Research article Special Issues

Mutual interaction of stress concentration and stress intensity factor between semi-circular notch and crack

  • Received: 21 September 2016 Accepted: 06 November 2016 Published: 14 November 2016
  • When cracks are detected during examination, assessments have to be done in order to demonstrate the fitness-for-service (FFS) of the component for continued operation. In order to assess a crack, it has firstly to be characterized as surface or subsurface according to its distance to the free surface of the component. The re-characterization process from subsurface-to-surface crack is addressed in all FFS Codes. The specific criteria for the rules on transforming subsurface cracks to surface cracks differ among the FFS Codes and assume regular free surface of the component. In this article, in order to further improve the subsurface-to-surface flaw proximity rules, a new parameter is investigated: the presence of a geometrical discontinuity at the free surface of the component. The analysis, conducted through extended finite element calculations, considered the interaction between a circular subsurface crack and the free surface with stress concentration induced by a circular notch. After analyzing the stress profiles in the notch-crack neighborhood, the calculations have highlighted that, for a given stress concentration at the free surface of the component, for a given ligament and for a given crack depth, the interaction between the crack and the notch highly depends on the notch radius. These results lead to the proposal of a new subsurface-to-surface proximity rule accounting for the interaction between circular crack and the free surface of the component impacted by a stress concentration due to a circular notch.

    Citation: Pierre Dulieu, Valéry Lacroix. Mutual interaction of stress concentration and stress intensity factor between semi-circular notch and crack[J]. AIMS Materials Science, 2016, 3(4): 1520-1533. doi: 10.3934/matersci.2016.4.1520

    Related Papers:

  • When cracks are detected during examination, assessments have to be done in order to demonstrate the fitness-for-service (FFS) of the component for continued operation. In order to assess a crack, it has firstly to be characterized as surface or subsurface according to its distance to the free surface of the component. The re-characterization process from subsurface-to-surface crack is addressed in all FFS Codes. The specific criteria for the rules on transforming subsurface cracks to surface cracks differ among the FFS Codes and assume regular free surface of the component. In this article, in order to further improve the subsurface-to-surface flaw proximity rules, a new parameter is investigated: the presence of a geometrical discontinuity at the free surface of the component. The analysis, conducted through extended finite element calculations, considered the interaction between a circular subsurface crack and the free surface with stress concentration induced by a circular notch. After analyzing the stress profiles in the notch-crack neighborhood, the calculations have highlighted that, for a given stress concentration at the free surface of the component, for a given ligament and for a given crack depth, the interaction between the crack and the notch highly depends on the notch radius. These results lead to the proposal of a new subsurface-to-surface proximity rule accounting for the interaction between circular crack and the free surface of the component impacted by a stress concentration due to a circular notch.


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    [1] Hasegawa K, Li Y (2010) Assessment of fatigue crack growths for transformed surface flaws using FFS codes. Proceedings of ASME 2010 Pressure Vessels and Piping Division Conference, Boston, USA.
    [2] Lacroix V, Li Y, Strnadel B, et al. (2015) Recharacterization of subsurface flaw to surface flaw based on equivalent fatigue crack growth rate. J Pressure Vessel Technol 138: 024701–024701-6. doi: 10.1115/1.4031723
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