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Thin-coating contact mechanics with adhesion

Published online by Cambridge University Press:  03 March 2011

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

An elementary theory for a rigid spherical indenter contacting a thin, linear elastic coating that is bonded to a rigid substrate was developed. This theory predicts that contact area varies as the square root of the compressive load in contrast to Hertz theory where contact area varies as the two-thirds power of the compressive load. Finite element analysis confirmed an approximate square root dependence of contact area on compressive load when the coating thickness-to-indenter radius ratio is less than 0.1 and when the coating Poisson’s ratio is less than 0.45. Thin-coating contact mechanics theories that use either the Derjaguin-Muller-Toporov (DMT) approximation or the Johnson-Kendall-Roberts (JKR) approximation were also developed. In addition, a finite element simulation capability that includes adhesion was developed and verified. Illustrative finite element simulations that include adhesion were then performed for a thin elastic coating (rigid indenter/substrate). Results were compared with the thin-coating contact theories and the transition from DMT-like to JKR-like response was examined.

Keywords

AdhesionCoatingSimulation

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Type
Articles
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Journal of Materials Research , Volume 21 , Issue 10 , October 2006, pp. 2660 - 2668
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1.Hsueh, 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).CrossRefGoogle Scholar
2.Hsueh, C-H., Miranda, P.: Master curves for Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 94 (2004).CrossRefGoogle Scholar
3.Perriot, A., Barthel, E.: Elastic contact to a coated half-space: Effective elastic modulus and real penetration. J. Mater. Res. 19, 600 (2004).CrossRefGoogle Scholar
4.Yang, F.: Adhesive contact between a rigid axisymmetric indenter and an incompressible elastic thin film. J. Phys. D: Appl. Phys. 35, 2614 (2002).CrossRefGoogle Scholar
5.Tang, T., Hui, C.Y.: Decohesion of a rigid punch from an elastic layer: Transition from “flaw sensitive” to “flaw insensitive” regime. J. Polym. Sci., Part B: Polym. Phys. 43, 3628 (2005).CrossRefGoogle Scholar
6.Carpick, R.W., Flater, E.E., Sridharan, K., Ogletree, D.F., Salmeron, M.: Atomic-scale friction and its connection to fracture mechanics. JOM 56, 48 (2004).CrossRefGoogle Scholar
7.Johnson, 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).CrossRefGoogle Scholar
8.Sridhar, 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).CrossRefGoogle Scholar
9.Wang, M., Liechti, K.M., Srinivasan, V., White, J.M., Rossky, P.J., Stone, T.M.: A hybrid molecular-continuum analysis of IFM experiments on a self-assembled monolayer. J. Appl. Mech. 2004, (submitted).Google Scholar
10.delRio, 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).CrossRefGoogle Scholar
11.Reedy, 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, NM, 2004).Google Scholar
12.Reedy, 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 of The Adhesion Society, Mobile, AL, February 13–16, 2005).Google Scholar
13.Grierson, 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).CrossRefGoogle Scholar
14.Johnson, K.L.: Contact Mechanics. (Cambridge University Press, Cambridge, 1985).CrossRefGoogle Scholar
15.Derjaguin, B.V., Muller, V.M., Toporov, Y.P.: Effect of contact deformations on the adhesion of particles. J. Colloid Interface Sci. 53, 314 (1975).CrossRefGoogle Scholar
16.Johnson, K.L., Kendall, K., Roberts, A.D.: Surface energy and the contact of elastic solids. Proc. R. Soc. London A 324, 301 (1971).Google Scholar
17.Rice, J.R.: A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 35, 379 (1968).CrossRefGoogle Scholar
18.Klein, P.A.: Tahoe User Guide. (Sandia National Laboratories, Albuquerque, NM, 2003).Google Scholar
19.Koteras, J.R., Gullerud, A.S.: Presto User’s Guide Version 1.05. (SAND2003-1089, Sandia National Laboratories, Albuquerque, NM, 2003).CrossRefGoogle Scholar
20.Johnson, K.L.: Continuum-mechanics modeling of adhesion and friction. Langmuir 12, 4510 (1996).CrossRefGoogle Scholar
21.Maugis, D.: Adhesion of spheres: The JRK-DMT transition using a Dugdale model. J. Colloid Interface Sci. 150, 243 (1992).CrossRefGoogle Scholar