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dc.contributor.authorLoeb, Andrew Emanuel
dc.identifier.otherbibid: 10361452
dc.description.abstractNon-destructive evaluation of structural components is critical for reducing costs from unnecessary replacements and maintenance. We study the utility of a non-contact modality for the inspection of structural components for the detection and characterization of damage in the form of through cracks and localized corrosion. We focus on the characterization of very small damage with a thermal imaging technique, since sensitivity to early stages of deterioration allows for simpler and less expensive repair than if a flaw propagates and becomes more threatening. The damage we consider interacts with the flow of heat so that a structure's thermal response to a known energy input can provide useful information for inference. Strategies are developed for optimizing a noise-sensitive thermographic experiment to produce optimal data for determining the otherwise hidden properties of the structure. Bayesian inference methods are developed for these tasks, as well as a novel heterogeneous computing method for rapidly simulating the conduction of heat through a three dimensional structure having heterogeneous material properties. Our optimized experiment design for crack characterization is found to produce the same quality of inference as previous settings with much more expensive equipment (e.g. powerful lasers and sensitive IR cameras). It is also found that detection and inference can be done on corrosion pits only millimeters deep in the rear side of a steel panel using thermal observations from the front side.
dc.subjectThermal Imaging
dc.subjectApplied mathematics
dc.subjectOperations research
dc.subjectCivil engineering
dc.subjectBayesian Inference
dc.subjectExperiment Optimization
dc.subjectHeterogeneous Computing
dc.subjectInverse Problems
dc.titleMathematical and computational developments for Bayesian inference of damage in structural components
dc.typedissertation or thesis Mathematics University of Philosophy D., Applied Mathematics
dc.contributor.chairEarls, Christopher J.
dc.contributor.committeeMemberSamorodnitsky, Gennady
dc.contributor.committeeMemberVladimirsky, Alexander B.

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