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Curve fitting of mixed-mode isopachics

Hebb, R.I., Dulieu-Barton, J.M., Worden, K. and Tatum, P., (2009) Curve fitting of mixed-mode isopachics Dulieu-Barton, J.M. (ed.) In 7th International Conference on Modern Practice in Stress and Vibration Analysis. vol. 181, Institute of Physics Publishing. 8 pp, p. 12062. (doi:10.1088/1742-6596/181/1/012062).

Record type: Conference or Workshop Item (Paper)


Recent work has focused on exploiting the observation that the stress-sum contours (isopachics), obtained from TSA, in the vicinity of the tip take the form of a simple curve – the cardioid. The analysis made use of the cardioid nature of the isopachics by deriving expressions for the SIFs in terms of the cardioid area and the positions of certain tangents to the curve. Both Genetic Algorithms (GAs) and Differential Evolution (DE) have also proved successful for parameter estimation, but some of the curve-fits indicated that the cardioid form was inappropriate for the base model, particularly for mixed-mode cracks. The effect of cracktip interaction has been explored and shows this has a small effect on the cardioid form. New, higher resolution infra-red detectors have become available since the original data was collected, so the object of the current paper is to use new techniques to extract the cardioid form and use a GA to perform the curve fitting.

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Published date: 1 September 2009
Venue - Dates: 7th International Conference on Modern Practice in Stress and Vibration Analysis, 2009-09-08 - 2009-09-10
Organisations: Fluid Structure Interactions Group


Local EPrints ID: 68657
ISSN: 0309-3247
PURE UUID: 4a1b5c7e-a10a-4c70-a9c5-af9a0598b192
ORCID for R.I. Hebb: ORCID iD

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Date deposited: 14 Sep 2009
Last modified: 19 Jul 2017 00:17

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