hair. Nat. Mater. 2, 461 (2003)CrossRef Geim, A.K., Dubonos, S.V., Grigorieva, I.V., Novoselov, K.S., Zhukov, A.A., Shapoval, SYu.: Microfabricated adhesive mimicking gecko foot-hair. Nat. Mater. 2, 461 (2003)CrossRef
35.
go back to reference de Gennes, P.-G., Brochard-Wyart, F., Quere, D.: Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer, New York (2004)CrossRef de Gennes, P.-G., Brochard-Wyart, F., Quere, D.: Capillarity and Wetting Phenomena: Drops, Bubbles, Pearls, Waves. Springer, New York (2004)CrossRef
36.
go back to reference Campana, C., Persson, B.N.J., Müser, M.H.: Transverse and normal interfacial stiffness of solids with randomly rough surfaces. J. Phys. 23, 085001 (2011) Campana, C., Persson, B.N.J., Müser, M.H.: Transverse and normal interfacial stiffness of solids with randomly rough surfaces. J. Phys. 23, 085001 (2011)
Metadata
Title
On the Use of Silicon Rubber Replica for Surface Topography Studies
Authors
J. S. Persson
A. Tiwari
E. Valbahs
T. V. Tolpekina
B. N. J. Persson
Publication date
01-12-2018
Publisher
Springer US
Published in
Tribology Letters / Issue 4/2018
Print ISSN: 1023-8883
Electronic ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-018-1092-0

Other articles of this Issue 4/2018

Tribology Letters 4/2018 Go to the issue

Premium Partners