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Journal of Pressure Vessel Technology | Volume 127 | Issue 2 | Research Paper
RESEARCH PAPERS

Analysis of Surface Crack in Cylinder by Finite Element Alternating Method

[+] Author and Article Information
Masayuki Kamaya1

 Institute of Nuclear Safety System, Inc. (INSS), 64 Sata, Mihama-cho, Fukui 919-1205, Japankamaya@inss.co.jp

Toshihisa Nishioka

 Kobe University, 5-1-1 Fukaeminamimachi, Higashinada-ku, Kobe 685-0022, Japannishioka@maritime.kobe-u.ac.jp

1

Corresponding author.

J. Pressure Vessel Technol 127(2), 165-172 (Jan 31, 2005) (8 pages) doi:10.1115/1.1903003 History: Received October 28, 2003; Revised January 31, 2005
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The finite element alternating method (FEAM), in conjunction with the finite element analysis (FEA) and the analytical solution for an elliptical crack in an infinite solid subject to arbitrary crack-face traction, is used for evaluating the stress intensity factor (SIF) of surface cracks in a cylinder. The major advantage of this method is that the SIF can be calculated by using the FEA results for an uncracked body. A newly developed system allows the FEAM to be performed by a simple method, which consists of the conventional FEA for an uncracked body and a subroutine for the FEAM alternating procedure. It is shown that the system can derive the precise SIF of circumferential, longitudinal, and inclined surface cracks in a cylinder. The crack growth predictions are performed for an inclined crack and projected longitudinal and circumferential crack in a cylinder. The results suggests that the crack characterizing procedure prescribed in Sec. XI may cause an unconservative evaluation in the crack growth prediction, and that the FEAM is valid for complex problems, to which the SIF evaluation by the FEA cannot be adopted easily.
Copyright © 2005 by American Society of Mechanical Engineers
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+Finite element alternating method for finite cracked body under remote loading
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Finite element alternating method for finite cracked body under remote loading
Figure 1

Finite element alternating method for finite cracked body under remote loading

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+Elliptic angle θ for point P on the edge of an elliptical crack
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Elliptic angle θ for point P on the edge of an elliptical crack
Figure 2

Elliptic angle θ for point P on the edge of an elliptical crack

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+Flow chart of the finite element alternating method
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Flow chart of the finite element alternating method
Figure 3

Flow chart of the finite element alternating method

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+Location of interpolation points (total 709 points are employed)
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Location of interpolation points (total 709 points are employed)
Figure 4

Location of interpolation points (total 709 points are employed)

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+Residual stress distribution over the entire crack surface
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Residual stress distribution over the entire crack surface
Figure 5

Residual stress distribution over the entire crack surface

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+Geometry of cracked cylinder
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Geometry of cracked cylinder
Figure 6

Geometry of cracked cylinder

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+Finite element mesh for an uncracked cylinder
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Finite element mesh for an uncracked cylinder
Figure 7

Finite element mesh for an uncracked cylinder

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+Normalized stress intensity factor for a surface crack in a cylinder: (a) circumferential crack; and (b) longitudinal crack
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Normalized stress intensity factor for a surface crack in a cylinder: (a) circumferential crack; and (b) longitudinal crack
Figure 8

Normalized stress intensity factor for a surface crack in a cylinder: (a) circumferential crack; and (b) longitudinal crack

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+Change in the residual stress on the crack surface
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Change in the residual stress on the crack surface
Figure 9

Change in the residual stress on the crack surface

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+Definition of inclination angle β
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Definition of inclination angle β
Figure 10

Definition of inclination angle β

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+Finite element mesh for an uncracked cylinder
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Finite element mesh for an uncracked cylinder
Figure 11

Finite element mesh for an uncracked cylinder

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+Normalized stress intensity factor for a inclined surface crack in a cylinder (b∕t=0.4, t∕Ri=0.1, L∕t=15): (a) inclination angle β=0°; (b) Inclination angle β=15°; (c) inclination angle β=30°; and (d) inclination angle β=45°.
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Normalized stress intensity factor for a inclined surface crack in a cylinder (b∕t=0.4, t∕Ri=0.1, L∕t=15): (a) inclination angle β=0°; (b) Inclination angle β=15°; (c) inclination angle β=30°; and (d) inclination angle β=45°.
Figure 12

Normalized stress intensity factor for a inclined surface crack in a cylinder (b∕t=0.4, t∕Ri=0.1, L∕t=15): (a) inclination angle β=0°; (b) Inclination angle β=15°; (c) inclination angle β=30°; and (d) inclination angle β=45°.

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+Inclined crack and projected circumferential and axial crack in cylinder
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Inclined crack and projected circumferential and axial crack in cylinder
Figure 13

Inclined crack and projected circumferential and axial crack in cylinder

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+Procedure of the crack growth prediction
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Procedure of the crack growth prediction
Figure 14

Procedure of the crack growth prediction

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+Relationship between time and crack size obtained by the crack growth prediction using the FEAM: (a) surface direction; and (b) depth direction
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Relationship between time and crack size obtained by the crack growth prediction using the FEAM: (a) surface direction; and (b) depth direction
Figure 15

Relationship between time and crack size obtained by the crack growth prediction using the FEAM: (a) surface direction; and (b) depth direction

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