Autofrettaged Cylindrical Vessels and Bauschinger Effect: An Analytical Frame for Evaluating Residual Stress Distributions

[+] Author and Article Information
Paolo Livieri

Department of Engineering, University of Ferrara, 44100 Ferrara, Italye-mail: plivieri@ing.unife.it

Paolo Lazzarin

Department of Management and Engineering, University of Padova, 36100 Vicenza, Italye-mail: plazzarin@gest.unipd.it

J. Pressure Vessel Technol 124(1), 38-46 (Jul 20, 2001) (9 pages) doi:10.1115/1.1425809 History: Received February 26, 2001; Revised July 20, 2001
Copyright © 2002 by ASME
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Grahic Jump Location
(a) Residual stress fields for a power hardening σ−ε curve as dependent on the hardening rule, n=6; (b) residual stress field as a function of hardening exponent n for a power hardening σ−ε curve and kinematic hardening. (In all cases: a=60 mm,b=240 mm,σy=900 MPa,E=206 GPa,p=3σy/2.)
Grahic Jump Location
Residual stress fields (a) and errors in percentage (b) with respect to the numerical solution. Material modeled with a power hardening σ−ε curve, kinematic hardening (a=60 mm,b=180 mm,σy=600 MPa,E=206 GPa,p=4σy/3).
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Errors in percentage associated to the use of the approximate Eqs. (38), (40) with respect to the exact Eqs. (45), (47). Bilinear material (a=60 mm,b=240 mm,σy=850 MPa, ν=0.3, E=206 GPa,Et=Etu=10000 MPa).
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Residual stress fields for a bilinear material plotted for two hardening rules (a) and in the presence of a constant Bauschinger effect (b); (a=60 mm,b=240 mm,σy=850 MPa, ν=0.3, E=206 GPa,Et=Etu=10000 MPa,p=1.65σy)
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Power hardening σ−ε curve for the unloading phase plotted in the εeqpeq plane
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Bauschinger effect factor for a bilinear (a) and a power hardening σ−ε curve (b) for different hardening rules (σy=600 MPa,E=206 GPa)
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Loading and unloading σ−ε curves in the presence of the Bauschinger effect
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Schematic representation of the cross section



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