Autofrettage is a technique for introducing beneficial residual stresses into cylinders. Both analytical and numerical methods are used for the analysis of the autofrettage process. Analytical methods have been presented only for special cases of autofrettage. In this work, an analytical framework for the solution of autofrettaged tubes with constant axial strain conditions is developed. Material behavior is assumed to be incompressible, and two different quadratic polynomials are used for strain hardening in loading and unloading. Clearly, elastic perfectly plastic and linear hardening materials are the special cases of this general model. This quadratic material model is convenient for the description of the behavior of a class of pressure vessel steels such as A723. The Bauschinger effect is assumed fixed, and the total deformation theory based on the von Mises yield criterion is used. An explicit solution for the constant axial strain conditions and its special cases such as plane strain and closed-end conditions is obtained. For an open-end condition, for which the axial force is zero, the presented analytical method leads to a simple numerical solution. Finally, results of the new method are compared with those obtained from other analytical and numerical methods, and excellent agreement is observed. Since the presented method is a general analytical method, it could be used for validation of numerical solutions or analytical solutions for special loading cases.
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e-mail: ehs@mech.sharif.edu
e-mail: farrahi@sharif.edu
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December 2009
Research Papers
An Analytical Framework for the Solution of Autofrettaged Tubes Under Constant Axial Strain Condition
E. Hosseinian,
E. Hosseinian
School of Mechanical Engineering,
e-mail: ehs@mech.sharif.edu
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Iran
Search for other works by this author on:
G. H. Farrahi,
G. H. Farrahi
School of Mechanical Engineering,
e-mail: farrahi@sharif.edu
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Iran
Search for other works by this author on:
M. R. Movahhedy
M. R. Movahhedy
School of Mechanical Engineering,
e-mail: movahhed@sharif.edu
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Iran
Search for other works by this author on:
E. Hosseinian
School of Mechanical Engineering,
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Irane-mail: ehs@mech.sharif.edu
G. H. Farrahi
School of Mechanical Engineering,
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Irane-mail: farrahi@sharif.edu
M. R. Movahhedy
School of Mechanical Engineering,
Sharif University of Technology
, P.O. Box 11155-9567, Tehran, Irane-mail: movahhed@sharif.edu
J. Pressure Vessel Technol. Dec 2009, 131(6): 061201 (8 pages)
Published Online: September 23, 2009
Article history
Received:
August 13, 2008
Revised:
January 20, 2009
Published:
September 23, 2009
Citation
Hosseinian, E., Farrahi, G. H., and Movahhedy, M. R. (September 23, 2009). "An Analytical Framework for the Solution of Autofrettaged Tubes Under Constant Axial Strain Condition." ASME. J. Pressure Vessel Technol. December 2009; 131(6): 061201. https://doi.org/10.1115/1.3148082
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