A method of three-dimensional identification of a semi-elliptical surface crack by direct-current electrical potential difference method with a multiple-probe sensor was proposed and its validity was numerically examined. The condition of the surface crack embedded in a conductive plate was specified by the two-dimensional location of the crack center, length, and depth of the crack, and the surface and inward angles of the crack plane. Identification was carried out based on the distribution of the electrical potential difference around the crack measured on the surface of the plate with the “multiple-probe sensor” which is composed of many probes aligned in two orthogonal directions. The location and surface angle were evaluated using the point symmetry of the potential difference distribution. The inward angle was determined by the magnitude of symmetry of potential difference distribution with reference to the evaluated crack line. Finally, length and depth of the crack were determined using the exact solution of potential difference for an inclined inner elliptical crack which yields similar potential difference to that of the inclined semi-elliptical surface crack. The validity of the method was numerically confirmed by carrying out the evaluation based on the result obtained by finite element analysis.

1.
Tada
,
N.
, 2002, “
Potential Difference Method for Non-Destructive Evaluation of Defects and Materials
,”
Journal of the Japanese Society for Non-Destructive Inspection
,
51
(
5
), pp.
258
264
, in Japanese.
2.
Tada
,
N.
, 1992, “
Monitoring of a Surface Crack in a Finite Body by Means of Electrical Potential Technique
,”
Int. J. Fract.
0376-9429,
57
(
3
), pp.
199
220
.
3.
Tada
,
N.
,
Hayashi
,
Y.
,
Kitamura
,
T.
, and
Ohtani
,
R.
, 1997, “
Analysis on the Applicability of Direct Current Electrical Potential Method to the Detection of Damage by Multiple Small Internal Cracks
,”
Int. J. Fract.
0376-9429,
85
(
1
), pp.
1
9
.
4.
Tada
,
N.
,
Hayashi
,
Y.
,
Kitamura
,
T.
, and
Ohtani
,
R.
, 1998, “
Analysis of Direct Current Potential Difference in a Multiple-Cracked Material
,”
JSME Int. J., Ser. A
1340-8046,
41
(
3
), pp.
372
379
.
5.
Tada
,
N.
,
Nakayama
,
E.
,
Kitamura
,
T.
, and
Ohtani
,
R.
, 2000, “
Analysis of Direct Current Potential Field around Multiple Spherical Defects
,”
JSME Int. J., Ser. A
1340-8046,
43
(
2
), pp.
109
116
.
6.
Harrington
,
D. S.
, and
Bell
,
R.
, 1993, “
A Mobile DCPD Probe Arrangement for Improved Crack Profile Measurements
,”
Br. J. Non-Destr. Test.
0007-1137,
35
(
9
), pp.
497
501
.
7.
Oppermann
,
W.
,
Hofstotter
,
P.
, and
Keller
,
H. P.
, 1997, “
Long-Term Installations of the DC-Potential Drop Method in Four Nuclear Power Plants and the Accuracies Thereby Obtained for Monitoring of Crack Initiation and Crack Growth
,”
Nucl. Eng. Des.
0029-5493,
174
(
3
), pp.
287
292
.
8.
Enmark
,
M.
,
Lucas
,
G.
, and
Odette
,
G. R.
, 1992, “
An Electric Potential Drop Technique for Characterizing Part-Through Surface Cracks
,”
J. Nucl. Mater.
0022-3115,
191–194
(
2
), pp.
1038
1041
.
9.
Beavers
,
C. J.
, ed., 1980,
The Measurement of Crack Length and Shape During Fracture and Fatigue
,
Engineering Materials Advisory Services
,
Warley, West Midlands, UK
, pp.
85
284
.
10.
Tada
,
N.
, and
Nakayama
,
E.
, 1999, “
Evaluation of Size, Shape and Location of a Semi-Elliptical Surface Crack Using Direct Current Electrical Potential Method
,”
Journal of the Japanese Society for Non-Destructive Inspection
48
(
10
), pp.
697
704
, in Japanese.
11.
Belding
,
W. G.
, ed., 1983,
ASM Handbook of Engineering Mathematics
,
American Society for Metals
,
International Metals Park, OH
, pp.
20
21
.
12.
Hoct Systems co., Ltd., 2004,
Manual of FEMLEEG
, Kyoto, Japan, in Japanese.
13.
Tada
,
N.
,
Iwamoto
,
J.
, and
Okada
,
M.
, 2006, “
Experimental Study of Three-Dimensional Identification of Surface Crack by Means of Direct-Current Electrical Potential Difference Method of Multiple-Point Measurement Type
,”
Trans. Jpn. Soc. Mech. Eng., Ser. A
0387-5008,
72
(
715
), pp.
332
339
, in Japanese.
You do not currently have access to this content.