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TECHNICAL PAPERS

Calculation of Stress Intensity Factors and Crack Opening Displacements for Cracks Subjected to Complex Stress Fields

[+] Author and Article Information
A. Kiciak

GE Company Polska, Combustion Center of Excellence, Aleja Krakowska 110/114, 02-256 Warsaw, Poland

G. Glinka

University of Waterloo, Department of Mechanical Engineering, Waterloo, Ontario, Canada N2L 3G1

D. J. Burns

Conestoga College, 299 Doon Valley Drive, Kitchener, Ontario, Canada N2G 4M4

J. Pressure Vessel Technol 125(3), 260-266 (Aug 01, 2003) (7 pages) doi:10.1115/1.1593080 History: Received March 13, 2003; Revised May 06, 2003; Online August 01, 2003
Copyright © 2003 by ASME
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References

Kiciak, A., Burns, D. J., and Glinka, G., 2001, “Effects of mouth closure and fluid entrapment on fatigue crack propagation in thick-walled autpfretaged cylinders,” ASME Pressure Vessel Conference, PVP, Vol. 418, pp. 19–30.
Bueckner,  H. F., 1970, “A novel principle for the computation of stress intensity factors,” Z. Angew. Math. Mech., 50, pp. 529–546.
Rice,  J. R., 1972, “Some remarks on elastic crack-tip stress field,” Int. J. Solids Struct., 8, pp. 751–758.
Broek, D., 1988, The Practical Use of Fracture Mechanics, Kluwer, Amsterdam.
Tada, H., Paris, P., and Irwin, G., 1985, The Stress Analysis of Cracks Handbook, 2nd Edn. Paris Production Inc., St. Louis, Missouri, USA.
Wu, X. R., and Carlsson, A. J., 1991, Weight Functions and Stress Intensity Factor Solutions, Pergamon Press, Oxford, UK.
Fett, T., and Munz, D., 1994, Stress Intensity Factors and Weight Functions for One-dimensional Cracks, Report No. KfK 5290, Kernforschungszentrum Karlsruhe, Institut fur Materialforschung, Karlsruhe, Germany.
Glinka,  G., and Shen,  G., 1991, “Universal features of weight functions for cracks in mode I,” Eng. Fract. Mech., 40, pp. 1135–1146.
Shen,  G., and Glinka,  G., 1991, “Determination of weight functions from reference stress intensity factors,” Theor. Appl. Fract. Mech., 15, pp. 237–245.
Shen,  G., and Glinka,  G., 1991, “Weight functions for a surface semielliptical crack in a finite thickness plate,” Theor. Appl. Fract. Mech., 15, pp. 247–255.
Zheng,  X. J., Glinka,  G., and Dubey,  R., 1995, “Calculation of stress intensity factors for semi-elliptical cracks in a thick-wall cylinder,” Int. J. pressure vessels piping, 62, pp. 249–258.
Zheng,  X. J., Glinka,  G., and Dubey,  R., 1996, “Stress intensity factors and weight functions for a corner crack in a finite thickness plate,” Eng. Fract. Mech., 54, pp. 49–62.
Wang, X., and Lambert, S. B., 1995, “Stress intensity factors for low aspect ratio semi-elliptical surface cracks in finite-thickness plates subjected to non-uniform stresses,” Eng. Fract. Mech., 51 .
Wang,  X., and Lambert,  S. B., 1997, “Stress intensity factors and weight functions for high aspects ratio semi-elliptical surface cracks in finite-thickness plates,” Eng. Fract. Mech., 57, pp. 13–24.
Kitagawa,  , and Yuuki,  R., 1977, “Analysis of the non-linear shaped cracks in a finite plate by the conformal mapping method,” Trans. Jpn. Soc. Mech. Eng., 43, pp. 4354–4362.

Figures

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The principle of superposition used in calculation of stress intensity factors based on the weight function technique. a Loaded cracked body. b The stress distribution in the prospective crack plane. c The “uncracked” stress field applied to the crack surface.
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Example of the notation and the system of co-ordinates for the weight function: a one-dimensional representation; b interpretation of the point load in three-dimensional bodies
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Weight function notation for a semi-elliptical crack in a thick-walled cylinder
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Application of the simplified integration method of a the weight function m(x,a) and b nonlinear stress distribution σ(x)
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Comparison of weight function based stress intensity factors for a semi-elliptical internal crack in a pressurized thick-walled cylinder with finite element data
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Stress intensity factors for two symmetric cracks emanating from a circular notch
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Stress distribution ahead of a semi-elliptical edge notch in a wide plate under uniform tension
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Stress intensity factors for cracks emanating from a semi-elliptical edge notch in a wide plate (depth d=8, notch radius r=2, plate width W=160)
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The hoop and residual stress distribution in a thick wall cylinder under internal pressure pi
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Opening displacements of an internal edge crack in autofrettaged thick-walled cylinder subjected to internal pressure pi

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