Under certain conditions, numerous internal surface cracks develop in pressurized thick-walled cylinders, both in the radial and longitudinal directions. For fatigue life assessment of such vessels, the 3-D interaction effects among these cracks on the prevailing stress intensity factors (SIFs) need evaluation. In Part I of this paper, radial crack arrays are considered exclusively. The mode I SIF distribution for a wide range of semi-circular and semi-elliptical cracks are evaluated. The 3-D analysis is performed via the finite element method with the submodeling technique, employing singular elements along the crack front. SIFs are evaluated for arrays of up to n = 180 cracks; for a wide range of crack depth to wall thickness ratios, a/t, from 0.05 to 0.6; and, for various ellipticities of the crack, i.e., the ratio of crack depth to semicrack length, a/c, from 0.2 to 2. Using a least-squares fit, two simple expressions for the most critical (n = 2) SIFs are obtained for sparse and dense crack arrays. The formulas, which are functions of a/t and a/c, are of very good engineering accuracy. The results clearly indicate that the SIFs are considerably affected by the interaction among the cracks in the array as well as the three-dimensionality of the problem. In Part II of this paper, the interaction effects between longitudinal coplanar cracks will be analyzed.
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August 1996
Research Papers
Three-Dimensional Interaction Effects in an Internally Multicracked Pressurized Thick-Walled Cylinder— Part I: Radial Crack Arrays
M. Perl,
M. Perl
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
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C. Levy,
C. Levy
Department of Mechanical Engineering, Florida International University, Miami, FL 33199
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J. Pierola
J. Pierola
Department of Mechanical Engineering, Florida International University, Miami, FL 33199
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M. Perl
The Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben-Gurion University of the Negev, Beer-Sheva, 84105, Israel
C. Levy
Department of Mechanical Engineering, Florida International University, Miami, FL 33199
J. Pierola
Department of Mechanical Engineering, Florida International University, Miami, FL 33199
J. Pressure Vessel Technol. Aug 1996, 118(3): 357-363 (7 pages)
Published Online: August 1, 1996
Article history
Received:
June 5, 1995
Revised:
December 21, 1995
Online:
February 11, 2008
Connected Content
A companion article has been published:
Three-Dimensional Interaction Effects in an Internally Multicracked Pressurized Thick-Walled Cylinder—Part II: Longitudinal Coplanar Crack Arrays
Citation
Perl, M., Levy, C., and Pierola, J. (August 1, 1996). "Three-Dimensional Interaction Effects in an Internally Multicracked Pressurized Thick-Walled Cylinder— Part I: Radial Crack Arrays." ASME. J. Pressure Vessel Technol. August 1996; 118(3): 357–363. https://doi.org/10.1115/1.2842200
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