Elastic–plastic spherical indentation: Deformation regimes, evolution of plasticity, and hardening effect

Mechanics of Materials

Volumn 61, Issue , 2013, Pages 91-100

  Song, Z ^a   Komvopoulos, K ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Contact; Deformation; Elastic; Hardening; Indentation; Plastic

Indexed keywords

CONTACTS (FLUID MECHANICS); DEFORMATION; GEOMETRY; HARDENING; INDENTATION; PLASTIC DEFORMATION; PLASTICS; STRAIN HARDENING; YIELD STRESS;

CONSTITUTIVE RELATIONS; EFFECTIVE ELASTIC MODULUS; ELASTIC; FINITE ELEMENT SIMULATIONS; INDENTATION BEHAVIOR; MEAN CONTACT PRESSURE; SPHERICAL INDENTATIONS; YIELD STRENGTH RATIOS;

FINITE ELEMENT METHOD;

EID: 84874630836     PISSN: 01676636     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechmat.2013.01.003     Document Type: Article

References (28)

1. Bhattacharya, A.K., Nix, W.D., Finite element simulation of indentation experiments. Int. J. Solids. Struct. 24 (1988), 881–891.
2. Biwa, S., Storåkers, B., An analysis of fully plastic Brinell indentation. J. Mech. Phys. Solids 43 (1995), 1303–1333.
3. Brizmer, V., Kligerman, Y., Etsion, I., The effect of contact conditions and material properties on the elasticity terminus of a spherical contact. Int. J. Solids Struct. 43 (2006), 5736–5749.
4. Cowles, B.A., High cycle fatigue in aircraft gas turbines – an industry perspective. Int. J. Fract. 80 (1996), 147–163.
5. Follansbee, P.S., Sinclair, G.B., Quasi-static normal indentation of an elasto-plastic half-space by a rigid sphere – I. Analysis. Int. J. Solids. Struct. 20 (1984), 81–91.
6. Giannakopoulos, A.E., Larsson, P.-L., Vestergaard, R., Analysis of Vickers indentation. Int. J. Solids. Struct. 31 (1994), 2679–2708.
7. Hardy, C., Baronet, C.N., Tordion, G.V., The elasto-plastic indentation of a half-space by a rigid sphere. Int. J. Numer. Meth. Eng. 3 (1971), 451–462.
8. Hill, R., The Mathematical Theory of Plasticity. 1967, Oxford University Press, London pp. 128–149.
9. Hill, R., Storåkers, B., Zdunek, A.B., A theoretical study of the Brinell hardness test. Proc. R. Soc. London A 423 (1989), 301–330.
10. Ishlinsky, A.Y., Axially symmetric problem in plasticity and Brinell's hardness test. Prikl. Mat. Mekh. 8 (1944), 201–224.
11. Jackson, R.L., Green, I., A finite element study of elasto-plastic hemispherical contact against a rigid flat. ASME J. Tribol. 127 (2005), 343–354.
12. Jackson, R.L., Kogut, L., A comparison of flattening and indentation approaches for contact mechanics modeling of single asperity contacts. ASME J. Tribol. 128 (2006), 209–212.
13. Johnson, K.L., Contact Mechanics. 1985, Cambridge University Press, Cambridge, England.
14. Kogut, L., Etsion, I., Elastic–plastic contact analysis of a sphere and a rigid flat. ASME J. Appl. Mech. 69 (2002), 657–662.
15. Kogut, L., Komvopoulos, K., Analysis of the spherical indentation cycle for elastic-perfectly plastic solids. J. Mater. Res. 19 (2004), 3641–3653.
16. Komvopoulos, K., Head-disk interface contact mechanics for ultrahigh density magnetic recording. Wear 238 (2000), 1–11.
17. Komvopoulos, K., Yan, W., Three-dimensional elastic–plastic fractal analysis of surface adhesion in microelectromechanical systems. ASME J. Tribol. 120 (1998), 808–813.
18. Komvopoulos, K., Ye, N., Three-dimensional contact analysis of elastic–plastic layered media with fractal surface topographies. ASME J. Tribol. 123 (2001), 632–640.
19. Kral, E.R., Komvopoulos, K., Bogy, D.B., Elastic–plastic finite element analysis of repeated indentation of a half-space by a rigid sphere. ASME J. Appl. Mech. 60 (1993), 829–841.
20. Knapp, J.A., Follstaedt, D.M., Myers, S.M., Barbour, J.C., Friedmann, T.A., Finite-element modeling of nanoindentation. J. Appl. Phys. 85 (1999), 1460–1474.
21. Marsh, D.M., Plastic flow in glass. Proc. R. Soc. London A 279 (1964), 420–435.
22. Mesarovic, S.D., Fleck, N.A., Spherical indentation of elastic–plastic solids. Proc. R. Soc. London A 455 (1999), 2707–2728.
23. Mesarovic, S.D., Johnson, K.L., Adhesive contact of elastic–plastic spheres. J. Mech. Phys. Solids 48 (2000), 2009–2033.
24. Ovcharenko, A., Halperin, G., Verberne, G., Etsion, I., In situ investigation of the contact area in elastic–plastic spherical contact during loading–unloading. Tribol. Lett. 25 (2007), 153–160.
25. Park, Y.J., Pharr, G.M., Nanoindentation with spherical indenters: finite element studies of deformation in the elastic–plastic transition regime. Thin Solid Films 447/448 (2004), 246–250.
26. Samuels, L.E., Mulhearn, T.O., An experimental investigation of the deformed zone associated with indentation hardness impressions. J. Mech. Phys. Solids 5 (1957), 125–134.
27. Tabor, D., The Hardness of Metals. 1951, Clarendon Press, Oxford, England.
28. Ye, N., Komvopoulos, K., Indentation analysis of elastic–plastic homogeneous and layered media: criteria for determining the real material hardness. ASME J. Tribol. 125 (2003), 685–691.