Elastic deformation of coating/substrate composites in axisymmetric indentation

Journal of Materials Research

Volumn 20, Issue 8, 2005, Pages 2173-2183

  Sakai, M ^a   Zhang, J ^a   Matsuda, A ^a  

^a TOYOHASHI UNIVERSITY OF TECHNOLOGY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COATINGS; DEFORMATION; ELASTIC MODULI; GREEN'S FUNCTION; INDENTATION; INTEGRAL EQUATIONS; SOL-GELS; STRESS CONCENTRATION; SUBSTRATES;

AXISYMMETRIC INDENTATION; ELASTIC DEFORMATION; FREDHOLM INTEGRAL EQUATION;

COMPOSITE MATERIALS;

EID: 28844499204     PISSN: 08842914     EISSN: None     Source Type: Journal    
DOI: 10.1557/JMR.2005.0270     Document Type: Article

References (24)

1. M.F. Doerner and W.D. Nix: A method for interpreting the data from depth-sensing indentation instruments. J. Mater. Res. 1, 601 (1986).
2. N.G. Chechemin, J. Bøttiger, and J.P. Krog: Nanoindentation of amorphous aluminum oxide film I. The influence of the substrate on the plastic properties. Thin Solid Films 261, 219 (1995).
3. T.Y. Tsui, J.J. Vlassak, and W.D. Nix: Indentation plastic displacement field, Part I and II. J. Mater. Res. 14, 2196 (1999).
4. W.W. Gerberich, A. Strojny, K. Yoder, and L-S. Cheng: Hard protective overlayers on viscoelastic-plastic substrates. J. Mater. Res. 14, 2210 (1999).
5. T. Sawa, Y. Akiyama, A. Shimamoto, and K. Tanaka: Nanoindentation of a 10 nm thick thin film. J. Mater. Res. 14, 2228 (1999).
6. J. Malzbender, G. de With, and J.M.J. den Toonder: Determination of the elastic modulus and hardness of sol-gel coatings on glass; Influence of indenter geometry. Thin Solid Films 372, 134 (2000).
7. X.I. Chen and J.J. Vlassak: Numerical study on the measurement of thin film mechanical properties by means of nanoindentations. J. Mater. Res. 16, 2974 (2001).
8. R. Saha and W.D. Nix: Effects of the substrate on the determination of thin film mechanical properties by nanoindentation. Acta Mater. 50, 23 (2002).
9. A.J. Atanacio, B.A. Latella, C.J. Barbé, and M.V. Swain: Mechanical properties and adhesion characteristics of hybrid sol-gel thin films. Surf. Coat. Technol. 192, 354 (2005).
10. H. Bückle: Use of the hardness test to determine other material properties, in The Science of Hardness Testing and Its Research Application, edited by J.W. Westbrook and H. Conrad (ASM, Materials Park, OH, 1973), p. 453.
11. Z-H. Xu and D. Rowcliffe: Finite element analysis of substrate effects on indentation behavior of thin films. Thin Solid Films 447-448, 399 (2004).
12. R.S. Dhaliwal: Punch problem for an elastic layer overlying an elastic foundation. Int. J. Eng. Sci. 8, 273 (1970).
13. R.S. Dhaliwal and I.S. Rau: The axisymmetric Boussinesq problem for a thick elastic layer under a punch of arbitrary profile. Int. J. Eng. Sci. 8, 843 (1970).
14. H.Y. Yu, S.C. Sanday, and B.B. Rath: The effect of substrate on the elastic properties of films determined by the indentation test; Axisymmetric Boussinesq problem. J. Mech. Phys. Solids 38, 745 (1990).
15. C-H. Hsueh and P. Miranda: Master curves for Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 94 (2004).
16. C-H. Hsueh and P. Miranda: Combined empirical-analytical method for determining contact radius and indenter displacement during Hertzian indentation on coating/substrate systems. J. Mater. Res. 19, 2774 (2004).
17. K.L. Johnson: Contact Mechanics (Cambridge University Press, Cambridge, U.K., 1985), Chap. 4 and 5.
18. H. Gao, C-H. Chiu, and J. Lee: Elastic contact versus indentation modeling of multi-layered materials. Int. J. Solids Struct. 29, 2471 (1992).
19. S.P. Timoshenko and J.N. Goodier: Theory of Elasticity (McGraw-Hill, New York, 1951), Sec. 138 in Chap. 12.
20. C.J. Brinker and G.W. Scherer: Sol-Gel Science (Academic Press, San Diego, CA, 1990).
21. A. Matsuda: Sol-gel micropatterning, in Application of Sol-Gel Technology, Vol. III, edited by S. Sakka (Kluwer Academic, Boston, MA, 2004), Chap. 30.
22. S.E. El-Gendi: Chebyshev solution of differential, integral and integro-differential equations. Comput. J. 12, 282 (1969).
23. F. Yang: Thickness effect on the indentation of an elastic layer. Mater. Sci. Eng. A358, 226 (2003).
24. J. Menčik, D. Munz, E. Quandt, E.R. Weppelmann, and M.V. Swain: Determination of elastic modulus of thin layers using naniondentation. J. Mater. Res. 12, 2475 (1997).