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Research Papers: Design and Analysis

The Impact of the Bauschinger Effect on Stress Concentrations and Stress Intensity Factors for Eroded Autofrettaged Thick Cylindrical Pressure Vessels

[+] Author and Article Information
Q. Ma

 Edward F. Cross School of Engineering, Walla Walla University, College Place, WA 99324

C. Levy

 Department of Mechanical and Materials Engineering, Florida International University, Miami, FL 33199

M. Perl

 Pearlstone Center for Aeronautical Engineering Studies, Department of Mechanical Engineering, Ben Gurion University of the Negev, Beer Sheva 84105, Israel

J. Pressure Vessel Technol 134(2), 021204 (Jan 13, 2012) (6 pages) doi:10.1115/1.4005396 History: Received January 30, 2011; Revised August 03, 2011; Published January 13, 2012; Online January 13, 2012

Our previous studies have shown that stress intensity factors (SIFs) are influenced considerably from the presence of the Bauschinger Effect (BE) in thick-walled pressurized cracked cylinders. For some types of pressure vessels, such as gun barrels, working in corrosive environment, in addition to acute temperature gradients and repetitive high-pressure impulses, erosions can be practically induced. Those erosions cause stress concentration at the bore, where cracks can readily initiate and propagate. In this study, the BE on the SIFs will be investigated for a crack emanating from an erosion’s deepest point in a multiply eroded autofrettaged, pressurized thick-walled cylinder. A commercial finite element package, ansys , was employed to perform this type of analysis. A two-dimensional model, analogous to the authors’ previous studies, has been adopted for this new investigation. Autofrettage with and without BE, based on von Mises yield criterion, is simulated by thermal loading and the SIFs are determined by the nodal displacement method. The SIFs are evaluated for a variety of relative crack lengths, a0 /t = 0.01–0.45 emanating from the tip of the erosion of different geometries including (a) semicircular erosions of relative depths of 1%–10% of the cylinder’s wall thickness, t; (b) arc erosions for several dimensionless radii of curvature, r′/t = 0.05–0.4; and (c) semi-elliptical erosions with ellipticities of d/h = 0.5–1.5, and erosion span angle, α, from 6 deg to 360 deg. The effective SIFs for relatively short cracks are found to be increased by the presence of the erosion and further increased due to the BE, which may result in a significant decrease in the vessel’s fatigue life. Deep cracks are found to be almost unaffected by the erosion, but are considerably affected by BE.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Model of a multiply eroded cracked cylinder with three erosions and one edge crack

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Figure 2

Erosion configurations. (a) semicircular; (b) arc; and (c) elliptic erosions

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Figure 3

SCFs at the tip of each erosion for cylinders with one to 30 semi-elliptical erosions (d/t = 0.05, d/h = 1.5, α = 12 deg)

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Figure 4

Maximum SCFs versus the number of erosions as a function of erosion ellipticity (d/t = 0.05, α = 12 deg)

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Figure 5

(a) The normalized effective SIF versus relative crack length for one crack in a pressurized cylinder with one, three or five semicircular erosions (d/t = 0.05). (b) A more detailed view of the normalized effective SIF versus relative crack length to a0 /t =  0.2 for one crack in a pressurized cylinder with one, three or five semicircular erosions (d/t = 0.05).

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Figure 6

The normalized effective SIF versus relative crack length for the one crack in a pressurized cylinder with one, or three arc erosions (d/t = 0.05)

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Figure 7

The normalized effective SIF versus relative crack length for the one crack in a pressurized cylinder with one, or three elliptic erosions having two different ellipticities (d/t = 0.05)

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Figure 8

The normalized effective SIF versus erosion span angle for the one crack in a pressurized cylinder with one or three semicircular erosions (d/t = 0.05, a0 /t = 0.05)

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