A recent formulation due to Huang and Cui provides an analytic method for calculating residual stresses in autofrettaged tubes exhibiting non-linear behavior (including Bauschinger effect) during manufacture. The formulation incorporates Von Mises criterion but is limited in its application to plane strain end conditions and an incompressible material (i.e. Poisson’s ratio 0.5) with a fixed unloading behavior. Comparisons indicate that, by selecting unloading behavior typical of that at the bore, the method produces reliable results for both A723 type steels and for steels which exhibit significant strain hardening and/or more dramatic Bauschinger effect. Numerical comparisons show that open-end, compressible conditions produce results which differ from the plane strain, incompressible case, but that these differences may be accurately corrected using a straightforward, pragmatic process. It is concluded that a simple modification of the Huang & Cui procedure may be used to perform extremely accurate straightforward spreadsheet calculations of residual stress in autofrettaged tubes manufactured from a wide range of steels under various end conditions. The Huang & Cui formulation also provides a reliable and highly accurate means for validating numerical formulations including Finite Element methods.
- Pressure Vessels and Piping Division
Assessment and Extension of an Analytical Formulation for Prediction of Residual Stress in Autofrettaged Thick Cylinders
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Parker, AP. "Assessment and Extension of an Analytical Formulation for Prediction of Residual Stress in Autofrettaged Thick Cylinders." Proceedings of the ASME 2005 Pressure Vessels and Piping Conference. Volume 5: High Pressure Technology, Nondestructive Evaluation, Pipeline Systems, Student Paper Competition. Denver, Colorado, USA. July 17–21, 2005. pp. 67-71. ASME. https://doi.org/10.1115/PVP2005-71368
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