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TECHNICAL PAPERS

The Influence of Finite Three-Dimensional Multiple Axial Erosions on the Fatigue Life of Partially Autofrettaged Pressurized Cylinders

[+] Author and Article Information
C. Levy

Center for Engineering and Applied Science, Department of Mechanical Engineering, Florida International University, Miami, FL 33199

M. Perl

Mechanical Engineering Department and Dean of Engineering Sciences, Pearlstone Center for Aeronautical Engineering Studies, 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(4), 379-384 (Nov 04, 2003) (6 pages) doi:10.1115/1.1616582 History: Received April 20, 2003; Revised June 02, 2003; Online November 04, 2003
Copyright © 2003 by ASME
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References

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, PVP Vol. 384, ASME, New York, pp. 162–168.
Levy, C., Perl, M., and Ma, Q., 2000, “The Influence of a Finite Three Dimensional Multiple Axial Erosion on The Fatigue Life of Partially Autofrettaged Pressurized Cylinders,” Proceedings of the PVP Conference, PVP Vol. 417, ASME, New York, pp. 163–168.
Becker,  A. A., Plant,  R. C. A., and Parker,  A. P., 1993, “Axial Cracks in Pressurized Eroded Autofrettage Thick Cylinders,” Int. J. Fract., 63, pp. 113–134.
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.
Parker, A. P., Plant, R. C. A., and Becker, A. A., 1993, “Fatigue Lifetimes for Pressurized Eroded Cracked Autofrettage Thick Cylinders,” Fracture Mechanics: Twenty-Third Symposium, ASTM STP 1189, Ravinder Chona, ed., ASTM, Philadelphia, PA, pp. 461–473.
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.
Underwood,  J. H., and Parker,  A. P., 1995, “Fatigue Life Analyses and Tests for Thick-Wall Cylinders Including Effects of Overstrain and Axial Grooves,” ASME J. Pressure Vessel Technol., 117, pp. 222–226.
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, Houston, PA.
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. Frac., 36, pp. R43–R50.

Figures

Grahic Jump Location
(a) A half cylinder with three finite erosions and one crack. X-Y plane of symmetry is Z=0; and (b) cylinder front view showing finite erosions and crack.
Grahic Jump Location
(a) The submodel used; (b) definition of the angle ϕ; and (c) crack geometry-the crack wedge angle γ is 4 deg.
Grahic Jump Location
(a) Normalized SIFs versus ϕ for a crack emanating from the farthest of three equidistant erosions: 100% Autofrettage, d/t=0.05,d/h=1,a/c=0.5,a/t=0.05,α=12 deg; (b) Normalized effective SIFs versus ϕ for a crack emanating from the farthest of 3 equidistant erosions; 30% autofrettage, d/t=0.05,d/h=1,a/c=0.5,a/t=0.05, α=12 deg; and (c) Normalized effective SIFs versus ϕ for a crack emanating from the farthest of 3 equidistant erosions; 60% autofrettage, d/t=0.05,d/h=1,a/c=1.5,a/t=0.05, α=12 deg.
Grahic Jump Location
(a) Maximum normalized effective SIFs versus Le/c for a crack emanating from the farthest of three equidistant erosions: 30% autofrettage, d/t=0.05,d/h=1,a/t=0.05, α=12 deg; and (b) 60% autofrettage, d/t=0.05,d/h=1,a/t=0.05, α=12 deg.
Grahic Jump Location
(a) Maximum normalized SIFs versus Le/c for a crack emanating from the farthest of three equidistant erosions; 100% autofrettage, d/t=0.05,a/c=1,a/t=0.05, α=12 deg; (b) Maximum normalized effective SIFs versus Le/c for a crack emanating from the farthest of three equidistant erosions; 30% autofrettage, d/t=0.05,a/c=1,a/t=0.05, α=12 deg; and (c) Maximum normalized effective SIFs versus Le/c for a crack emanating from the farthest of three equidistant erosions; 60% autofrettage, d/t=0.05,a/c=1,a/t=0.05, α=12 deg.
Grahic Jump Location
Maximum normalized effective SIFs versus α for a crack emanating from the farthest of three equidistant erosions: 30% autofrettage, d/t=0.05,d/h=1,a/t=0.15,Le/c=4.
Grahic Jump Location
Maximums of Normalized Effective SIFs versus crack depth for a crack emanating from the farthest of three equidistant erosions: 30% autofrettage, d/t=0.05,d/h=1,a/t=0.15,Le/c=4,α=7°.

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