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Relationship between scratch hardness and yield strength of elastic perfectly plastic materials using finite element analysis

Published online by Cambridge University Press:  31 January 2011

Ki Myung Lee ,
Chang-Dong Yeo  and
Andreas A. Polycarpou
Ki Myung Lee
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801
Chang-Dong Yeo
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801
Andreas A. Polycarpou*
Affiliation:
Department of Mechanical Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, Illinois 61801
*
b) Address all correspondence to this author. e-mail:[email protected]
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Abstract

With thin solid film usage expanding in numerous technologies, reliable measurements of material properties such as yield strength become important. However, for thin solid films the measurement of yield strength is not readily available, and an alternative method to obtain this property is to measure hardness and convert it to yield strength. Tabor suggested dividing hardness by ∼3 to obtain yield strength, which has been used extensively, despite its shortcomings. Since the pioneering work of Tabor, researchers have performed numerical and experimental studies to investigate the relationships between hardness, yield strength, and elastic modulus, using the indentation technique. In this study, finite element analysis was performed to simulate the nanoscratch technique. Specifically, the nanoscratch finite element analysis was used to validate a previously developed analytical scratch hardness model. A full-factorial design-of-experiments was performed to determine the significant variables for the ratio of calculated scratch hardness to yield strength and a simple analytical prediction model for the ratio of hardness to yield strength was proposed.

Keywords

Thin filmHardnessStrength
Type
Articles
Information
Journal of Materials Research , Volume 23 , Issue 8 , August 2008 , pp. 2229 - 2237
Copyright
Copyright © Materials Research Society 2008

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References

REFERENCES

1Oliver, W.C., Pharr, G.M.: Improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J. Mater. Res. 7, 1564 1992CrossRefGoogle Scholar
2Yu, N., Bonin, W.A., Polycarpou, A.A.: High-resolution capacitive load-displacement transducer and its application in nanoindentation and adhesion force measurements. Rev. Sci. Instrum. 76, 045109 2005CrossRefGoogle Scholar
3Lee, K.M., Yeo, C-D., Polycarpou, A.A.: Nanomechanical property and nanowear measurements for sub-10 nm thick films in magnetic storage. Exp. Mech. 47, 107 2007CrossRefGoogle Scholar
4Li, X., Bhushan, B.: Measurement of fracture toughness of ultra-thin amorphous carbon films. Thin Solid Films 315, 214 1998CrossRefGoogle Scholar
5Goddard, J., Wilman, H.: A theory of friction and wear during the abrasion of metals. Wear 5, 114 1962CrossRefGoogle Scholar
6Tayebi, N., Conry, T.F., Polycarpou, A.A.: Determination of hardness from nanoscratch experiments: Corrections for interfacial shear stress and elastic recovery. J. Mater. Res. 18, 2150 2003CrossRefGoogle Scholar
7Bückle, H.: The Science of Hardness Testing and Its Research Applications American Society for Metals Metals Park, OH 1973Google Scholar
8Tayebi, N., Polycarpou, A.A., 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 2004CrossRefGoogle Scholar
9Haque, M.A., Saif, M.T.A.: In-situ tensile testing of nano-scale specimens in SEM and TEM. Exp. Mech. 42, 123 2002CrossRefGoogle Scholar
10Cho, S., Chasiotis, I., Friedmann, T.A., Sullivan, J.P.: Young’s modulus, Poisson’s ratio and failure properties of tetrahedral amorphous diamond-like carbon for MEMS devices. J. Micromech. Microeng. 15, 728 2005CrossRefGoogle Scholar
11Tabor, D.: Hardness of Metals Clarendon Press Oxford 1951Google Scholar
12Cheng, Y.T., Cheng, C.M.: Scaling approach to conical indentation in elastic-plastic solids with work hardening. J. Appl. Phys. 84, 1284 1998CrossRefGoogle Scholar
13Mata, M., Anglada, M., Alcala, J.: Contact deformation regimes around sharp indentation and the concept of the characteristic strain. J. Mater. Res. 17, 964 2002CrossRefGoogle Scholar
14Vandeperre, L.J., Giuliani, F., Clegg, W.J.: Effect of elastic surface deformation on the relation between hardness and yield strength. J. Mater. Res. 19, 3704 2004CrossRefGoogle Scholar
15Yu, N., Polycarpou, A.A., Conry, T.F.: Tip-radius effect in finite element modeling of sub-50 nm shallow nanoindentation. Thin Solid Films 450, 295 2004CrossRefGoogle Scholar
16Bucaille, J.L., Felder, E., Hochstetter, G.: Mechanical analysis of the scratch test on elastic and perfectly plastic materials with the three-dimensional finite element modeling. Wear 249, 422 2001CrossRefGoogle Scholar
17Subhash, G., Zhang, W.: Investigation of the overall friction coefficient in single-pass scratch test. Wear 252, 123 2002CrossRefGoogle Scholar
18Kral, E.R., Komvopoulos, K., Bogy, D.B.: Hardness of thin-film media: Scratch experiments and finite element simulations. J. Tribol.—Trans. ASME 118, 1 1996CrossRefGoogle Scholar
19Boussinesq, J.: Application of Potentials to the Study of Equilibrium and Motion of Elastic Bodies. Gauthier-Villars Paris, France 1885Google Scholar
20Tayebi, N., Conry, T.F., Polycarpou, A.A.: Reconciliation of nanoscratch hardness with nanoindentation hardness including the effects of interface shear stress. J. Mater. Res. 19, 3316 2004CrossRefGoogle Scholar
21Bhushan, 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 1999CrossRefGoogle Scholar
22DeVor, R.E., Chang, T., Sutherland, J.W.: Statistical Quality Design and Control: Contemporary Concepts and Methods. 2nd ed.Prentice Hall, NJ 2006Google Scholar
23Bhushan, B., Li, X.D.: Micromechanical and tribological characterization of doped single-crystal silicon and polysilicon films for microelectromechanical systems devices. J. Mater. Res. 12, 54 1997CrossRefGoogle Scholar
24Li, X.D., Bhushan, B., Takashima, K., Baek, C.W., Kim, Y.K.: Mechanical characterization of micro/nanoscale structures for MEMS/NEMS applications using nanoindentation techniques. Ultramicroscopy 97, 481 2003CrossRefGoogle ScholarPubMed