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. In, Dulieu-Barton, J.M. (eds.) 7th International Conference on Modern Practice in Stress and Vibration Analysis. Bristol, UK, Institute of Physics Publishing, 012062. (Journal of Physics: Conference Series, 181). (doi:10.1088/1742-6596/181/1/012062).


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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.

Item Type: Book Section
Digital Object Identifier (DOI): doi:10.1088/1742-6596/181/1/012062
ISSNs: 0309-3247 (print)
Related URLs:
Subjects: T Technology > TJ Mechanical engineering and machinery
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Engineering Sciences > Fluid-Structure Interactions
ePrint ID: 68657
Accepted Date and Publication Date:
1 September 2009Published
Date Deposited: 14 Sep 2009
Last Modified: 31 Mar 2016 12:54

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