Calculation of the Stress Intensity Factors for Elliptical Cracks Embedded in a Weld under Tensile Loading I：Single Crack

Abstract:

In this paper, an embedded elliptical crack in a weld of pressure vessels under tension was taken into consideration, and stress intensity factors at the crack tip were calculated numerically with the emphasis on the influences of the weld surface. It is found that when the embedded depth is 4 times larger than the minor semi-axis of the ellipse, the weld surface effects on the crack can be neglected and the numerical solutions for the stress intensity factors well agree with the analytical ones. This result can be used to distinguish a shallow embedded crack from a deep embedded crack. It is also found that the point with maximum stress intensity factor is always located at the end of minor axis of the ellipse no mater the shape of the ellipse is and how deep it was embedded.

• Periodical: Advanced Materials Research (Volumes 217-218)
• Pages: 1419-1424
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.217-218.1419
• Online since: March 2011
• Authors: Xiao Yu Liu, Cai Fu Qian, Hui Fang Li, Hui Zheng
• Keywords: Embedded Crack, Stress Intensity Factor (SIF), Weld

References

[1] Newman Jr. JC, Raju IS. Stress intensity factors equations for cracks in three-dimensional finite bodies subjected to tension and bending loads. In: Atluri SN, editor. Computational methods in the mechanics of fracture. Elsevier Science Publishers BV; (1986).

DOI: 10.1520/stp17428s

[2] Toru Ikeda, Masaki Nagai, Koh Yamanaga, Noriyuki Miyazaki: Engineering Fracture Mechanics Vol. 73 (2006), p. (2067).

[3] K. Shiozawa, Y. Morii, S. Nishino, L. Lu: Vol. 28 (2006), p.1521.

[4] J.J.M. de Rijck, S.A. Fawaz: Vol. 68(2001) p.963.

[5] S.P. Chiew, S.T. Lie C.K. Lee, Z.W. Huang: International Journal of Pressure Vessels and Piping Vol. 78(2001) p.677.

[6] Wang Liqing, Gai Bingzheng: Journal of Aeronautics Vol. 21(2008) p.411.

[7] Muskhelishvili NI, in: Some Basic Problems of the Mathematical Theory of Elasticity, edited P. Noordhoff, Groningen(1963), in press.

[8] Sneddon L N, in: Crack problems in the classical theory of elasticity, edited by Wiley, New York (1969), in press.

[9] Blandford G E. int. J: International Journal for numerical methods in engineering Vol. 17(1981), p.387.

[10] K.O. Findley, S.W. Koh, A. Saxena: International Journal of Fatigue Vol. 29 (2007), p.822.

[11] D-A. Wang,J. Pan: International Journal of Solids and Structures Vol. 42 (2005), p.6277.