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Journal of Applied Sciences

Year: 2001 | Volume: 1 | Issue: 1 | Page No.: 44-51
DOI: 10.3923/jas.2001.44.51
Reverse Yielding and Bauschinger Effect on Residual Stresses in Thick-walled Cylinders
M. Moradi, A. Ghorbanpour, H. Khademizadeh and A. Loghman

Abstract: A thick- walled cylinder of isotropic, homogeneous, strain hardening material with closed ends, which is assumed obey Von-Mises yield criterion is considered in this study. Loading is also assumed to consist of a temperature gradient as well as an internal pressure. A generalized plane strain case in which the material obeys Von Mises criterion is studied. Von-Mises yield criterion is generalized as a function of several dimensionless variables such as thickness ratio, temperature gradient, inner pressure and radius. Critical conditions for a wide range of loading combinations and thickness ratios are investigated. After the critical condition is established, load is increased beyond the critical values, plastic stresses and progress of plastic zone are calculated using an incremental theory of plasticity. Results of residual stress distributions with an without the Bauschinger effect factor(BEF) are compared and the BEF on the predictions of reverse yielding is investigated. It is concluded that for specific cylinder (radii ratio β=2), subsequent residual stresses, for a 45% overstrained condition, are at the onset of reverse yielding when the BEF is taken into account; while residual stresses resulted from unloading the same cylinder at a fully plastic over strained condition exhibit otherwise in the case of BEF is ignored.

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How to cite this article
M. Moradi, A. Ghorbanpour, H. Khademizadeh and A. Loghman, 2001. Reverse Yielding and Bauschinger Effect on Residual Stresses in Thick-walled Cylinders. Journal of Applied Sciences, 1: 44-51.

Keywords: cylinder, strain hardening material, reverse yielding, residual stress and autofrettage

REFERENCES

  • Blander, D.R., 1962. Elastoplastic thick-walled tubes of work-hardening material subject to internal and external pressure and to temperature gradients. J. Mech. Phys. Solider, 4: 83-103.


  • Derington, M.G., 1962. The onset of yield in a thick-walled cylinder subjected to uniform internal or external pressure and steady state heat flow. Int. J. Mech. Sci., 4: 83-103.
    CrossRef    


  • Hill, R., 1950. The Mathematical Theory of Plasticity. Oxford University Press, Oxford, pp: 106-114


  • Hussian, M.A., S.L. Pu, J.D. Vasikis and P. O`Hara, 1983. Simulation of partial autofrettage by thermal loads. J. Pres. Ves. Tech., 102: 314-318.


  • Niitsu, Y. and K. Ikegami, 1990. Effct of temperature variation on cyclic elastic-plastic behavior of SUS 304 stainless steel. J. Pres. Ves. Technol., 112: 152-152.
    Direct Link    


  • Peri, M., 1998. An imporoved split-ring method for measuring the level of autofrettage in thick-walled cylinders. J. Pres. Ves. Technol., 120: 69-73.
    Direct Link    


  • Rees, D.W.A., 1987. A theory of utofrettage whit application to creep and fatigue. Int. J. Pres. Ves. Piping, 30: 57-76.
    CrossRef    


  • Stacy, A. and G.A. Webster, 1988. Determination of residual stresses distribution in autofrettaged tubing. Int. J. Pres. Ves. Piping, 31: 205-220.
    CrossRef    


  • Sidebottom, O.M. and S.C. Chu, 1975. Bursting pressure of thick-walled cylinders subjected to internal and exterimental pressure, axial load and torsion. Exp. Mech., 15: 209-218.
    Direct Link    


  • Whalley, E., 1956. The design of pressure vessels subjected to thermal stress. Can. J. Technol., 34: 291-303.


  • Miligan, R.V., W.H. Koo and T.E. Davodson, 1966. The bauschinger effect in-high strength steel. J. Basic Eng., 88: 480-488.


  • Mohamed, A.L., M.M. Megahed, L.S. Bayoumi and M.Y.A. Younan, 1999. Applications of iterative elastic techniques for elastic-plastic analysis of pressure vessels. J. Pres. Ves. Technol., 121: 24-29.
    Direct Link    


  • Chen, P.C.T., 1986. The Bauschinger and hardening effect on residual stresses in an autofrettaged thick-walled cylinder. ASME J. Pres. Ves. Technol., 108: 108-112.

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