Stress Intensity Factors for Internal Straight and Curved-Fronted Cracks in Thick Cylinders

[+] Author and Article Information
Anthony P. Parker

Defence Academy of the United Kingdom, Cranfield University, Swindon, SN6 8LA, United Kingdomtony̱parker@tesco.net

Choon-Lai Tan

Department of Mechanical and Aerospace Engineering, Carleton University, Ottawa, K1S 5B6, Canadactan@mae.carleton.ca

J. Pressure Vessel Technol 128(2), 227-232 (Jan 08, 2006) (6 pages) doi:10.1115/1.2172618 History: Received November 04, 2005; Revised January 08, 2006

Fatigue and leak-before-break calculations for a pressure vessel require knowledge of the stress intensity factor at the deepest point of a straight- or curved-fronted (semi-elliptical) surface crack emanating from the bore of an internally pressurized, autofrettaged thick cylinder. A limited number of available solutions is curve fitted. The concept of a tube equivalent plate (TEP), which exhibits crack-constraint characteristics matching those of a thick cylinder, is developed, and the resulting equations are curve fitted. Ratios of the TEP stress intensity factor results are then used to interpolate between certain existing solutions. This provides wide-ranging solutions covering radius ratios from 1.8 to 3.0, autofrettage overstrain from 0 to 100% and crack shapes from straight fronted to semi-circular. The calculation procedure is described using worked examples.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

(top) Thick cylinder containing a single, semi-elliptical surface crack of depth a and length 2c, and (bottom) tube equivalent plate (TEP) containing a single, semi-elliptical surface crack of depth a and length 2c

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Figure 2

Stress intensity factors, for the deepest point on the semi-elliptical crack front (a∕c=0.8) in a thick cylinder

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Figure 3

Stress intensity factors, for straight-fronted (a∕c=0) embedded and edge cracks in various configurations subjected to constant pressure on crack faces (lines) and in cylinder, Y=2, subjected to internal and crack face

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Figure 4

Stress intensity factors for an internally pressurized thick cylinder of radius ratio 2.8, 0⩽a∕c⩽1, deepest point

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Figure 5

Stress intensity factors for an autofrettaged thick cylinder of radius ratio 2.8, 40% overstrain, 0⩽a∕c⩽1, deepest point



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