Export file:


  • RIS(for EndNote,Reference Manager,ProCite)
  • BibTex
  • Text


  • Citation Only
  • Citation and Abstract

Interaction factors for two elliptical embedded cracks with a wide range of aspect ratios

Nuclear Safety Research Center, Japan Atomic Energy Agency, 2-4 Shirane, Tokai-mura, Naka-gun, Ibaraki 319-1195, Japan

Special Issues: Interaction of Multiple Cracks in Metallic Components-Volume 2

The value of stress intensity factor may be increased through the interaction of multiple cracks that are in close proximity to one another. We investigated the interaction factors of two equal elliptical cracks with a wide range of aspect ratios. Finite element analysis for a linear elastic solid was used to obtain the interaction factor for embedded cracks in an infinite model subjected to remote tension loading. Relationships between interaction factors and dimensionless distances between the cracks were discussed. The results demonstrated that the interaction factors depend on the crack aspect ratio, whose effect is related to the dimensionless distance. Thus, it is suggested that interaction factors can be reasonably characterized using different dimensionless distances depending on the aspect ratio. Finally, we provide a simple empirical formula for obtaining the interaction factors for embedded cracks.
  Article Metrics

Keywords stress intensity factor; embedded crack; multiple crack interaction; interaction factor; finite element analysis; fracture mechanics; fitness-for-service

Citation: Kisaburo Azuma, Yinsheng Li. Interaction factors for two elliptical embedded cracks with a wide range of aspect ratios. AIMS Materials Science, 2017, 4(2): 328-339. doi: 10.3934/matersci.2017.2.328


  • 1.  Nisitani H, Murakami Y (1974) Stress intensity factors of an elliptical crack or a semi-elliptical crack subject to tension. Int J Fracture 10: 353-368.    
  • 2.  Isida M, Hirota K, Noguchi H, et al. (1985) Two parallel elliptical cracks in an infinite solid subjected to tension. Int J Fracture 27: 31-48.    
  • 3.  Kachanov M, Laures J (1989) Three-dimensional problems of strongly interacting arbitrarily located penny-shaped cracks. Int J Fracture 41: 289-313.    
  • 4.  Xiao ZM, Lim MK, Liew KM (1995) Stress intensity factors of two internal elliptical cracks in three-dimensional solid. Eng Fract Mech 50: 431-441.    
  • 5. The American Society of Mechanical Engineers (2015) BPVC Section XI, Rules for Inservice Inspection of Nuclear Power Plant Components, New York: The American Society of Mechanical Engineers.
  • 6. British Standards Institution (2005) BS7910, Guide to methods for assessing the acceptability of flaws in metallic structures, London: British Standard Institution.
  • 7. Hasegawa K, Miyazaki K, Kanno S (2001) Interaction Criteria for Multiple Flaws on the Basis of Stress Intensity Factors. Proceedings of the 2001 ASME Pressure Vessels and Piping Conference, Atlanta: ASME, PVP2001-422, 23–29.
  • 8. Malekian C, Wyart E, Savelsberg M, et al. (2009) Stress Intensity Factors for Semi-elliptical Surface Cracks with Flaw Aspect Ratio beyond the ASME XI Limit. Proceedings of the 2009 ASME Pressure Vessels and Piping Conference, Prague: ASME, PVP2009-77917, 339–351.
  • 9. ABAQUS Version 6.13 (2013) SIMULIA.
  • 10. Doi H, Nakamura H, Gu W, et al. (2014) Development of an Automatic 3D Finite Element Crack Propagation System. Proceedings of the 2014 ASME Pressure Vessels and Piping Conference, Anaheim: ASME, PVP2014-28394.
  • 11. Anderson TL (2005) Fracture mechanics: fundamentals and applications, Boca Raton, Florida: CRC Press.


Reader Comments

your name: *   your email: *  

Copyright Info: © 2017, Kisaburo Azuma, et al., licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

Download full text in PDF

Export Citation

Copyright © AIMS Press All Rights Reserved