The effect of crack length unevenness on the mode I stress intensity factors (SIFs) for large uniform arrays of radial cracks of unequal depth in fully or partially autofrettaged thick-walled cylinders is investigated. The analysis is based on the previously proposed “two-crack-length level model.” Values for KIA—the SIF due to the compressive residual stress field—for various crack arrays bearing n1 = n2 = 2−512 cracks, a wide range of nondimensional crack lengths l1/a=0.010.1, and numerous levels of autofrettage ε = 30−100 percent are evaluated by the finite element method for a cylinder of radii ratio of b/a = 2. The interaction range for different combinations of crack arrays and crack length is then determined. The obtained results show that the unevenness in the SIFs depends on all three parameters, i.e., the number of cracks in the array, the cracks’ lengths, and the level of autofrettage, while the interaction range between adjacent cracks is determined only by the relative length of the cracks and the density of the array.

1.
Arone´
R.
, and
Perl
M.
,
1989
, “
Influence of Autofrettage on the Stress Intensity Factors for a Thick-Walled Cylinder with Radial Cracks of Unequal Length
,”
International Journal of Fracture
, Vol.
39
, pp.
R29–R34
R29–R34
.
2.
Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford, U.K.
3.
Parker
A. P.
, and
Farrow
J. R.
,
1980
, “
On the Equivalence of Axisymmetric Bending, Thermal, and Autofrettage Residual Stress Fields
,”
Journal of Strain Analysis
, Vol.
15
, No.
1
, pp.
51
52
.
4.
Perl
M.
, and
Arone´
R.
,
1988
, “
Stress Intensity Factors for a Radially Multicracked Partially Autofrettaged Pressurized Thick-Walled Cylinder
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
110
, pp.
147
154
.
5.
Perl
M.
,
Wu
K. H.
, and
Arone´
R.
,
1990
, “
Uniform Arrays of Unequal-Depth Cracks in Thick-Walled Cylindrical Pressure Vessels, Part I—Stress Intensity Factors Evaluation
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
112
, pp.
340
345
.
6.
Perl
M.
,
1992
, “
Stress Intensity Factor Approximate Formulae for Uniform Crack Arrays in Pressurized or Autofrettaged Cylinders
,”
Engineering Fracture Mechanics
, Vol.
43
(
5
), pp.
725
732
.
7.
Pu
S. L.
, and
Hussain
M. A.
,
1981
, “
Residual Stress Redistribution Caused by Notches and Cracks in a Partially Autofrettaged Tube
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
103
, pp.
302
306
.
8.
Pu, S. L., and Hussain, M. A., 1983, “Stress Intensity Factors for Radial Cracks in a Partially Autofrettaged Thick-Walled Cylinder,” Fracture Mechanics: 14th Symposium, ASTM STP 791, American Society for Testing and Materials, Philadelphia, PA, pp. I-194-I-215.
9.
Pu, S. L., 1985, “Stress Intensity Factors at Radial Cracks of Unequal Depth in Partially Autofrettaged, Pressurized Cylinders,” ARLCB-TR-85018, US Army Armament Research & Development Center, Watervliet, NY.
This content is only available via PDF.
You do not currently have access to this content.