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TECHNICAL PAPERS

Closed-Form Collapse Moment Equations of Throughwall Circumferentially Cracked Elbows Subjected to In-Plane Bending Moment

[+] Author and Article Information
J. Chattopadhyay, A. K. S. Tomar, B. K. Dutta, H. S. Kushwaha

Reactor Safety Division, Hall-7, Bhabha Atomic Research Center, Trombay, Mumbai—400085, India

J. Pressure Vessel Technol 126(3), 307-317 (Aug 18, 2004) (11 pages) doi:10.1115/1.1767177 History: Received May 29, 2003; Revised April 01, 2004; Online August 18, 2004
Copyright © 2004 by ASME
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References

Figures

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Typical finite element mesh of an elbow
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(a) Geometry of a throughwall circumferentially cracked elbow under closing moment; and (b) geometry of a throughwall circumferentially cracked elbow under opening moment
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Load deflection curves from experiments on elbows by Chattopadhyay et al. 14
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Moment rotation curves for cracked elbows (Rb/R=3,R/t=15) under closing bending
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Moment rotation curves for cracked elbows (Rb/R=3,R/t=15) under opening bending
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Variation of normalized collapse moment of deflect-free elbow under closing bending with elbow factor
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Variation of normalized collapse moment of deflect-free elbow under opening bending with elbow factor
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Variation of normalized collapse moment with crack angle for closing moment (symbols show the present FE results and solid lines show predictions of closed-form equations)
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Variation of axial stress at mid-plane of elbow (R/t=20 and Rb/R=3, no crack) under closing bending moment at the TES collapse moment
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Variation of axial stress at mid-plane of elbow (R/t=5 and Rb/R=3, no crack) under closing bending moment at the TES collapse moment
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Surface plot of weakening factor (ML/M0), crack angle and R/t for TCC elbows subjected to closing bending moment (symbols show the FE data points and wire mesh shows the smoothened surface)
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Variation of normalized collapse moment with crack angle for opening bending (symbols show the present FE results and solid lines show predictions of closed-form equations)
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Variation of axial stress at mid-plane of elbow (R/t=10 and Rb/R=3, no crack) under opening bending at load beyond the TES collapse moment
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Effect of bend radius on collapse moment—a comparison for R/t=5 and closing bending moment
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Effect of bend radius on collapse moment—a comparison for R/t=20 and closing bending moment
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Effect of bend radius on collapse moment—a comparison for R/t=5 and opening bending moment
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Comparison of experimental and finite element results for test no. ELTWIN8-2 18
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Intrados crack in elbow under opening bending—a comparison of weakening effect

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