Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-13T12:56:28.054Z Has data issue: false hasContentIssue false

Contact mechanics for coated spheres that includes the transition from weak to strong adhesion

Published online by Cambridge University Press:  31 January 2011

E.D. Reedy Jr.*
Affiliation:
Sandia National Laboratories, Albuquerque, New Mexico 87185
*
a)Address all correspondence to this author. e-mail: edreedy@sandia.gov
Get access

Abstract

Recently published results for a rigid spherical indenter contacting a thin, linear elastic coating on a rigid planar substrate have been extended to include the case of two contacting spheres, where each sphere is rigid and coated with a thin, linear elastic material. This is done by using an appropriately chosen effective radius and coating modulus. The earlier work has also been extended to provide analytical results that span the transition between the previously derived Derjaguin–Müller–Toporov (DMT)-like (work of adhesion/coating-modulus ratio is small) and Johnson–Kendall–Roberts (JKR)-like (work of adhesion/coating-modulus ratio is large) limits.

Type
Articles
Copyright
Copyright © Materials Research Society 2007

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

REFERENCES

1de Boer, M.P., Luck, D.L., Ashurst, W.R., Maboudian, R., Corwin, A.D., Walraven, J.A.Redmond, J.M.: High-performance surface-micromachined inchworm actuator. J. Microelectromech. Syst. 13, 63 2004CrossRefGoogle Scholar
2Hsueh, C-H.Miranda, P.: Combined empirical-analytical method for determining contact radius and indenter displacement during Hertzian indentation of coating/substrate systems. J. Mater. Res. 19, 2774 2004CrossRefGoogle Scholar
3Hsueh, C-H.Miranda, P.: Master curves for Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 94 2004CrossRefGoogle Scholar
4Perriot, A.Barthel, E.: Elastic contact to a coated half-space: Effective elastic modulus and real penetration. J. Mater. Res. 19, 600 2004CrossRefGoogle Scholar
5Johnson, K.L.Sridhar, I.: Adhesion between a spherical indenter and an elastic solid with a compliant elastic coating. J. Phys. D Appl. Phys. 34, 683 2001CrossRefGoogle Scholar
6Sridhar, I., Zheng, Z.W.Johnson, K.L.: A detailed analysis of adhesion mechanics between a compliant elastic coating and a spherical probe. J. Phys. D: Appl. Phys. 37, 2886 2004CrossRefGoogle Scholar
7Barthel, E.Perriot, A.: Adhesive contact to a coated elastic substrate. J. Phys. D: Appl. Phys. 40, 1059 2007CrossRefGoogle Scholar
8Sergici, A.O., Adams, G.G.Muftu, S.: Adhesion in the contact of a spherical indenter with a layered elastic half-space. J. Mech. Phys. Solids 54, 1843 2006CrossRefGoogle Scholar
9Reedy, E.D. Jr., Starr, M.J., Jones, R.E., Flater, E.E.Carpick, R.W.: Contact modeling of SAM-coated polysilicon asperities. 28th Annual Meeting (The Adhesion Society, Mobile, AL, February 13–16 2005Google Scholar
10Grierson, D.S., Flater, E.E.Carpick, R.W.: Accounting for the JKR-DMT transition in adhesion and friction measurements with atomic force microscopy. J. Adhes. Sci. Technol. 19, 291 2005CrossRefGoogle Scholar
11Reedy, E.D. Jr., de Boer, M.P., Corwin, A.D., Starr, M.J., Bitsie, F., Sumali, H., Redmond, J.M., Jones, R.E., Antoun, B.R., Subhash, G., Carpick, R.W., Flater, E.E., Street, M.D.Ashurst, W.R.: High fidelity frictional models for MEMS. SAND2004-4791, Sandia National Laboratories, Albuquerque, (2004)Google Scholar
12delRio, F.W., de Boer, M.P., Knapp, J.A., Reedy, E.D. Jr., Clews, P.J.Dunn, M.L.: The role of van der Waals forces in adhesion of micromachined surfaces. Nat. Mater. 4, 629 2005CrossRefGoogle Scholar
13Reedy, E.D. Jr.: Thin-coating contact mechanics with adhesion. J. Mater. Res. 21, 2660 2006CrossRefGoogle Scholar
14Johnson, K.L.: Contact Mechanics Cambridge University Press Cambridge, England 1985CrossRefGoogle Scholar
15Derjaguin, B.V., Müller, V.M.Toporov, Y.P.: Effect of contact deformations on the adhesion of particles. J. Colloid Interface Sci. 53, 314 1975CrossRefGoogle Scholar
16Johnson, K.L., Kendall, K.Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. (London) A 324, 301 1971Google Scholar
17Johnson, K.L.: Continuum-mechanics modeling of adhesion and friction. Langmuir 12, 4510 1996CrossRefGoogle Scholar
18Maugis, D.: Adhesion of spheres: The JKR-DMT transition using a Dugdale model. J. Colloid Interface Sci. 150, 243 1992CrossRefGoogle Scholar