Hydraulic Versus Swage Autofrettage and Implications of the Bauschinger Effect

[+] Author and Article Information
A. P. Parker

Engineering Systems Department, Royal Military College of Science, Cranfield University, Swindon, SN8 6LA, England

G. P. O’Hara, J. H. Underwood

US Army Armament Research, Development and Engineering Center, Benét Laboratories, Watervliet, NY 12189

J. Pressure Vessel Technol 125(3), 309-314 (Aug 01, 2003) (6 pages) doi:10.1115/1.1593079 History: Received November 03, 2001; Revised May 06, 2003; Online August 01, 2003
Copyright © 2003 by ASME
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Parker,  A. P., Underwood,  J. H., and Kendall,  D. P., 1999, “Bauschinger Effect Design Procedures for Autofrettaged Tubes Including Material Removal and Sachs’ Method,” ASME J. Pressure Vessel Technol., 121, pp. 430–437.
Parker, A. P., Troiano, E., Underwood, J. H., and Mossey, C., 2001, “Characterization of Steels Using a Revised Kinematic Hardening Model Incorporating Bauschinger Effect,” ASME J. of Pressure Vessel Technology, accepted for publication.
Hill, R., 1967, The Mathematical Theory of Plasticity, Oxford University Press.
Parker,  A. P., and Farrow,  J. R., 1980, “On the Equivalence of Axi-Symmetric Bending, Thermal and Autofrettage Residual Stress Fields,” J. Strain Anal. Eng. Des., 15, pp. 51–52.
Parker, A. P., Underwood, J. H., Throop, J. F., and Andrasic, C. P., 1983, “Stress Intensity and Fatigue Crack Growth in a Pressurized, Autofrettaged Thick Cylinder,” American Society for Testing and Materials 14th Nat Symp on Fracture Mechanics, UCLA, ASTM STP 791, pp. 216–237.
Paris,  P. C., and Erdogan,  F., 1963, “A Critical Analysis of Crack Propagation Laws,” J. Basic Eng., 85, pp. 528–534.
Andrasic, C. P., and Parker, A. P., 1984, “Dimensionless Stress Intensity Factors for Cracked Thick Cylinders Under Polynomial Crack Face Loadings,” Engineering Fracture Mechanics, 19 , pp. 187–193.
Andrasic, C. P., and Parker, A. P., 1982, “Spline Fit Weight Function Data for Cracked Thick Cylinders,” Royal Military College of Science Technical Note MAT/36, RMCS Shrivenham, Swindon, UK.
Adachi, J., and Baratta, F., 1967, “Comparative Evaluation of Swage-Autofrettage and Hydraulic-Autofrettage Processes,” Army Materials and Mechanics Research Center, Watertown, MA, Letter Report dated 26 September 1967.
Underwood,  J. H., Moak,  D. B., Audino,  M. A., and Parker,  A. P., 2001, “Yielding Tests and Analysis of Gun Tubes Following Autofrettage,” ASME J. Pressure Vessel Technol. 125, pp. 7–10.


Grahic Jump Location
Residual stresses in swage autofrettaged tube, b/a=2.79 (finite element solution without Bauschinger effect). Ideal Tresca solution shows only the near-bore analytic solution, Eq. (1), with β=1, to illustrate bound.
Grahic Jump Location
Schematic of uniaxial (equivalent stress) behavior, stress, strain, and Bauschinger effect factor (BEF). A-B-C-D-E represent initial autofrettage pressurization and de-pressurization. E-F-B represent re-pressurization.
Grahic Jump Location
Similarity of near-bore re-yielding post “Saturation” due to Bauschinger effect. Basic configuration, b/a=2.79, further configuration b/a=4.58.
Grahic Jump Location
Summary of hoop residual stresses in autofrettaged tube, b/a=2.79
Grahic Jump Location
Von Mises stress states at various re-pressurization levels, b/a=2.79



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