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Shear strength determination using the nanoscratch technique and its application to thin solid films

Published online by Cambridge University Press:  03 March 2011

Ki Myung Lee
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801
Andreas A. Polycarpou*
Affiliation:
Department of Mechanical and Industrial Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801
*
a) Address all correspondence to this author. e-mail: polycarp@uiuc.edu
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Abstract

Reliable measurement of mechanical properties of thin solid films has been challenging, despite widespread usage of thin films in applications such as semiconductor, magnetic storage, and microelectromechanical systems. Some of the challenges include instrument limitations and inadequacy of theoretical models to obtain quantitative prediction of thin film properties. In this article, we propose a technique to extract the shear strength of thin films from nanoscratch experiments using a contact mechanics analysis of a sliding sphere. Based on the stress field analysis by Hamilton, the stress status around the contact point is obtained at the initiation of yield, and is used to establish a direct correlation between contact pressure/surface traction and shear strength. Nanoscratch experiments were also performed on an extremely thin diamond carbon overcoat used in supersmooth magnetic storage disks, and the shear strength was successfully obtained using the proposed technique. These results were comparable with hardness values reported in the literature, assuming Tabor’s empirical relation (hardness ≈ 3*yield strength) and Tresca yield criterion. Finally, a finite element model was developed to simulate a rigid sphere sliding over a deformable solid to further verify the validity of the proposed model. The finite element analysis confirmed that the calculation results from the proposed relation are in good agreement with experimentally measured bulk property values of shear strength.

Type
Articles
Copyright
Copyright © Materials Research Society 2006

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References

REFERENCES

1Haque, M.A. and Saif, M.T.A.: Application of MEMS force sensors for in situ mechanical characterization of nano-scale thin films in SEM and TEM. Sens. Actuators, A 97–98, 239 (2002).CrossRefGoogle Scholar
2Mohs, F.: Grundriss der Mineralogie, (1824), English Translation by W. Haidinger, Treatise of Mineralogy. (Constable, Edinburgh, Scotland, 1825).Google Scholar
3Williams, J.A.: Analytical models of scratch hardness. Tribol. Int. 29, 675 (1996).Google Scholar
4Goddard, J. and Wilman, H.: A theory of friction and wear during the abrasion of metals. Wear 5, 114 (1962).CrossRefGoogle Scholar
5Komvopoulos, K., Saka, N., and Suh, N.P.: Mechanism of friction in boundary lubrication. ASME J. Tribol. 107, 452 (1985).CrossRefGoogle Scholar
6Kral, E.R., Komvopoulos, K., and Bogy, D.B.: Hardness of thin-film media: Scratch experiments and finite element simulations. ASME J. Tribol. 118, 1 (1996).Google Scholar
7Tayebi, N., Conry, T.F., and Polycarpou, A.A.: Determination of hardness from nanoscratch experiments: Corrections for interfacial shear stress and elastic recovery. J. Mater. Res. 18, 2150 (2003).CrossRefGoogle Scholar
8Tayebi, N., Polycarpou, A.A., and Conry, T.F.: Effects of the substrate on the determination of hardness of thin films by the nanoscratch and nanoindentation techniques. J. Mater. Res. 19, 1791 (2004).CrossRefGoogle Scholar
9Tayebi, N., Conry, T.F., and Polycarpou, A.A.: Reconciliation of nanoscratch hardness with nanoindentation hardness including the effects of interface shear stress. J. Mater. Res. 19, 3316 (2004).Google Scholar
10Hertz, H.: On the contact of rigid elastic solids. J. Reine und Angewandte Mathmatik, 92, 156 (1882),Google Scholar
English Translation by Jones, and Schott, . (Macmillan, London, 1896).Google Scholar
11Mindlin, R.D.: Compliance of elastic bodies in contact. J. Appl. Mech. 16, 259 (1949).Google Scholar
12Hamilton, G.M. and Goodman, L.E.: The stress field created by a circular sliding contact. J. Appl. Mech. 33, 371 (1966).Google Scholar
13Hamilton, G.M.: Explicit equations for the stresses beneath a sliding spherical contact. Proc. Inst. Mech. Eng. H. 197C, 53 (1983).Google Scholar
14Sackfield, A. and Hills, D.A.: Some useful results in the tangentially loaded Hertz contact problem. J. Strain Anal. 18, 107 (1983).CrossRefGoogle Scholar
15Bryant, M.D. and Keer, L.M.: Rough contact between elastically and geometrically similar curved bodies. J. Appl. Mech. 49, 345 (1982).Google Scholar
16Chang, W.R., Etsion, I., and Bogy, D.B.: Static friction coefficient model for metallic rough surfaces. ASME J. Tribol. 110, 57 (1988).Google Scholar
17Kral, E.R. and Komvopoulos, K.: Three-dimensional finite element analysis of surface deformation and stresses on an elastic-plastic layered medium subjected to indentation and sliding contact loading. J. Appl. Mech. 63, 365 (1996).CrossRefGoogle Scholar
18Bucaille, J.L., Felder, E., and Hochstetter, G.: Mechanical analysis of the scratch test on elastic and perfectly plastic materials with the three-dimensional finite element modeling. Wear 249, 422 (2001).Google Scholar
19Subash, G. and Zhang, W.: Investigation of the overall friction coefficient in single-pass scratch test. Wear 252, 123 (2002).CrossRefGoogle Scholar
20Kogut, L. and Komvopoulos, K.: Analysis of the spherical indentation cycle for elastic–perfectly plastic solids. J. Mater. Res. 19, 3641 (2004).CrossRefGoogle Scholar
21Li, X.D. and Bhushan, B.: Micro/nanomechanical and tribological characterization of ultrathin amorphous carbon coatings. J. Mater. Res. 14, 2328 (1999).Google Scholar
22Li, X.D. and Bhushan, B.: Micromechanical and tribological characterization of hard amorphous carbon coatings as thin as 5 nm for magnetic recording heads. Wear 220, 51 (1998).Google Scholar
23Nanoscratch User Manual. (Hysitron, Inc., Minneapolis, MN).Google Scholar
24Boussinesq, J.: Application of Potentials to the Study of Equilibrium and Movement of Elastic Solids. (Gauthier-Villars, Paris, France, 1885).Google Scholar
25Kogut, L. and Etsion, I.: Elastic-plastic contact analysis of a sphere and a rigid flat. J. Appl. Mech. 69, 657 (2002).Google Scholar
26Kogut, L. and Etsion, I.: A semi-analytical solution for the sliding inception of a spherical contact. ASME J. Tribol. 125, 499 (2003).CrossRefGoogle Scholar
27Bhushan, B.: Chemical, mechanical and tribological characterization of ultra-thin and hard amorphous carbon coatings as thin as 3.5 nm: Recent developments. Diamond Relat. Mater. 8, 1985 (1999).Google Scholar
28Tabor, D.: Hardness of Metals. (Clarendon Press, Oxford, 1951).Google Scholar
29Widlow, I. and Chung, Y.W.: Synthesis and characterization of carbon nitride thin films. Int. Mater. Reviews 47, 153 (2002).CrossRefGoogle Scholar
30Bull, S.J. and Korsunsky, A.M.: Mechanical properties of thin carbon overcoats. Trib. Int. 31, 547 (1998).CrossRefGoogle Scholar
31Analysis, ABAQUS.: User’s Manual, ABAQUS Version 6.4 Documentation, (ABAQUS, Inc., Providence, RI, 2003).Google Scholar
32Lee, K.M. and Polycarpou, A.A.: Wear of conventional pearlitic and improved bainitic rail steels. Wear 259, 391 (2005).CrossRefGoogle Scholar
33Canadinc, D., Sehitoglu, H., Maier, H.J., Dadda, J., and Kurath, P.: Predicting the yield strength in shear utilizing a visco-plastic self-consistent model. Metall. Mater. Trans. A, (in review).Google Scholar