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Design and Analysis

Influence Coefficients of Stress Intensity Factors for Curved Tubing With a Semi-Elliptical Crack

[+] Author and Article Information
Kirsten Plante

Department of Mechanical and Aerospace Engineering,  Carleton University, 1125 Colonel By Drive, Ottawa, ON, K1S 5B6, Canada

Choon-Lai Tan

Department of Mechanical and Aerospace Engineering,  Carleton University, 1125 Colonel By Drive, Ottawa, ON, K1S 5B6, Canadactan@mae.carleton.ca

J. Pressure Vessel Technol 134(5), 051204 (Sep 10, 2012) (6 pages) doi:10.1115/1.4006857 History: Received May 03, 2011; Revised October 13, 2011; Published September 10, 2012; Online September 10, 2012

The boundary element method is employed to determine polynomial influence coefficients of stress intensity factors, KI , for a semi-elliptical crack in internally pressurized thick-walled curved tubing. Numerical results of these coefficients are obtained for a wide range of geometric parameters; they are the bend radius ratio, cross-sectional radius ratio, angular extent of the bend, and relative crack depth. The use of influence coefficients allows KI solutions to be determined for different load cases without repetitive 3D stress analysis of the cracked body. This is demonstrated for the case of autofrettage where the effects on KI of the residual stresses arising from it are presented.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

A thick-walled curved tube

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Figure 2

Semi-elliptical crack in a curved thick-walled tube

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Figure 3

BEM mesh for R* = 5, k = 1.5, θ* = 90 deg, b/W = 0.4; 128 elements and 372 nodes

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Figure 4

Variation of the normalized stress intensity factor, KI/[P√(πb)], along the periphery of a semi-elliptical crack in a tubing under internal pressure: R* = 5, θ* = 90 deg, k = 1.5, b/W = 0.4

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