Using a Bayesian model to jointly estimate the flaw size distribution and the pod function

dc.contributor.author Li, M.
dc.contributor.author Meeker, William
dc.contributor.author Hovey, P.
dc.contributor.department Center for Nondestructive Evaluation
dc.date 2018-02-13T06:10:41.000
dc.date.accessioned 2020-06-30T01:25:47Z
dc.date.available 2020-06-30T01:25:47Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 2010
dc.date.embargo 2013-02-12
dc.date.issued 2009-07-01
dc.description.abstract <p>In this paper we extend previous work by the authors to jointly estimate the flaw size distribution and the POD function from simulated field inspection data. Similar to our previous work, we assume that when a crack is above a detection threshold, both the signal amplitude and the flaw size are recorded. For a signal that is above the noise floor, but below the detection threshold, only the amplitude is recorded. At all other locations we know only that the signal is below the noise floor, i.e. left censored. Now our model allows different airplanes to have different crack growth rates, and the distribution of crack growth rates is to be estimated from the data. To estimate the parameters of the model, we use a Bayesian formulation that provides a convenient structure for estimating the plane‐to‐plane differences. The Bayesian formulation also allows the use of prior information based on knowledge of physics or previous experience with similar inspection situations. For example, there may be useful information about crack growth rates and about the slope in the amplitude and crack size relationship. Use of such information can importantly improve estimation precision.</p>
dc.description.comments <p>Copyright 2010 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.</p> <p>This article appeared in <em>AIP Conference Proceedings </em>1211 (2010): 687–694 and may be found at <a href="http://link.aip.org/link/doi/10.1063/1.3362461">http://dx.doi.org/10.1063/1.3362461</a>.</p>
dc.identifier archive/lib.dr.iastate.edu/cnde_conf/65/
dc.identifier.articleid 1069
dc.identifier.contextkey 3689819
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath cnde_conf/65
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/15686
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/cnde_conf/65/2009_Li_UsingBayesianModel.pdf|||Sat Jan 15 01:23:16 UTC 2022
dc.subject.disciplines Materials Science and Engineering
dc.subject.disciplines Statistics and Probability
dc.subject.disciplines Structures and Materials
dc.subject.keywords nondestructive testing
dc.subject.keywords Bayes methods
dc.subject.keywords multivariable systems
dc.subject.keywords nondestructive evaluation
dc.subject.keywords QNDE
dc.subject.keywords Statistics
dc.title Using a Bayesian model to jointly estimate the flaw size distribution and the pod function
dc.type article
dc.type.genre conference
dspace.entity.type Publication
relation.isAuthorOfPublication a1ae45d5-fca5-4709-bed9-3dd8efdba54e
relation.isOrgUnitOfPublication f2b877c3-5654-4c6a-9e64-6c944f9f02b6
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