This note deals with the stress intensity factors (SIFs) for double edge half-circular-hole cracks in a rectangular sheet in tension by means of the displacement discontinuity method with crack-tip elements (a boundary element method) proposed recently by the author. Moreover, an empirical formula of the SIFs of the crack problem is presented and examined. It is found that the empirical formula is simple, yet accurate for evaluating the SIFs of the crack problem.

References

1.
Bowie
,
O. L.
, 1956, “
Analysis of an Infinite Plate Containing Radial Cracks Originating at the Boundary of an Internal Circular Hole
,”
J. Math. Phys.
,
35
, pp.
60
71
.
2.
Newman
,
J. C.
, Jr.
, 1971, “
An Improved Method of Collocation for the Stress Analysis of Cracked Plates With Various Shaped Boundaries
,” NASA Report No. TN D-6376, pp.
1
45
.
3.
Nisitani
,
N.
, and
Isida
,
M.
, 1982, “
Simple Procedure for Calculating KI of a Notch With a Crack of Arbitrary Size and its Application to Non-Propagating Fatigue Crack
,”
Proceedings of Joint JSME-SESA Conference on Experimental Mechanics
, Part I, pp.
150
155
.
4.
Tweed
,
J.
, and
Rooke
,
D. P.
, 1973, “
The Distribution of Stress Near the Tip of a Radial Crack at the Edge of a Circular Hole
,”
Int. J. Eng. Sci.
,
11
, pp.
1185
1195
.
5.
Isida
,
M.
, and
Nakamura
,
Y.
, 1980, “
Edge Cracks Originating From an Elliptical Hole in a Wide Plate Subjected to Tension and In-Plane Shear
,”
Trans. Jpn. Soc. Mech. Eng.
,
46
, pp.
947
956
.
6.
Murakami
,
Y.
, 1978, “
A Method of Stress Intensity Factor Calculation for the Crack Emanating From an Arbitrarily Shaped Hole or the Crack in the Vicinity of an Arbitrarily Shaped Hole
,”
Trans. Jpn. Soc. Mech. Eng.
44
(
378
), pp.
423
432
.
7.
Hasebe
,
N.
, and
Ueda
,
M.
, 1980, “
Crack Originating From a Corner of a Square Hole
,”
Eng. Fract. Mech.
,
13
, pp.
913
923
.
8.
Yan
,
X.
, 2005, “
An Efficient and Accurate Numerical Method of Stress Intensity Factor Calculation of a Branched Crack
,”
ASME J. Appl. Mech.
,
72
(
3
), pp.
330
340
.
9.
Yan
,
X.
, 2003, “
Analysis of the Interference Effect of Arbitrary Multiple Parabolic Cracks in Plane Elasticity by Using a New Boundary Element Method
,”
Comput. Methods Appl. Mech. Eng.
,
192
(
47–48
), pp.
5099
5121
.
10.
Yan
,
X.
, 2004, “
A Numerical Analysis of Perpendicular Cracks Under General In-Plane Loading With a Hybrid Displacement Discontinuity Method
,”
Mech. Res. Commun.
,
31
(
2
), pp.
175
183
.
11.
Yan
,
X.
, 2004, “
A Numerical Analysis of Cracks Emanating From a Square Hole in a Rectangular Plate Under Biaxial Loads
,”
Eng. Fract. Mech.
,
71
(
11
) pp.
1615
1623
.
12.
Yan
,
X.
, 2003, “
An Effective Method of Stress Intensity Factor Calculation for Cracks Emanating From a Triangular or Square Hole Under Biaxial Loads
,”
Fatigue Fract. Eng. Mater. Struct.
,
26
(
12
), pp.
1127
1133
.
13.
Yan
,
X.
, 2005, “
Stress Intensity Factors for Asymmetric Branched Cracks in Plane Extension by Using Crack-Tip Displacement Discontinuity Elements
,”
Mech. Res. Commun.
32
(
4
), pp.
375
384
.
14.
Yan
,
X.
, 2004, “
Analysis for a Crack Emanating From a Corner of a Square Hole in an Infinite Plate Using the Hybrid Displacement Discontinuity Method
,”
Appl. Math. Model.
,
28
(
9
), pp.
835
847
.
15.
Murakami
,
Y.
, 1987,
Stress Intensity Factors Handbook
,
Pergamon Press
,
New York
.
You do not currently have access to this content.