Hardness tests are performed to determine not only hardness but also other properties such as strength, wear resistance, and deformation resistance. They are also performed to predict residual lifetime through analysis of the hardness reduction or hardness ratio. However, hardness tests require observation of the residual indentation, and for that reason are not widely used in industrial fields. This study thus examines obtaining Brinell hardness values without optical observation, using instead quantitative formulas and analyzing the relationship between the indentation depths from the indentation load-depth curve and mechanical properties such as the work-hardening exponent, yield strength, and elastic modulus on the basis of finite-element analysis.

1.
Malzbender
,
J.
, and
de With
,
G.
,
2000
, “
Energy Dissipation, Fracture Toughness and the Indentation Load-Displacement Curve of Coated Materials
,”
Surf. Technol.
,
135
, pp.
60
68
.
2.
Murty
,
K. L.
,
Mathew
,
M. D.
,
Wang
,
Y.
,
Shah
,
V. N.
, and
Haggag
,
F. M.
,
1998
, “
Nondestructive Determination of Tensile Properties and Fracture Toughness of Cold Worked A36 Steel
,”
Int. J. Pressure Vessels Piping
,
75
, pp.
831
840
.
3.
Ahn
,
J.-H.
, and
Kwon
,
D.
,
2001
, “
Derivation of Plastic Stress-Strain Relationship From Ball Indentation: Examination of Strain Definition and Pileup Effect
,”
J. Mater. Res.
,
16
, pp.
3170
3178
.
4.
Haggag, F. M., 1993, “In-Situ Measurements of Mechanical Properties Using Novel Automated Ball Indentation System,” ASTM STP 1204, Philadelphia, pp. 27–44.
5.
Asif
,
S. A. S.
,
Wahl
,
K. J.
, and
Colton
,
R. J.
,
1999
, “
Nanoindentation and Contact Stiffness Measurement Using Force Modulation With a Capacitive Load-Displacement Transducer
,”
Rev. Sci. Instrum.
,
70
, pp.
2408
2413
.
6.
Lucas, B. N., Oliver, W. C., and Swindeman, J. E., 1998, “The Dynamics of Frequency-Specific, Depth-Sensing Indentation Testing,” Fundamentals of Nanoindentation and Nanotribology, N. R. Moody et al., eds., MRS, Warrendale, PA, Vol. 522, pp. 3–14.
7.
Suresh
,
S.
, and
Giannakopoulos
,
A. E.
,
1998
, “
A New Method for Estimating Residual Stresses by Instrumented Sharp Indentation
,”
Acta Mater.
,
46
, pp.
5755
5767
.
8.
Lee
,
Y.-H.
, and
Kwon
,
D.
,
2002
, “
Residual Stresses in DLC/Si and Au/Si Systems: Application of a Stress-Relaxation Model to the Nanoindentation Technique
,”
J. Mater. Res.
,
17
, pp.
901
906
.
9.
Dieter, G. E., 1988, Mechanical Metallurgy, McGraw-Hill, London, p. 326.
10.
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.
,
7
, pp.
1564
1583
.
11.
Doerner
,
M. F.
, and
Nix
,
W. D.
,
1986
, “
A Method for Interpreting the Data From Depth-Sensing Indentation Instruments
,”
J. Mater. Res.
,
1
, pp.
601
616
.
12.
Norbury
,
A. L.
, and
Samuel
,
T.
,
1928
, “
The Recovery and Sinking-In or Piling-Up of Material in the Brinell Test, and the Effects of These Factors on the Correlation of the Brinell With Certain Other Hardness Tests
,”
J. Iron Steel Inst., London
,
117
, pp.
673
687
.
13.
Rhee, S. S., and McClintock, F. A., 1962, “On the Effect of Strain Hardening on Strain Concentrations,” Proc. 4th US Nat. Conf. Applied Mechanics, ASME, Berkeley California.
14.
Hill
,
R.
,
Storkers
,
B.
, and
Zdunek
,
A. B.
,
1989
, “
A Theoretical Study of the Brinell Hardness Test
,”
Proc. R. Soc. London, Ser. A
,
423
, pp.
301
330
.
15.
Matthews
,
J. R.
,
1980
, “
Indentation Hardness and Hot Pressing
,”
Acta Metall.
,
28
, pp.
311
318
.
16.
Taljat
,
B.
, and
Pharr
,
G. M.
,
1998
, “
Pile-Up Behavior of Spherical Indentations in Engineering Materials
,”
Mater. Res. Soc. Symp. Proc.
,
522
, pp.
33
38
.
17.
Alcala
,
J.
,
Barone
,
A. C.
, and
Anglada
,
M.
,
2000
, “
The Influence of Plastic Hardening on Surface Deformation Modes Around Vickers and Spherical Indents
,”
Acta Mater.
,
48
, pp.
3451
3464
.
18.
Malzbender
,
J.
, and
de With
,
G.
,
2002
, “
Indentation Load-Displacement Curve, Plastic Deformation, and Energy
,”
J. Mater. Res.
,
17
, pp.
502
511
.
19.
Stiwell
,
N. A.
, and
Tabor
,
D.
,
1961
, “
Elastic Recovery of Conical Indentations
,”
Proc. Phys. Soc. London
,
2
, pp.
169
180
.
20.
Cai
,
X.
, and
Zhou
,
P. N.
,
1992
, “
Influence of Elastic Recovery on Microindentation Hardness—A Finite Element Analysis
,”
Scr. Metall. Mater.
,
27
, pp.
347
352
.
21.
Tabor, D., 1951, Hardness of Metals, Clarendon Press, Oxford, p. 2.
You do not currently have access to this content.