Abstract

This paper deals with elliptical hole-crack problems in an infinite plate subjected to internal pressure by using a hybrid displacement discontinuity method (a boundary element method). Numerical results of the stress intensity factors (SIFs) are given. Especially, a few dimensionless parameters are introduced and it is illustrated using some examples that the dimensionless parameters have theoretically a guidance role for hole-crack design in an explosive engineering.

References

1.
Murakami
,
Y.
,
Stress Intensity Factors Handbook
,
Pergamon
,
New York
,
1987
.
2.
Bowie
,
O. L.
, “
Analysis of an Infinite Plate Containing Radial Cracks Originating at the Boundary of an Internal Circular Hole
,”
J. Math. Phys.
,
35
,
1956
, pp.
60
71
.
3.
Newman
,
J. C.
, Jr.
, “
An Improved Method of Collocation for the Stress Analysis of Cracked Plates with Various Shaped Boundaries
,” NASA TN, D-6376,
1971
, pp.
1
45
.
4.
Nisitani
,
H.
, and
Isida
,
M.
, “
Simple Procedure for Calculating KI of a Notch with a Crack of Arbitrary Size and Its Application to Non-Propagating Fatigue Crack
,”
Proc. Joint JSME-SESA Conf. on Experimental Mechanics, Part I
,
1982
, pp.
150
155
.
5.
Murakami
,
Y.
, “
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 Shape Hole
,”
Trans. Japan Soc. Mech. Engrs.
, Vol.
44
, No.
378
,
1978
, pp.
423
432
. https://doi.org/10.1299/kikai1938.44.423
6.
Yan
,
X.
, “
An Efficient and Accurate Numerical Method of SIFs Calculation of a Branched Crack
,”
ASME J. Appl. Mech.
, Vol.
72
, No.
3
,
2005
, pp.
330
340
. https://doi.org/10.1115/1.1796449
7.
Crouch
,
S. L.
and
Starfield
,
A. M.
,
Boundary Element Method in Solid Mechanics, with Application in Rock Mechanics and Geological Mechanics
,
Allen & Unwin
,
London
,
1983
, pp.
1
220
.
8.
Scavia
,
C.
, “
A Numerical Technique for the Analysis of Cracks Subjected to Normal Compressive Stresses
,”
Int. J. Num. Methods Eng.
, Vol.
33
,
1992
, pp.
929
942
. https://doi.org/10.1002/nme.1620330504
9.
Yan
,
X.
Stress Intensity Factors for Asymmetric Branched Cracks in Plane Extension by Using Crack Tip Displacement Discontinuity Elements
,”
Mech. Res. Commun.
, Vol.
32
, No.
4
,
2005
, pp.
375
384
. https://doi.org/10.1016/j.mechrescom.2004.10.005
10.
Yan
,
X.
, “
A Numerical Analysis of Stress Intensity Factors at Bifurcated Cracks
,”
Eng. Failure Anal.
Vol.
13
, No.
4
,
2006
, pp.
629
637
. https://doi.org/10.1016/j.engfailanal.2004.12.043
11.
Pan
,
E.
, “
A General Boundary Element Analysis of 2-D Linear Elastic Fracture Mechanics
,”
Int. J. Fract.
, Vol.
88
,
1997
, pp.
41
59
. https://doi.org/10.1023/A:1007462319811
12.
Yan
,
X.
, “
Stress Intensity Factors for Cracks Emanating from a Triangular or Square Hole in an Infinite Plate by Boundary Elements
,”
Eng. Failure Anal.
, Vol.
12
, No.
3
,
2006
, pp.
362
375
. https://doi.org/10.1016/j.engfailanal.2004.09.008
13.
Yan
,
X.
, “
Numerical Analysis of Stress Intensity Factor for Two Kinds of Mixed-Mode Crack Specimens
,”
J. Strain Anal. Eng. Des.
, Vol.
41
, No.
1
,
2006
, pp.
9
18
. https://doi.org/10.1243/030932405X16133
14.
Yan
,
X.
, “
Cracks Emanating from Circular Hole or Square Hole in Rectangular Plate in Tension
,”
Eng. Fracture Mech.
, Vol.
73
, No.
12
,
2006
, pp.
1743
1754
. https://doi.org/10.1016/j.engfracmech.2006.02.003
15.
Charambides
,
P. G.
and
McMeeking
,
R. M.
, “
Finite Element Method Simulation of a Crack Propagation in a Brittle Microcracked Solid
,”
Mech. Mater.
, Vol.
6
,
1987
, pp.
71
87
. https://doi.org/10.1016/0167-6636(87)90023-8
16.
Huang
,
X.
and
Karihaloo
,
B. L.
, “
Interaction of Penny Shaped Cracks with a Half Plane Crack
,”
Int. J. Solids Struct.
, Vol.
25
,
1993
, pp.
591
607
.
17.
Yan
,
X.
, “
Analysis of the Interaction of Arbitrary Multiple Cracks in an Infinite Plate Interference Effect of Arbitrary Multiple Parabolic Cracks in Plane Elasticity by Using a New Boundary Element Method
,”
Comp. Methods Appl. Mech. Eng.
, Vol.
192
, Nos.
47-48
,
2003
, pp.
5099
5121
. https://doi.org/10.1016/j.cma.2003.07.002
18.
Yan
,
X.
, “
Interaction of Arbitrary Multiple Cracks in an Infinite Plate
,”
J. Strain Anal. Eng. Des.
, Vol.
39
, No.
3
,
2004
, pp.
237
244
. https://doi.org/10.1243/030932404323042669
19.
Yan
,
X.
, “
Microdefect Interacting with a Finite Main Crack
,”
J. Strain Anal. Eng. Des.
, Vol.
40
, No.
5
,
2005
, pp.
421
430
. https://doi.org/10.1243/030932405X16089
20.
Yan
,
X.
, “
Multiple Crack Fatigue Growth Modeling by Displacement Discontinuity Method with Crack-Tip Elements
,”
Appl. Math. Model.
, Vol.
30
, No.
6
,
2006
, pp.
489
508
. https://doi.org/10.1016/j.apm.2005.05.010
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