Optimum Design of Pressure Vessel Subjected to Autofrettage Process

Authors: Abu Rayhan Md. Ali, Nidul Ch. Ghosh, Tanvir-E-Alam

Abstract:

The effect of autofrettage process in strain hardened thick-walled pressure vessels has been investigated theoretically by finite element modeling. Equivalent von Mises stress is used as yield criterion to evaluate the optimum autofrettage pressure and the optimum radius of elastic-plastic junction. It has been observed that the optimum autofrettage pressure increases along with the working pressure. For two different working pressures, the effect of the ratio of outer to inner radius (b/a=k) value on the optimum autofrettage pressure is also noticed. The Optimum autofrettage pressure solely depends on K value rather than on the inner or outer radius. Furthermore, percentage reduction of von Mises stresses is compared for different working pressures and different k values. Maximum von Mises stress developed at different autofrettage pressure is equated for elastic perfectly plastic and elastic-plastic material with different slope of strain hardening segment. Cylinder material having higher slope of strain hardening segment provides better benedictions in the autofrettage process.

Keywords: Autofrettage, elastic plastic junction, pressure vessel, von Mises stress.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1083535

References:

[1] T.Z Blazinski, Applied elasto-plasticity of solids, Hong-Kong: Macmillan, 1983.
[2] GH Majzoobi, GH Farrahi, AH Mahmoudi, A finite element simulation and an experimental study of autofrettage for strain hardened thick-walled cylinders, J. Mater. Sci. Eng. A., vol. 359 pp. 326-31, 2003.
[3] PCT. Chen, Stress and deformation analysis of autofrettaged high pressure vessels, ASME special publication, vol. 110, PVP. New York: ASME United Engineering Center; pp. 61-71, 1986.
[4] G.J. Franklin, JLM. Morrison, Autofrettage of cylinders: prediction of pressure, external expansion curves and calculation of residual stresses Proceeding of institute of Mechanical Engineers, vol. 174, pp. 947-74, 1960.
[5] Nidul Ch. Ghosh, Tanvir-E-Alam, Theoretical and numerical optimization of autofrettage in strain hardened thick wall cylinders. BS.c. Engg. final project, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh, 2009.
[6] J.F. Harvey, Theory and design of pressure vessels, New York: Van Nostrand Reinhold Company Ltd., 1985.
[7] Brownell LE, Young EH. Process equipment design. New York: John Wiley & Sons, 1959.
[8] G. Yu, Chemical pressure vessel and equipment (in Chinese). Beijing: Chemical Industrial Press, 1980.
[9] E. David, An overview of advanced materials for hydrogen storage, Journal of Material Processing Technology, vol. 162-163, pp. 169- 177, 2005.
[10] H.H. Lee, J.H. Yoon, J.S. Park, Y.M. Yi, A study of failure characteristic of spherical pressure vessels, Journal of Material Processing Technology, vol. 164-165, pp. 882-888, 2005
[11] AP Boresi, OM. Sidebottom, FB Seely, JO Smith, Advanced Mechanics of Materials, 3rd edition. New York: John Wiley & Sons, 1978.
[12] F. Kong, Determining the optimum radius of the elastic-plastic juncture for thick-walled autofrettage cylinder by graphic method, (in Chinese), Petrochemical Equipment, 15:11, 1986.
[13] S. Timshenko, Strength of Materials, New York: Van Nostrand Reinhold Company Ltd, 1978.
[14] Ruilin Zhu, Jinlai Yang Autofrettage of thick cylinders, International Journal of Pressure Vessels and Piping, vol. 75 , pp. 443- 446, 1998.
[15] G.H. Majzoobi, A. Ghom Optimisation of autofrettage in thick walled cylinders of journal Achievements in Materials and Manufacturing Engineering volume 16 issue 1-2 may-Junes 2006.
[16] A. Ghomi, Optimum Design of Thick-walled Pressure Cylinders (in Persian), MS.c final project, Bu-Ali Sina University, Hammadan, Iran, 2005.
[17] GH. Majzoobi, A. Ghomi, Optimization of compound pressure cylinder, , Journal of Achievements in Materials and Manufacturing Engineering, In press, 2006.