Using the Finite Element Method, an analysis is given of the indentation of an elasticplastic half-space by a rigid sphere. In particular, attention is focused on the effect of hardening rules on the material response. The materials considered are supposed to exhibit isotropic and kinematic hardening. Moreover, it is shown that the possibility of similar behavior due to effects of friction can be ruled out.

Issue Section:
Technical Papers
Topics:
Finite element analysis, Hardening, Finite element methods, Friction, Kinematics
1.
Atkins
A. G.
, and
Tabor
D. T.
,
1965
, “
Plastic Indentation in Metals with Cones
,”
J. Mech. Phys. Solids
, Vol.
13
, pp.
149
–
164
.
2.
Diegele
E.
,
Jansohn
W.
, and
Tsakmakis
Ch.
,
1995
, “
Integration of Finite Deformation Plasticity and Viscoplasticity Law Exhibiting Nonlinear Hardening Rules
,”
Proceedings of the ASME Materials Division
. Vol.
1
, pp.
449
–
467
.
3.
Diegele, E., Jansohn, W., and Tsakmakis, Ch., 1996, “Viscoplasticity Using Dual Variables,” submitted for publication.
4.
Doerner
M. F.
, and
Nix
W. D.
,
1986
, “
A Method for Interpreting the Data from Depth-Sensing Indentation
,”
J. Mater. Res.
, Vol.
1
, pp.
601
–
609
.
5.
Field
J. S.
, and
Swain
M. V.
,
1993
, “
A Simple Predictive Model for Spherical Indentation
,”
J. Mater. Res.
, Vol.
8
, pp.
297
–
306
.
6.
Harding
J. W.
, and
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. Camb. Phil. Soc.
Vol.
43
, pp.
16
–
26
.
7.
Hertz
H.
,
1882
, “
U¨ber die Beru¨hrung fester elastischer Korper
,”
J. Reine Angew. Math.
, Vol.
92
, pp.
156
–
171
.
8.
Huber, N., Munz, D., and Tsakmakis. Ch., 1997, “Determination of Young,’ Modulus by Spherical Indentation,” J. Mater. Res., Vol. 12, No. 9.
9.
Johnson, K. L., 1985, Contact Mechanics, Oxford University Press.
10.
Komvopoulos
K.
,
1989
, “
Elastic-Plastic Finite Element Analysis of Indented Layered Media
,”
ASME Journal of Tribology
, Vol.
111
, pp.
430
–
439
.
11.
Kral
E. R.
,
Komvopoulos
K.
, and
Bogy
D. B.
,
1993
, “
Elastic-Plastic Finite Element Analysis of Repeated Indentation of a Half-Space by a Rigid Sphere
,”
ASME Journal of Applied Mechanics
, Vol.
60
, pp.
829
–
841
.
12.
Kral
E. R.
,
Komvopoulos
K.
, and
Bogy
D. B.
,
1995
, “
Finite Element Analysis of Repeated Indentation of an Elastic-Plastic Layered Medium by a Rigid Sphere, Part 1: Surface Results
,”
ASME Journal of Applied Mechanics
, Vol.
62
, pp.
20
–
28
.
13.
Kral
E. R.
,
Komvopoulos
K.
, and
Bogy
D. B.
,
1995
, “
Finite Element Analysis of Repeated Indentation of an Elastic-Plastic Layered Medium by a Rigid Sphere, Part II: Subsurface Results
,”
ASME Journal of Applied Mechanics
, Vol.
62
, pp.
29
–
42
.
14.
Loubet, J. L., Georges, J. M., and Meille, G., 1985, “Vickers Indentation Curves of Elastoplastic Materials,” Blau, J. B. and B. R. Lawn, eds, Microindentation Techniques in Materials Science and Engineering. No. 889 in STP, American Society for Testing and Materials (ASTM), pp. 72–89.
15.
Mayo
M. J.
, and
Nix
W. D.
,
1988
, “
A Micro-Indentation Study of Superplasticity in Pb, Sn and Sn-38 wt.% Pb
,”
Acta Metall.
, Vol.
36
, pp.
2183
–
2192
.
16.
Murakami
Y.
, and
Matsuda
K.
,
1994
, “
Analysis of Vickers Hardness by the Finite Element Method
,”
ASME Journal of Applied Mechanics
, Vol.
61
, pp.
822
–
828
.
17.
Murakami
Y.
, and
Yuan
L. P.
,
1992
, “
Finite Element Method (FEM) Analysis of Elastic-Linear-Hardening Materials and Comparison with Measurements on Commercial Materials
,”
ASME Journal of Applied Mechanics
, Vol.
20
, pp.
15
–
24
.
18.
Oliver
W. C.
, and
Pharr
G. M.
,
1992
, “
An Improved Technique for Determining Hardness and Elastic Modulus Using Load and Displacement Sensing Indentation Experiments
,”
J. Mater. Res.
, Vol.
7
, pp.
1564
–
1583
.
19.
Pharr
G. M.
,
Oliver
W. C.
, and
Brotzen
F. R.
,
1992
, “
On the Generality of the Relationship Among Contact Stiffness, Contact Area, and Elastic Modulus During Indentation
,”
J. Mater. Res
, Vol.
7
,
613
–
617
.
20.
Tabor, D., 1951, Hardness of Metals, Cambridge University Press.
21.
Raman
V.
, and
Berriche
R.
,
1992
, “
An Investigation of the Creep Process in Tin and Aluminium Using a Depth-Sensing Indentation Technique
,”
J. Mater. Res.
, Vol.
7
, pp.
627
–
638
.
This content is only available via PDF.
Copyright © 1998
 by The American Society of Mechanical Engineers
You do not currently have access to this content.