The inverse problem of evaluating mechanical properties of material from the observed values of load and deflection of a miniature disk bending specimen is discussed in this paper. It involves analysis of large amplitude, elasto-plastic deformation considering contact and friction. The approach in this work is to first generate—by a finite element (FE) solution—a large database of load-displacement (P-w) records for varying material properties. An artificial neural network (ANN) is trained with some of these data. The errors in the various values of the parameters during testing with additional known data were found to be reasonably small.

References

1.
Husain
,
A.
,
Sehgal
,
D. K.
, and
Pandey
,
R. K.
,
2004
, “
An Inverse Finite Element for the Determination of Constitutive Tensile Behavior of Materials Using Miniature Specimen
,”
Comp. Mater. Sci.
,
31
, pp.
84
92
.10.1016/j.commatsci.2004.01.039
2.
Manahan
,
M. P.
,
Browning
,
A. E.
,
Argon
,
A. S.
, and
Harling
,
O. K.
,
1986
, “
The Use of Small-Scale Specimens for Testing Irradiated Materials
,” ASTM STP 888, American Society for Testing and Materials, Philadelphia, PA, p. 17.
3.
Xu
,
Y.
, and
Zhao
,
Z.
,
1995
, “
A Modified Miniature Disk Test for Determining Material Mechanical Properties
,”
J. Test. Eval.
,
23
(
4
), pp.
300
306
.10.1520/JTE10429J
4.
Song
,
S. H.
,
Faulkner
,
R. G.
,
Flewitt
,
P. E. J.
,
Marmy
,
P.
, and
Weng
,
L. Q.
,
2004
, “
Small Punch Test Evaluation of Neutron-Irradiation-Induced Embrittlement of a Cr-Mo Low-Alloy Steel
,”
Mater. Charact.
,
53
, pp.
35
41
.10.1016/j.matchar.2004.07.006
5.
Huang
,
F. H.
,
Hamilton
,
M. L.
, and
Wire
,
G. L.
,
1982
, “
Bend Testing for Miniature Disks
,”
Nucl. Technol.
,
57
, pp.
232
242
.
6.
Mao
,
X.
,
Shoji
,
T.
, and
Takahashi
,
H.
,
1987
, “
Characterisation of Fracture Behaviour in Small Punch Test by Combined Recrystallization–Etch Method and Rigid Plastic Analysis
,”
J. Test. Eval.
,
15
(
1
), pp.
30
37
.10.1520/JTE11549J
7.
Isselin
,
J.
,
Iost
,
A.
,
Golek
,
J.
,
Najjar
,
D.
, and
Bigerelle
,
M.
,
2006
, “
Assessment of the Constitutive Law by Inverse Methodology: Small Punch Test and Hardness
,”
J. Nucl. Mater.
,
352
, pp.
97
106
.10.1016/j.jnucmat.2006.02.076
8.
Campitelli
,
E. N.
,
Spatig
,
P.
,
Bonade
,
R.
,
Hoffelner
,
W.
, and
Victoria
,
M.
,
2004
, “
Assessment of the Constitutive Properties From Small Ball Punch Test: Experiment and Modeling
,”
J. Nucl. Mater.
,
335
, pp.
366
378
.10.1016/j.jnucmat.2004.07.052
9.
Nicola
,
B.
,
Bonara
,
N.
,
Gentile
,
D.
,
Pirondi
,
A.
, and
Newaz
,
G.
,
2005
, “
Ductile Damage Evolution Under Triaxial State of Stress: Theory and Experiments
,”
Int. J. Plast.
,
21
, pp.
981
1007
.10.1016/j.ijplas.2004.06.003
10.
Muller
,
B.
, and
Reinhardt
,
J.
,
1991
,
Neural Networks: An Introduction
,
Springer-Verlag
,
Berlin
.
11.
Vishnu
,
V.
,
Ghosh
,
A. K.
,
Behera
,
G.
,
Kamal
,
S.
, and
Singh
R. K.
,
2008
, “
Elasto-Plastic Analysis of a Miniature Circular Disk Bending Specimen
,”
ASME J. Pressure Vessel Technol.
,
130
(
4
),
p. 041205
10.1115/1.2967812.
12.
Ghosh
,
A. K.
,
Behera
,
G.
, and
Verma
,
V.
,
2006
, “
An Artificial Neural Network Model to Predict Material Characteristics From the Results of Miniature Circular Disk Bending Tests
,” IMECE2006-14329 ASME Mechanical Engineering Congress 2006 Chicago, Illinois, Nov. 5–10,
2006
.
13.
Timoshenko
,
S. P.
,
1982
,
Theory of Elasticity
, 3rd ed.,
McGraw-Hill Book Company
,
New York
.
14.
Timoshenko
,
S. P.
, and
Woinowsky-Kreiger
,
S.
,
1959
,
Theory of Plates and Shells
, 2nd ed.,
McGraw-Hill Book Company
,
New York
.
15.
Fleury
,
E.
, and
Ha
,
J. S.
,
1998
, “
Small Punch Tests to Estimate the Mechanical Properties of Steels for Steam Power Plant: I. Mechanical Strength
,”
Int. J. Pressure Vessels Piping
,
75
, pp.
699
706
.10.1016/S0308-0161(98)00074-X
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