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An Automated Procedure for the Geometrical Modelling of a Surface Crack Front

J. Toribio1, J.C. Matos2, B. González1, J. Escuadra2
Dept. of Materials Engineering, University of Salamanca, Spain
Dept. of Computing Engineering, University of Salamanca, Spain

Structural Durability & Health Monitoring 2009, 5(1), 57-72. https://doi.org/10.3970/sdhm.2009.005.057

Abstract

In this paper an automatic (analytical-numerical) procedure is proposed to model the front of a transverse surface crack located in the circular section of a lineal structural element (wire, cable, strand, rod, shaft,..., i.e., a cylindrical geometry) by means of a fitting ellipse, obtaining the ellipse parameters from a series of points in therealcrack front and adjusting them to thetheoreticalfitting ellipse by a least square method. For symmetric cracks two modelling procedures are formulated: (i) in the first one, a fitting ellipse is used wit its centre belonging to the periphery of the circular section of the cylinder; (ii) in the second one, a circle is used with no restrictions regarding the position of its centre. Both methods were compared and applied to real cracks in high-strength steel wires subjected to fatigue.

Keywords

Semi-elliptical surface cracks, round bars, geometrical modelling, crack fronts, fatigue.

Cite This Article

Toribio, J., Matos, J., González, B., Escuadra, J. (2009). An Automated Procedure for the Geometrical Modelling of a Surface Crack Front. Structural Durability & Health Monitoring, 5(1), 57–72.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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