Analysis of 3-Dimensional Creased Cracks

Abstract:

A method of analysis for calculating a precise distribution of a stress intensity factor alonga front of 3D crack was improved by introducing a closed-form integral. In the present study, the crackface is discretized with number of triangular boundary elements on which the weighting function ofbody force doublet varies linearly with coordinate variables. A closed form solution of a resultant forceover an arbitrary planar-triangular area due to a presence of an isolated point force was derived andused to satisfy a stress boundary condition of a creased crack problem. In principle, arbitrary shaped3D cracks which may contain asperities and multiple creased lines in its face can be solved by presentapproach.

• Periodical: Key Engineering Materials (Volume 827)
• Pages: 416-421
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.827.416
• Online since: December 2019
• Authors: Yohei Sonobe*, Takuichiro Ino, Atsuhiro Koyama, Akihide Saimoto
• Keywords: 3D Crack, Body Force Method, Resultant Force Technique, Triangular Element

References

[1] H. Nisitani: Journal of the Japan Society of Mechanical Engineers, 70-580 (1967), p.627.

[2] M. Isida: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.44-380 (1978), p.1122.

[3] M. Isida: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.45-392 (1979), p.306.

[4] M. Isida and H. Noguchi: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.49-438 (1983), p.137.

[5] M. Isida and H. Noguchi: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.49-438 (1983), p.147.

[6] M. Isida and H. Noguchi: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.49-440 (1983), p.469.

[7] Y. Murakami: Editor-in-Chief, Stress Intensity Factors Handbook, Pergamon Press (1987).

[8] M. Isida, T. Yoshida and H. Noguchi: Trans. Japan Soc. Mech. Engrs. Ser. A, Vol.49-448 (1983), p.1572.

[9] M. Isida, H. Noguchi and T. Yohida: Int. J. Fract., Vol.26 (1984), p.157.

[10] H. Nisitani and D.H. Chen: Body Force Method, Baifukan (1987).