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TECHNICAL PAPERS

Analysis of Uniform Arrays of Three-Dimensional Unequal-Depth Cracks in a Thick-Walled Cylindrical Pressure Vessel

[+] Author and Article Information
M. Perl, B. Ostraich

Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel

J. Pressure Vessel Technol 125(4), 425-431 (Nov 04, 2003) (7 pages) doi:10.1115/1.1613946 History: Received August 02, 2002; Revised March 15, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

Pu, S. L., 1984, “Stress Intensity Factors for a Circular Ring with Uniform Array of Radial Cracks of Unequal Depth,” ARLCB-TR-84021, US Army Armament Research & Development Center, Watervliet, NY.
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.
Pu, S. L., 1986, “Stress Intensity Factors for a Circular Ring with Uniform Array of Radial Cracks of Unequal Depth,” ASTM STP 905, pp. 559–572.
Desjardins,  J. L., Burns,  D. J., Bell,  R., and Thompson,  J. C., 1991, “Stress Intensity Factors for Unequal Longitudinal-Radial Cracks in Thick-Walled Cylinders,” ASME J. Pressure Vessel Technol., 113, pp. 22–27.
Aroné,  R., and Perl,  M., 1989, “Influence of Autofrettage on the Stress Intensity Factors for a Thick-Walled Cylinder with Radial Cracks of Unequal Length,” Int. J. Fract., 39, pp. R29–R34.
Perl,  M., Wu,  K. H., and Aroné,  R., 1990, “Uniform Arrays of Unequal-Depth Cracks in Thick-Walled Cylindrical Pressure Vessels: Part I—Stress Intensity Factors Evaluation,” ASME J. Pressure Vessel Technol., 112, pp. 340–345.
Perl,  M., and Alperowitz,  D., 1997, “The Effect of Crack Length Unevenness on Stress Intensity Factors Due to Autofrettage in Thick-Walled Cylinders,” ASME J. Pressure Vessel Technol., 119, pp. 274–278.
Perl,  M., Levy,  C., and Pierola,  J., 1996, “Three Dimensional Interaction Effects in an Internally Multicracked Pressurized Thick-Walled Cylinder: Part I—Radial Crack Arrays,” ASME J. Pressure Vessel Technol., 118, pp. 357–363.
Perl,  M., and Nachum,  A., 2000, “3-D Stress Intensity Factors for Internal Cracks in an Over-Strained Cylindrical Pressure Vessel: Part I—The Effect of Autofrettage Level,” ASME J. Pressure Vessel Technol., 122(4), pp. 421–426.
Perl,  M., and Nachum,  A., 2001, “3-D Stress Intensity Factors for Internal Cracks in an Over-Strained Cylindrical Pressure Vessel: Part II—The Combined Effect of Pressure and Autofrettage,” ASME J. Pressure Vessel Technol., 123(1), pp. 135–138.
Perl,  M., and Greenberg,  Y., 1999, “Three Dimensional Analysis of Thermal Shock Effect on Inner Semi-Elliptical Surface Cracks in a Cylindrical Pressure Vessel,” Int. J. Fract., 99(3), pp. 163–172.
ANSYS 6.1 Complete User’s Manual Set, 2002, ANSYS, Inc.
Barsom,  R. S., 1976, “On the Use of Isoparametric Finite Elements in Linear Fracture Mechanics,” Int. J. Numer. Methods Eng., 10(1), pp. 25–37.
Banks-Sills,  L., and Sherman,  D., 1986, “Comparison of Methods for Calculating Stress Intensity Factors With Quarter-Point Elements,” Int. J. Fract., 32, pp. 127–140.

Figures

Grahic Jump Location
Schematic of the multicracked cylinder
Grahic Jump Location
The multicracked cylinder: (a) segment containing two unequal cracks: a1 and a2 are the crack depths of the fixed and varying crack subarrays, respectively; and (b) parametric angle φ defining the points on the crack front.
Grahic Jump Location
The normalized maximal SIF as a function of the varying crack depth for an array of n1+n2=32 cracks (a1/t=0.1,a1/c1=a2/c2=0.3)
Grahic Jump Location
(a–d)KP max/KO as a function of the varying crack depth for arrays of n1+n2=16,32,64,128 cracks (a1/t=0.1,a1/c1=a2/c2=0.3)
Grahic Jump Location
(a–d)KP max/KO as a function of the varying crack depth for arrays of n1+n2=64 cracks with fixed crack depths of a1/t=0.1, 0.17, 0.2, and 0.23 (a1/c1=a2/c2=1.5)
Grahic Jump Location
(a–d)KPmax/KO as a function of the varying crack depth for arrays of n1+n2=32 cracks, with ellipticities of a1/c1=0.3, 0.7, 1, and 1.5 (a1/t=0.15)
Grahic Jump Location
The relative size of the “interaction range” as a function of the number of cracks in the array, the fixed crack length, and ellipticity
Grahic Jump Location
The relative size of the “interaction range” as a function of the inter-crack aspect-ratio

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