A Critical Examination of Sachs’ Material-Removal Method for Determination of Residual Stress

[+] Author and Article Information
Anthony P. Parker

Royal Military College of Science, Cranfield University, Swindon, SN6 8LA, England

J. Pressure Vessel Technol 126(2), 234-236 (May 05, 2004) (3 pages) doi:10.1115/1.1689357 History: Received November 12, 2003; Revised December 12, 2003; Online May 05, 2004
Copyright © 2004 by ASME
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Sachs,  G., 1927, “The Determination of Residual Stresses in Rods and Tubes,” Z. Metallk., 19, p. 352.
Beeuwkes, R., 1942, private communication and working sheets, Watertown Arsenal, MA.
Weiss, V., 1956, “Residual Stresses in Cylinders,” Report No. MET 345-563T2, Syracuse University Research Institute.
Davidson,  T. E., Kendall,  D. P., and Reiner,  A. N., 1963, “Residual Stresses in Thick-Walled Cylinders Resulting from Mechanically Induced Overstrain,” Exp. Mech., pp. 253–262.
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.
Bauschinger, J., 1881, “Ueber die Veranderung der Elasticitatagrenze und dea Elasticitatamoduls verschiadener Metalle,” Zivilingenieur, 27 , pp. 289–348.
Parker,  A. P., 2001, “Autofrettage of Open End Tubes—Pressures, Stresses, Strains, and Code Comparisons,” ASME J. Pressure Vessel Technol., 123, pp. 271–281.
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., 119, pp. 264–273.
Milligan,  R. V., Koo,  W. H., and Davidson,  T. E., 1966, “The Bauschinger Effect in a High Strength Steel,” ASME J. Basic Eng., 88, pp. 480–488.
Paris,  P. C., and Erdogan,  F., 1963, “A Critical Analysis of Crack Propagation Laws,” ASME J. Basic Eng., 85, pp. 528–534.
Hill, R., 1967, The Mathematical Theory of Plasticity, Oxford University Press.


Grahic Jump Location
Tangential strain function versus bore radius (a*) for k=2.0 and k=2.38. Discrete points from numerical analysis, continuous curves indicate polynomial fit, coefficients in Eqs. (4) and (5).
Grahic Jump Location
Predicted residual hoop stresses: nonlinear solution incorporating Bauschinger effect compared to Sachs–Beeuwkes procedure with linear-elastic analysis
Grahic Jump Location
Initial autofrettaged tube geometry




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