Indentation of an incompressible elastic film

Mechanics of Materials

Volumn 30, Issue 4, 1998, Pages 275-286

  Yang, Fuqian ^a  

^a Stony Brook University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ADHESION; BOUNDARY CONDITIONS; COMPRESSIBILITY OF SOLIDS; ELASTICITY; INTERFACES (MATERIALS); MATHEMATICAL TRANSFORMATIONS; THIN FILMS;

INCOMPRESSIBLE ELASTIC FILM; INDENTATION; INTEGRAL TRANSFORM;

MECHANICAL VARIABLES MEASUREMENT;

EID: 0032300539     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6636(98)00035-0     Document Type: Article

References (20)

1. Alblas, J.B., Kuipers, M., 1969. Contact problems of a rectangular block on an elastic layer of finite thickness. Acta Mech. 8, 133-145.
2. Armstrong, R.W., Shin, H., Ruff, A.W., 1995. Elastic/Plastic effects during very low-load hardness testing of copper. Acta Metall. Mat. 43, 1037-1043.
3. Chiu, Y.R., Hartnett, M.J., 1983. A numerical solution for layered solid contact problems with application to bearings. ASME J. Lub. Technol. 105, 585-590.
4. Cole, S.J., Sayles, R.S., 1992. A numerical model for the contact of layered elastic bodies with real rough surfaces. ASME J. Tribol. 114, 334-340.
5. Conway, H.D., Farnham, K.A., 1967. The contact stress problem for indented strips and slabs under conditions of partial slipping. Int. J. Eng. Sci. 5, 145-154.
6. Doerner, M.F., Nix, W.D., 1986. A method for interpreting the data from depth-sensing indentation instruments. J. Mat. Res. 1, 601-609.
7. Erdogan, F., 1969. Approximate solutions of systems of singular integral equations. SIAM J. Appl. Math. 17, 1041-1059.
8. Fung, Y.C., 1965. Foundations of Solid Mechanics. Prentice-Hall, Englewood Cliffs, NJ.
9. Hainsworth, S.V., Page, T.F., 1994. Nanoindentation studies of the chemomechanical effect in sapphire. J. Mat. Sci. 29, 5529-5540.
10. Harding, J.W., Sneddon, I.N., 1945. The elastic stresses produced by the indentation of the plane surface of a semi-infinite elastic solid by a rigid punch. Proc. Cambridge Philos. Soc. 41, 16-26.
11. Johnson, K.L., 1985. Contact Mechanics. Cambridge Univ. Press, Cambridge.
12. Mann, A.B., Pethica, J.B., Nix, W.D., Tomiya, S., 1995. Nanoindentation of epitaxial films: A study of pop-in events. Mat. Res. Soc. Symp. Proc. 356, 271-273.
13. Matthewson, M.J., 1981. Axi-symmetric contact on thin compliant coatings. J. Mech. Phys. Solids 29, 89-113.
14. Pao, Y.C., Wu, T.S., Chiu, Y.P., 1971. Bounds on the maximum contact stress of an indented elastic layer. ASME J. Appl. Mech. 38, 608-614.
15. Pharr, G.M., Oliver, W.C., Brotzon, F.R., 1992. On the generality of the relationship among contact stiffness, contact area, and elastic modulus during indentation. J. Mat. Res. 7, 613-617.
16. Sneddon, I.N., 1966. Mixed Boundary Value Problems in Potential Theory. Wiley, New York.
17. Spence, D.A., 1968. Self-similar solutions to adhesive contact problems with incremental loadings. Proc. R. Soc. A 305, 55-80.
18. Yang, F., Li, J.C.M., 1995a. Impression test of 63Sn-37Pb eutectic alloy. Mat. Sci. Eng. A 201, 40-49.
19. Yang, F., Li, J.C.M., 1995b. Impression tests and viscosity measurement. In: Chu, S.N.G. et al. (Ed.), Micro-Mechanics of Advanced Materials. TMS Publication, pp. 359-366.
20. Yu, H.Y., Sanday, S.C., Rath, B.B., 1990. The effect of substrate on the elastic properties of films determined by the indentation test -Axisymmetric Boussinesq problem. J. Mech. Phys. Solids 38, 745-764.