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

  • E.D. Reedy (a1)
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.

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a)Address all correspondence to this author. e-mail: edreedy@sandia.gov
References
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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 2004
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 2004
3Hsueh, C-H.Miranda, P.: Master curves for Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 94 2004
4Perriot, A.Barthel, E.: Elastic contact to a coated half-space: Effective elastic modulus and real penetration. J. Mater. Res. 19, 600 2004
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 2001
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 2004
7Barthel, E.Perriot, A.: Adhesive contact to a coated elastic substrate. J. Phys. D: Appl. Phys. 40, 1059 2007
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 2006
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 2005
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 2005
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)
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 2005
13Reedy, E.D. Jr.: Thin-coating contact mechanics with adhesion. J. Mater. Res. 21, 2660 2006
14Johnson, K.L.: Contact Mechanics Cambridge University Press Cambridge, England 1985
15Derjaguin, B.V., Müller, V.M.Toporov, Y.P.: Effect of contact deformations on the adhesion of particles. J. Colloid Interface Sci. 53, 314 1975
16Johnson, K.L., Kendall, K.Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. (London) A 324, 301 1971
17Johnson, K.L.: Continuum-mechanics modeling of adhesion and friction. Langmuir 12, 4510 1996
18Maugis, D.: Adhesion of spheres: The JKR-DMT transition using a Dugdale model. J. Colloid Interface Sci. 150, 243 1992
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Journal of Materials Research
  • ISSN: 0884-2914
  • EISSN: 2044-5326
  • URL: /core/journals/journal-of-materials-research
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