Sharp indentation problems are examined based on finite element methods (FEMs) and self-similarity considerations. The analysis concerns classical elastic–plastic materials with low, or no, strain-hardening and especially the details of the behavior of the size of the plastic zone are at issue. The results are correlated using a single parameter, comprising both geometrical and mechanical properties, and compared with previously presented semi-analytical findings. The numerical analysis is restricted to cone indentation of elastic-ideally plastic materials.
Issue Section:
Technical Brief
References
1.
Johnson
, K. L.
, 1970
, “The Correlation of Indentation Experiments
,” J. Mech. Phys. Solids
, 18
(2
), pp. 115
–126
.2.
Johnson
, K. L.
, 1985
, Contact Mechanics
, Cambridge University Press
, Cambridge, UK
.3.
Tabor
, D.
, 1951
, Hardness of Metals
, Cambridge University Press
, Cambridge, UK
.4.
Atkins
, A. G.
, and Tabor
, D.
, 1965
, “Plastic Indentation in Metals With Cones
,” J. Mech. Phys. Solids
, 13
(3
), pp. 149
–164
.5.
Bhattachharya
, A. K.
, and Nix
, W. D.
, 1988
, “Finite Element Simulation of Indentation Experiments
,” Int. J. Solids Struct.
, 24
(9
), pp. 881
–891
.6.
Bhattachharya
, A. K.
, and Nix
, W. D.
, 1988
, “Analysis of Elastic and Plastic Deformation Associated With Indentation Testing of Thin Films on Substrates
,” Int. J. Solids Struct.
, 24
(12
), pp. 1287
–1298
.7.
Laursen
, T. A.
, and Simo
, J. C.
, 1992
, “A Study of the Mechanics of Microindentation Using Finite Elements
,” J. Mater. Res.
, 7
(3
), pp. 618
–626
.8.
Giannakopoulos
, A. E.
, Larsson
, P.-L.
, and Vestergaard
, R.
, 1994
, “Analysis of Vickers Indentation
,” Int. J. Solids Struct.
, 31
(19
), pp. 2679
–2708
.9.
Mesarovic
, S. D.
, and Fleck
, N. A.
, 2000
, “Spherical Indentation of Elastic–Plastic Solids
,” Int. J. Solids Struct.
, 37
, pp. 7071
–7091
.10.
Mesarovic
, S. D.
, and Fleck
, N. A.
, 1999
, “Frictionless Indentation of Dissimilar Elastic–Plastic Spheres
,” Proc. R. Soc. London, Ser. A
, 455
(1987
), pp. 2707
–2728
.11.
Larsson
, P.-L.
, 2001
, “Investigation of Sharp Contact at Rigid Plastic Conditions
,” Int. J. Mech. Sci.
, 43
(4
), pp. 895
–920
.12.
Larsson
, P.-L.
, 2004
, “On the Mechanical Behavior of Global Parameters in Material Characterization by Sharp Indentation Testing
,” J. Test. Eval.
, 32
(4
), pp. 310
–321
.13.
Mata
, M.
, Casals
, O.
, and Alcala
, J.
, 2006
, “The Plastic Zone Size in Indentation Experiments: The Analogy With the Expansion of a Spherical Cavity
,” Int. J. Solids Struct.
, 43
(20
), pp. 5994
–6013
.14.
ABAQUS
, 2008
, ABAQUS Manual v.6.7
, Hibbitt, Karlsson & Sorensen, Inc.
, Pawtucket, RI
.15.
Larsson
, P.-L.
, 2006
, “Modelling of Sharp Indentation Experiments: Some Fundamental Issues
,” Philos. Mag.
, 86
(33–35
), pp. 5155
–5177
.16.
Rydin
, A.
, and Larsson
, P.-L.
, 2012
, “On the Correlation Between Residual Stresses and Global Indentation Quantities: Equi-Biaxial Stress Field
,” Tribol. Lett.
, 47
(1
), pp. 31
–42
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