The coalescence conditions of plastic zones are calculated for an edge crack and an internal crack in a semi-infinite sheet. The cracks and their plastic zones are treated as a fictitious crack, and integral equations are formulated on equilibrium of surface traction, no stress singularity at the crack tip, and zero crack face displacement at the coalesced point of plastic zones. The integral equations are iteratively solved, and critical values of remote stress, plastic zone sizes, and crack tip opening displacements are determined. Numerical results for an edge crack and an internal crack due to remote stress are presented. [S0094-9930(00)00301-2]

1.
Hartranft, R. J., and Sih, G. C., 1973, “Alternating Method Applied to Edge and Surface Crack Problems,” Methods of Analysis and Solutions of Crack Problems, Noordhoff International Publishing, pp. 179–238.
2.
Tada, H., Paris, P. C., and Irwin, G. R., 1985, The Stress Analysis of Cracks Handbook, 2nd Edition, Paris Productions Incorporated (and Del Research Corporation).
3.
Nishimura
,
T.
,
1995
, “
Collinear Internal Cracks and Edge Crack in a Semi-Infinite Sheet Subjected to Arbitrary Tractions
,”
ASME J. Pressure Vessel Technol.
,
117
, pp.
256
259
.
4.
Nishimura, T., and Sasajima, M., 1990, “Coalescence Criteria for Coplanar Multiple Surface Cracks,” JSASS 28th Aircraft Symposium, National Education Center, Tokyo, Japan, pp. 72–75.
5.
Swift
,
T.
,
1994
, “
Damage Tolerance Capability
,”
Int. J. Fatigue
,
16
, No.
1
, pp.
75
94
.
6.
Isida
,
M.
, and
Tsunada
,
T.
,
1979
, “
1 Chokusenjou ni Ninni ni Bunpu suru Kiretsugunn no Dugdale Soseiiki (Dai 1 pou, 1 Chokusenjou no 2 ko no Kiretsu) (in Japanese)
,”
Trans. Jpn. Soc. Mech. Eng., Ser. A
,
45
, pp.
346
354
.
7.
Dugdale
,
D. S.
,
1960
, “
Yielding of Steel Sheets Containing Slits
,”
J. Mech. Phys. Solids
,
8
, pp.
100
104
.
8.
Rice
,
J. R.
,
1968
, “
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
,”
ASME J. Appl. Mech.
,
35
, pp.
379
386
.
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