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TECHNICAL PAPERS

Prediction of Crack Initiation Direction for Surface Flaws Under Biaxial Loading

[+] Author and Article Information
Abdennour C. Seibi

Mechanical and Industrial Engineering Department, Sultan Qaboos University, Al-Khod 123, Oman

Sam Y. Zamrik

Engineering Science and Mechanics Department, The Pennsylvania State University, University Park, PA 16802

J. Pressure Vessel Technol 125(1), 65-70 (Jan 31, 2003) (6 pages) doi:10.1115/1.1521712 History: Received December 04, 2001; Revised August 19, 2002; Online January 31, 2003
Copyright © 2003 by ASME
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References

Erdogan,  F., and Sih,  G. C., 1963, “On the Crack Extension in Plate Under Plane Loading and Transverse Shear,” ASME J. Basic Eng., 85, pp. 519–527.
Williams,  J. C., and Ewing,  P. D., 1972, “Fracture Under Complex Stress—The Angled Crack Problem,” Int. J. Fract., 8, pp. 441–446.
Finnie,  I., and Saith,  A., 1973, “A Note on the Angled Problem and Directional Stability of Crack,” Int. J. Fract., 9, pp. 484–486.
Swedlow,  J. L., 1976, “Criterion for Growth of the Angled Crack,” ASTM Spec. Tech. Publ., 601, pp. 506–521.
Ling,  L. H., and Woo,  C. W., 1984, “On Angled Crack Initiation Under Biaxial Loading,” J. Strain Anal., 19(1), pp. 51–59.
Seibi, A. C., 1988, “Fatigue Crack Initiation and Propagation of Induced Surface Flaw Under Biaxial Stress Field,” M.Sc. thesis, The Pennsylvania State University.
Zamrik, S. Y., Seibi, A., and Davis, D. C., 1991, “Fatigue Crack Initiation from an Induced Angled Surface Crack under Biaxial Anticlastic Bending,” Fatigue Under Biaxial and Multiaxial Loading, ESIS10, eds., K. Kussmaul, D. McDiarmid, and D. Socie, Mechanical Engineering Publications, London, pp. 223–238.
Sih,  G. C., and Barthelmy,  B. M., 1980, “Mixed Mode FCG Predictions,” Eng. Fract. Mech., 13, pp. 439–451.
Pandey,  R. K., and Patel,  A. B., 1984, “Mixed-Mode Fatigue Crack Growth Under Biaxial Loading,” Int. J. Fatigue, 6(2), pp. 119–123.
Pan, J., and Huang, K., 1986, “Further Studies of Mixed Mode Crack propagation in Pressure Vessels,” Symp. Fatigue and Fracture Assessment by Analysis and Testing, ASME PVP.-Vol. 103, pp. 59–66.
Seibi, A. C., and S. Y. Zamrik, 1997, “Prediction of Crack Initiation Direction for Surface Flaws Under Biaxial Loading,” Proc., 5th Int. Conf. on Biaxial/Multiaxial Fatigue and Fracture, Cracow, Poland, pp. 611–622.
Shabara, M. A., 1976, “Fatigue Crack Growth Rate Under Conditions of a Biaxial Stress Field and Elevated Temperatures,” PhD thesis, The Pennsylvania State University.
Sih,  G. C., 1974, “Fracture Mechanics Applied to Engineering Problems—Strain Energy Density Fracture Criterion,” Eng. Fract. Mech., 6, pp. 361–383.

Figures

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Comparison of the proposed and Ling and Woo methods with experimental data
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Crack trajectory for biaxiality ratio of −0.45, inclined surface flaw with β=45 deg and Δσ=140.66 MPa
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Crack trajectory for biaxiality ratio of −0.45, inclined surface flaw with β=60 deg and Δσ=140.66 MPa
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Total crack length versus elapsed cycles for rhombic plates of biaxiality ratio of α=−0.45
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Total crack length versus elapsed cycles for rhombic plates of biaxiality ratio of α=−1.0
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Crack growth rate versus ΔK, (MPa mm)
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Crack growth rate versus ΔS(N2/mm3)
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Angled crack representation
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Crack angle versus biaxiality ratio, α
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Crack initiation angle versus crack angle for a uniaxial loading case

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