Parametric investigation of autofrettage process in thick spherical vessel made of functionally graded materials

Document Type: Research Paper

Authors

1 هیات علمی

2 Islamic Azad University, Karaj Branch

Abstract

In this paper, the effect of autofrettage process parameters on the ultimate pressure that functionally graded spherical vessel can tolerate are investigated. FGM properties and autofrettage pressure are considered as important parameters. Assumptions are variation of properties of FGM in radial direction, the residual stress in the absence of Bauschinger effect with the operation of variable material property method for bilinear material and power law fraction distribution for FG vessel calculated. The stress distribution in loading phase is computed using projection method and rule of mixture for FGM and elastic solution for thick spherical vessel. In unloading phase the material behavior is assumed to be isotropic and residual stress computed by using superposition method for loading and unloading phase. For reloading phase the rules of linear mixture employed for estimating the ultimate strength of FGM. By assuming functionally graded material properties and autofrettage process as effective parameters on amount of pressure capacity of autofrettaged vessel, the effects of parameters discussed separately. The results illustrate considerable effect of volume fraction used in FGM (up to 35% compared to full metal case) and inhomogeneity exponent (up to 154% compared to homogeneous case) on amount of ultimate pressure which is mentioned in results of parametric analyzing.

Keywords

Main Subjects


[1]     Thumser. R,Bergmann.JW, Vormwald.M., 2002, Residual stress fields and fatigue analysis of autofrettaged parts, Int J of Pressure Vessels and Piping79(4): 113-117.

[2]     Parker.AP, Hara.GP, Underwood.JH., 2003, Hydrulic versus swage Autofrettage and implications of the Bauschinger effect, Pressure Vessel Technol, 5(125): 309-314.

[3]     Farrahi.GH, Voyiadjis.GZ, Hoseini.SH, Hosseinian.E., 2013, Residual Stress Analysis of the Autofrettaged Thick-Walled Tube Using Nonlinear Kinematic Hardening, J of Pressure Vessel Technology135(4): 41-48.

[4]     Farrahi.GH, Voyiadjis.GZ, Hoseini.SH, Hosseinian.E., 2012,  Residual stress analyses of re-autofrettaged thick-walled tubes., International Journal of Pressure Vessels and Piping 98(5): 57-64.

[5]     Adibi-Asl.R, Livieri.P., 2007, Analytical Approach in Autofrettaged Spherical Pressure Vessels Considering the Bauschinger Effect, J of Pressure Vessel Technology  129(4): 411-419.

[6]     Maleki.M, Farrahi.GH, Haghpanah.Jahromi.B, Hosseinian.E., 2010, Residual stress analysis of autofrettaged thick-walled spherical pressure vessel, Int J of Pressure Vessels and Piping87(4):396-401.

[7]     Haghpanah.Jahromi.B, Farrahi.GH, Maleki.M, Nayeb-Hashemi.M, Vaziri.A., 2009, Residual stresses in autofrettaged vessel made of functionally graded material, J of Engineering Structures31(4):30-35.

[8]     Jahed.H, Sethuraman.R, Dubey.RN., 1997, A variable material property approach for solving elastic-plastic problems, Int J of Pressure Vessels and Piping71(5):285-291.

[9]     Timoshenko.SP, Goodier.JN., 1967,The Mathematical Theory of Elasticity, McGraw-Hill, Oxford University Press, Second Edition.

[10]   Haghpanah.Jahromi.B, Ajdari.A, Nayeb-Hashemi.H, Vaziri.A., 2010,  Autofrettage of layered and functionally graded metal ceramic composite vessels, J of Composite Structures92(7): 813-822.

[11]   Sadd.MH., 2009, Elasticity Theory, Applications, and Numerics ,Elsevier Scince, third Edition ,

[12]   Tamura.I, Tomota.Y, Ozawa.H., 1973, in: Strength and ductility of Fe-Ni-C alloys composed of austenite and martensite with various strength, in 3rd International Conference on Strength of Metals and Alloys, Institute of Metals,Cambridge: 611-615.

[13]   Miyamoto.Y, Kaysser.WA, Rabin.BH, Kawasaki.A., 1999, Functionally Graded Materials: Design, Processing, and Applications, Kluwer Academic  Landan,Second Edition.

[14]   Aluminum Alloy, Accessed on july 2014 ; http://asm.matweb.com/search/SpecificMaterial.asp.

[15]   Properties For Alumina Accessed on September 2013 ; http:// www.accuratus.com.

[16]      Suresh.S, Mortensen.A., 1998, Fundamentals of functionally graded materials: processing and thermomechanical behaviour of graded metals and metal-ceramic composites, IOM Communications Ltd, London,Third Edition.