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Curve fitting of mixed-mode isopachics

Curve fitting of mixed-mode isopachics
Curve fitting of mixed-mode isopachics
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.
0309-3247
12062
Institute of Physics Publishing
Hebb, R.I.
0805cab8-0ef5-4f65-9ed6-25fd5563d1a6
Dulieu-Barton, J.M.
9e35bebb-2185-4d16-a1bc-bb8f20e06632
Worden, K.
07522936-fd47-4df2-b75e-c3d297d104b3
Tatum, P.
e21d5e2a-2ddc-4a87-9cd0-7c147e84d875
Dulieu-Barton, J.M.
Hebb, R.I.
0805cab8-0ef5-4f65-9ed6-25fd5563d1a6
Dulieu-Barton, J.M.
9e35bebb-2185-4d16-a1bc-bb8f20e06632
Worden, K.
07522936-fd47-4df2-b75e-c3d297d104b3
Tatum, P.
e21d5e2a-2ddc-4a87-9cd0-7c147e84d875
Dulieu-Barton, J.M.

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. p. 12062 . (doi:10.1088/1742-6596/181/1/012062).

Record type: Conference or Workshop Item (Paper)

Abstract

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, Cambridge, UK, 2009-09-07 - 2009-09-09
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 68657
URI: http://eprints.soton.ac.uk/id/eprint/68657
ISSN: 0309-3247
PURE UUID: 4a1b5c7e-a10a-4c70-a9c5-af9a0598b192
ORCID for R.I. Hebb: ORCID iD orcid.org/0000-0002-9727-5080

Catalogue record

Date deposited: 14 Sep 2009
Last modified: 08 Jan 2022 02:59

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Contributors

Author: R.I. Hebb ORCID iD
Author: K. Worden
Author: P. Tatum
Editor: J.M. Dulieu-Barton

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