There is a numerical procedure for modeling autofrettage of thick-walled cylinders that incorporates the Bauschinger effect as a function of prior plastic strain and Von Mises’ yield criterion. In this paper the numerical procedure is extended to solve the analogous problem of a spherical, thick walled steel vessel. An equivalent new analytical solution for the case of a spherical vessel is also formulated. The analytical and numerical solutions are shown to be in close agreement. It is demonstrated numerically that a reautofrettage procedure, previously proposed for cylindrical vessels, may be extremely beneficial for spherical vessels. Additional commentary is provided on the limitations of certain analytic solutions.
Issue Section:
Research Papers
1.
Parker
, A. P.
, 2001, “Autofrettage of Open End Tubes—Pressures, Stresses, Strains and Code Comparisons
,” ASME J. Pressure Vessel Technol.
0094-9930, 123
, pp. 271
–281
.2.
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.
0094-9930, 121
, pp. 430
–437
.3.
Huang
, X.
, 2005, “A General Autofrettage Model of a Thick-Walled Cylinder Based on Tensile-Compressive Stress-Strain Curve of a Material
,” J. Strain Anal. Eng. Des.
0309-3247, 40
(6
), pp. 599
–608
.4.
Parker
, A. P.
, 2005, “Assessment and Extension of an Analytical Formulation for Prediction of Residual Stress in Autofrettaged Thick Cylinders
,” Paper No. PVP2005-71368, ASME Pressure Vessels and Piping Division Conference, July 17–21, 2005
, Denver, CO.5.
Hill
, R.
, 1967, The Mathematical Theory of Plasticity
, Oxford University Press
.6.
Adibi-Asl
, R.
, and Livieri
, P.
, 2007, “Analytical Approach in Autofrettaged Spherical Pressure Vessels Considering Bauschinger Effect
” ASME J. Pressure Vessel Technol.
0094-9930, 129
(3
), in press.7.
Parker
, A. P.
, 2004, “A Re-Autofrettage Procedure for Mitigation of Bauschinger Effect in Thick Cylinders
,” ASME J. Pressure Vessel Technol.
0094-9930, 126
, pp. 451
–454
.8.
Jahed
, H.
, Ahmadi
, B.
, and Shambouli
, M.
, 2006, “Re-autofrettage
,” ASME J. Pressure Vessel Technol.
0094-9930, 128
, pp, 223
–226
.9.
Jahed
, H.
, and Dubey
, R. N.
, 1997, “An Axisymmetric Method of Elastic-Plastic Analysis Capable of Predicting Residual Stress Field
,” ASME J. Pressure Vessel Technol.
0094-9930, 119
, pp. 264
–273
.10.
Parker
, A. P.
, Troiano
, E.
, Underwood
, J. H.
, and Mossey
, C.
, 2003, “Characterization of Steels Using a Revised Kinematic Hardening Model Incorporating Bauschinger Effect
,” ASME J. Pressure Vessel Technol.
0094-9930, 125
, pp. 277
–281
.11.
Troiano
, E.
, Parker
, A. P.
, Underwood
, J. H.
, and Mossey
, C.
, 2003, “Experimental Data, Numerical Fit and Fatigue Life Calculations Relating to Bauschinger Effect in High Strength Armament Steels
,” ASME J. Pressure Vessel Technol.
0094-9930, 125
, pp. 330
–334
.12.
Troiano
, E.
, Parker
, A. P.
, and Underwood
, J. H.
, 2004, “Mechanisms and Modeling Comparing HB7 and A723 High Strength Pressure Vessel Steels
,” ASME J. Pressure Vessel Technol.
0094-9930, 126
, pp. 473
–477
.Copyright © 2007
by American Society of Mechanical Engineers
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