Hostname: page-component-cd9895bd7-7cvxr Total loading time: 0 Render date: 2024-12-25T17:03:16.740Z Has data issue: false hasContentIssue false

Determination of viscoelastic moduli at a submicrometric scale

Published online by Cambridge University Press:  15 June 1999

C. Basire
Affiliation:
ESPCI/LPQ, Systèmes Interfaciaux à l'Échelle Nanométrique (ESA 7069 du CNRS), 10 rue Vauquelin, 75231 Paris, Cedex 05, France Rhodia Recherches, 52 rue de la Haie Coq, 93308 Aubervilliers Cedex, France
C. Frétigny*
Affiliation:
ESPCI/LPQ, Systèmes Interfaciaux à l'Échelle Nanométrique (ESA 7069 du CNRS), 10 rue Vauquelin, 75231 Paris, Cedex 05, France
Get access

Abstract

From an analysis of the static friction regime of the tip of an atomic force microscope, a method is proposed for determining the viscoelastic modulus of materials which are viscoelastic at the temperature of the experiment. Present experiments consist in displacing the sample in its plane, periodically or at a constant velocity, while measuring the tangential force response of the contact to this shear solicitation. The proposed model permits to determine the relaxation and complex moduli at a sub-micrometric scale. Several experimental confirmations of the description are presented and it is shown that the local moduli measurements compare favorably with macroscopical results.

Keywords

Type
Research Article
Copyright
© EDP Sciences, 1999

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Reiter, G., Europhys. Lett. 23, 579 (1993)
Luengo, G., Schmitt, F.J., Hill, R., Israelachvili, J., Macromolecules 30, 2482 (1997)
Michel, D., Kopp-Marsaudon, S., Aimé, J.P., Tribology Lett. 4, 75 (1998). CrossRef
Nysten, B., Legras, R., Costa, J.L., J. Appl. Phys. 78, 5953 (1995)
P.E. Mazeran, J.L. Loubet, Tribology Lett. (to be published).
Mareanukroh, M., Hamed, G.R., Eby, R.K., Rubber Chem. Techn. 69, 801 (1996)
Basire, C., Fretigny, C., C.R. Acad. Sci. Paris IIb 325, 211 (1997).
Wahl, K.J., Stepnowski, S.V., Unertl, M.N., Tribology Lett. 5, 103 (1998). CrossRef
C. Basire, Ph.D. thesis, University of Paris VI, 1998.
Israelachvili, J.N., in Fundamentals of Friction: Macroscopic and Microscopic Processes, edited by I.L. Singer, H.M. Pollock, NATO Ser. 220, 351 (1192)
Mindlin, R.D., J. Appl. Mech. 16, 259 (1949)
Savkoor, A.R., Briggs, G.A.D., Proc. R. Soc. Lond. A 356, 103 (1977); A.R. Savkoor, Ph.D. thesis, University of Delft, 1987. CrossRef
Johnson, K.L., Proc. R. Soc. Lond. A 453, 163 (1997). CrossRef
Graham, G.A.C., Q. Appl. Math. 26, 167 (1968). CrossRef
Fujisawa, S., Kishi, E., Sugawra, Y., Morita, S., Appl. Phys. Lett. 66, 526 (1995). CrossRef
Johnson, K.L., J. Mech. Phys. Solids 18, 115 (1970)
Maugis, D., Barquins, M., C.R. Acad. Sci. Paris B 291, 61 (1980).
C. Basire, C. Fretigny, in Polymers and surfaces : a versatile combination, edited by H. Hommel (Research Signpost, Trivandrum, India, 1998).
J.D. Ferry, Viscoelastic properties of polymers (Wiley, New-York, 1980).
Pharr, G.M., Oliver, W.C., MRS Bulletin 17, 28 (1992). CrossRef
Fretigny, C., Basire, C., Granier, V., J. Appl. Phys. 82, 43 (1997). CrossRef
Carpick, R.W., Ogletree, D.F., Salmeron, M., Appl. Phys. Lett. 70, 1548 (1997). CrossRef