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TECHNICAL PAPERS

Erosions and Their Effect on the Fatigue Life of Thick Walled, Autofrettaged, Pressurized Vessels

[+] Author and Article Information
C. Levy

Dept. of Mechanical Engineering, Florida International University, Miami, FL 33199

M. Perl

Pearlstone Center for Aeronautical Studies, School of Engineering Sciences, Ben Gurion University of the Negev, Beer Sheva 84105 Israel

Q. Ma

Mechanical Engineering Department, Carnegie-Mellon University, Pittsburgh, PA 15213

J. Pressure Vessel Technol 125(3), 242-247 (Aug 01, 2003) (6 pages) doi:10.1115/1.1593698 History: Received March 12, 2003; Revised April 23, 2003; Online August 01, 2003
Copyright © 2003 by ASME
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References

Levy,  C., Perl,  M., and Fang,  H., 1998, “Cracks Emanating From an Erosion in a Pressurized Autofrettaged Thick-Walled Cylinder. Part I: Semi-Circular and Arc Erosions,” ASME J. Pressure Vessel Technol., 120, pp. 354–358.
Perl,  M., Levy,  C., and Fang,  H., 1998, “Cracks Emanating From an Erosion in a Pressurized Autofrettaged Thick-Walled Cylinder. Part II: Erosion Depth and Ellipticity Effects,” ASME J. Pressure Vessel Technol., 120, pp. 359–364.
Perl,  M., Levy,  C., and Bu,  J., 1999, “Three Dimensional Erosion Geometry Effects on the Stress Intensity Factors of an Inner Crack Emanating From an Erosion in an Autofrettaged Pressurized Thick-Walled Cylinder,” ASME J. Pressure Vessel Technol., 121, pp. 209–215.
Levy, C., Perl, M., and Ma, Q., 1999, “The Influence of Multiple Axial Erosions on The Fatigue Life of Autofrettaged Pressurized Cylinders,” Proceedings of the PVP Conference, Boston, MA, PVP Vol. 384, pp. 162–168.
Levy, C., Perl, M., and Ma, Q., 2000, “Equispaced Multiple Axial Erosions’ Influence on the SIF of a 3-D Crack Emanating From the Most Dangerous Erosion in Autofrettaged Pressurized Cylinders,” The Mechanical Engineering Conference, Beer Sheva, ISRAEL.
Levy, C., Perl, M., and Ma, Q., 2001, “The Influence of a Finite Three Dimensional Multiple Axial Erosion on The Fatigue Life of Partially Autofrettaged Pressurized Cylinders,” Proceedings of the PVP Conference, Atlanta, GA, PVP Vol. 417, pp. 163–168.
Raju,  I. S., and Newman,  J. C., 1980, “Stress Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessels,” ASME J. Pressure Vessel Technol., 102, pp. 342–346.
Raju,  I. S., and Newman,  J. C., 1982, “Stress Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessel,” ASME J. Pressure Vessel Technol., 104, pp. 293–298.
Swanson Analysis System Inc., 1997, ANSYS 5.3 User Manual, Vol. II, Theory.
Barsoum,  R. S., 1976, “On the Use of Isoparametric Finite Element in Linear Fracture Mechanics,” Int. J. Numer. Methods Eng., 10, pp. 25–37.
Ingraffea,  A. R., and Manu,  C., 1980, “Stress Intensity Factor Computation in Three Dimensions With Quarter Point Elements,” Int. J. Numer. Methods Eng., 15, pp. 1427–1445.
Hussain,  M. A., Pu,  S. L., Vasilakis,  J. D., and O’Hara,  P., 1980, “Simulation of Partial Autofrettage by Thermal Loads,” ASME J. Pressure Vessel Technol., 102, pp. 314–325.
Hill, R., 1950, The Mathematical Theory of Plasticity, Clarendon Press, Oxford.
Perl,  M., and Arone,  R., 1988, “Stress Intensity Factors for a Radially Multicracked Partially-Autofrettaged Pressurized Thick-Wall Cylinder,” ASME J. Pressure Vessel Technol., 110, pp. 147–154.
Perl,  M., 1988, “The Temperature Field for Simulating Partial Autofrettage in an Elasto-Plastic Thick-Walled Cylinder,” ASME J. Pressure Vessel Technol., 110, pp. 100–102.
Shivakumar,  K. N., Tan,  P. W., and Newman,  J. C., 1988, “A Virtual Crack-Closure Technique for Calculating Stress Intensity Factors for Cracked Three Dimensional Bodies,” Int. J. Fract., 36, pp. R43–R50.

Figures

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(a) A half cylinder with three finite erosions and one crack. X–Y plane of symmetry is Z=0; (b) finite erosion front view.
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(a) The submodel used; (b) definition of the angle ϕ; (c) crack geometry—the wedge angle γ is 4 deg
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(a) Stresses in eroded cylinder (half of cylinder shown); (b) stresses in cylinder with nine erosions (half of cylinder shown)
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SCF versus erosion number Ro/Ri=2,d/h=1,d/t=0.10; α=12 deg
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SCFs versus erosion number Ro/Ri=2,d/h=1, α=12 deg
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Maximum KIeff versus erosion ellipticity (three erosions) d/t=0.05,a/t=0.05, α=12 deg
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Effective SIFs for an eroded pressurized autofrettaged cylinder r/t=0.05,d/t=0.05, α=12 deg
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Maximums of the KIeff versus erosion curvature (three erosions) d/t=0.05,a/t=0.05, α=30 deg
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Maximums of KIeff versus erosion ellipticity (three erosions) d/t=0.05,a/t=0.05, α=12 deg
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Maximums of KIeff versus erosion span angle (three erosions) d/t=0.05,d/h=1,a/t=0.05
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Maximums of KIeff versus erosion depth (three erosions) d/h=1,a/t=0.05, α=12 deg
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Maximums of KIeff versus crack depth (three erosions) d/t=0.05,d/h=1, α=7 deg
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(a) Normalized effective SIFs versus ϕ for a crack emanating from the farthest of three equidistant erosions; 30% autofrettage, d/t=0.05,d/h=1,a/c=0.5,a/t=0.05, α=12 deg; (b) normalized effective SIF’s versus ϕ for a crack emanating from the farthest of three equidistant erosions; 60% autofrettage, d/t=0.05,d/h=1,a/c=1.5,a/t=0.05, α=12 deg
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Maximum normalized effective SIFs versus Le/L for a crack emanating from the farthest of three equidistant erosions, 30% and 60% autofrettage, d/t=0.05,d/h=1,a/t=0.05, α=12 deg
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Maximum normalized SIFs versus Le/L for a crack emanating from the farthest of three equidistant erosions, 30% and 60% autofrettage, d/t=0.05,a/c=1,a/t=0.05, α=12 deg
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Maximum normalized effective SIFs versus span angle for a crack emanating from the farthest of three erosions; 30% autofrettage, d/t=0.05,d/h=1,a/t=0.15,Le/L=0.4
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Maximum normalized effective SIFs versus crack depth for one crack and three erosions; 30% autofrettage, d/t=0.05,d/h=1,a/t=0.15,Le/L=0.4, α=7 deg

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