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An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques

An Application of a Reduced Order Computational Methodology for Eddy Current Based Nondestructive Evaluation Techniques
Author:
Publisher:
Total Pages:
Release: 2001
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ISBN:

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In the field of nondestructive evaluation, new and improved techniques are constantly being sought to facilitate the detection of hidden corrosion and flaws in structures such as airplanes and pipelines. In this dissertation, we explore the feasibility of detecting such damages by application of an eddy current based technique and reduced order modeling. We begin by developing a model for a specific eddy current method in which we make some simplifying assumptions reducing the three-dimensional problem to a two-dimensional problem. (We do this for proof-of-concept.) Theoretical results are then presented which establish the existence and uniqueness of solutions as well as continuous dependence of the solution on the parameters which represent the damage. We further discuss theoretical issues concerning the least squares parameter estimation problem used in identifying the geometry of the damage. To solve the identification problem, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical setting, the forward algorithm must be solved with extremely fast and accurate solution methods. Therefore in constructing these computational methods, we employ reduced order Proper Orthogonal Decomposition (POD) techniques which allows one to create a set of basis elements spanning a data set consisting of either numerical simulations or experimental data. We investigate two different approaches in forming the POD approximation, a POD/Galerkin technique and a POD/Interpolation technique. We examine the error in the approximation using one approach versus the other as well as present results of the parameter estimation problem for both techniques. Finally, results of the parameter estimation problem are given using both simulated data with relative noise added as well as experimental data obtained using a giant magnetoresistive (GMR) sensor. The experimental results are based on successfully using act.


Nondestructive Evaluation Using a Reduced Order Computational Methodology

Nondestructive Evaluation Using a Reduced Order Computational Methodology
Author: Michele L. Joyner
Publisher:
Total Pages: 24
Release: 2000
Genre:
ISBN:

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This paper uses eddy current based techniques and reduced order modeling to explore the feasibility of detecting a subsurface damage in structures such as air foils and pipelines. To identify the geometry of a damage, an optimization algorithm is employed which requires solving the forward problem numerous times. To implement these methods in a practical setting, the forward algorithm must be solved with extremely fast and accurate solution methods. Therefore, our computational methods are based on the reduced order Karhunen-Loeve or Proper Orthogonal Decomposition (POD) techniques. For proof-of-concept, we implement the methodology on a 2-D problem and find the methods to be efficient and robust even with data containing 10% relative noise. Furthermore, the methods are fast; our findings suggest we can reduce the computational time on average by a factor of 3000.


Electromagnetic Nondestructive Evaluation (VI)

Electromagnetic Nondestructive Evaluation (VI)
Author: Fumio Kojima
Publisher: IOS Press
Total Pages: 324
Release: 2002
Genre: Science
ISBN: 9781586032456

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This work is a collection of papers on electromagnetic nondestructive evaluation. It discusses developments in the growing field of electromagnetic nondestructive evaluation methods. Topics include evaluation of degradation mechanism in magnetic materials.


Eddy-Current Nondestructive Evaluation

Eddy-Current Nondestructive Evaluation
Author: Nicola Bowler
Publisher: Springer
Total Pages: 217
Release: 2019-08-01
Genre: Technology & Engineering
ISBN: 1493996290

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This book covers the topic of eddy current nondestructive evaluation, the most commonly practiced method of electromagnetic nondestructive evaluation (NDE). It emphasizes a clear presentation of the concepts, laws and relationships of electricity and magnetism upon which eddy current inspection methods are founded. The chapters include material on signals obtained using many common eddy current probe types in various testing environments. Introductory mathematical and physical concepts in electromagnetism are introduced in sufficient detail and summarized in the Appendices for easy reference. Worked examples and simple calculations that can be done by hand are distributed throughout the text. These and more complex end-of-chapter examples and assignments are designed to impart a working knowledge of the connection between electromagnetic theory and the practical measurements described. The book is intended to equip readers with sufficient knowledge to optimize routine eddy current NDE inspections, or design new ones. It is useful for graduate engineers and scientists seeking a deeper understanding of electromagnetic methods of NDE than can be found in a guide for practitioners.


Electromagnetic Nondestructive Evaluation (IV)

Electromagnetic Nondestructive Evaluation (IV)
Author: Satish S. Udpa
Publisher: IOS Press
Total Pages: 276
Release: 2000
Genre: Science
ISBN: 9781586030230

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A description of the state of the art in electromagnetic nondestructive evaluation (NDE) techniques. Topics covered range from magnetostatic to eddy current and microwave NDE methods. Advances in materials characterization, forward/simulation models, sensor design and inverse methodologies are discussed. The book also includes contributions on benchmark problems and solutions.


Electromagnetic Nondestructive Evaluation (XII)

Electromagnetic Nondestructive Evaluation (XII)
Author: Young-Kil Shin
Publisher: IOS Press
Total Pages: 444
Release: 2009
Genre: Science
ISBN: 160750023X

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"The 13th International Workshop on Electromagnetic Nondestructive Evaluation (ENDE) was held at the Seoul Education and Cultural Center, Seoul, Korea from June 10 through 12, 2008."--P. v.


Electromagnetic Non-Destructive Evaluation (XXI)

Electromagnetic Non-Destructive Evaluation (XXI)
Author: D. Lesselier
Publisher: IOS Press
Total Pages: 292
Release: 2018-05-25
Genre: Science
ISBN: 1614998361

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Electromagnetic Nondestructive Evaluation (ENDE) is a technique crucial to a great many engineering activities, as well as to environmental evaluation and protection issues. It is a discipline recognized for its theoretical insight, efficient models and simulations, robust data interpretation, and accurate instrumentation. This book presents contributions from the 22nd ENDE International Workshop, held in Saclay, France, in September 2017. It includes 1 of the 3 keynotes and 34 peer-reviewed and extended versions of the 47 oral contributions delivered during the workshop. Topics covered include static to THz electromagnetic; smart models and high-performance computations; advanced sensors; adaptive databases; model selection and the qualification of uncertainty; multi-sensor data fusion; the monitoring and diagnosis of mechanical structures; and innovative industrial applications. The book will be of interest to all those whose work involves the development or use of electromagnetic non-destructive evaluation.


Computational Electromagnetics and Model-Based Inversion

Computational Electromagnetics and Model-Based Inversion
Author: Harold A Sabbagh
Publisher: Springer Science & Business Media
Total Pages: 456
Release: 2013-06-22
Genre: Technology & Engineering
ISBN: 1441984291

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This volume will define the direction of eddy-current technology in nondestructive evaluation (NDE) in the twenty-first century. It describes the natural marriage of the computer to eddy-current NDE, and its publication was encouraged by favorable responses from workers in the nuclear-power and aerospace industries. It will be used by advanced students and practitioners in the fields of computational electromagnetics, electromagnetic inverse-scattering theory, nondestructive evaluation, materials evaluation and biomedical imaging, among others, and will be based on our experience in applying the subject of computational electromagnetics to these areas, as manifested by our recent research and publications. Finally, it will be a reference to future monographs on advanced NDE that are being contemplated by our colleagues and others. Its importance lies in the fact that it will be the first book to show that advanced computational methods can be used to solve practical, but difficult, problems in eddy-current NDE. In fact, in many cases these methods are the only things available for solving the problems. The book will cover the topic of computational electromagnetics in eddy-current nondestructive evaluation (NDE) by emphasizing three distinct topics: (a) fundamental mathematical principles of volume-integral equations as a subset of computational electromagnetics, (b) mathematical algorithms applied to signal-processing and inverse scattering problems, and (c) applications of these two topics to problems in which real and model data are used. This will make the book more than an academic exercise; we expect it to be valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging. We know of no other book on the market that covers this material in the manner in which we will present it, nor are there any books, to our knowledge, that apply this material to actual test situations that are of importance to the industries cited. It will be the first book to actually define the modern technology of eddy-current NDE, by showing how mathematics and the computer will solve problems more effectively than current analog practice.


Electromagnetic Nondestructive Evaluation (VII)

Electromagnetic Nondestructive Evaluation (VII)
Author: Gerd Dobmann
Publisher: IOS Press
Total Pages: 348
Release: 2006
Genre: Science
ISBN: 9781586035945

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The aim of this selection of papers is to bring together researchers working very deep in the basics of electromagnetic NDT on one hand and industrialist discussing their practical problems on the other hand. The papers cover topics as; Microwave applications and Material Characterization; General Eddy Current Inspection Tasks; Novel Techniques and Sensors; Magnetic Flux leakage Inspection; Steam Generator Eddy Current Inspection Tasks; and Material Characterization. Especially Novel Techniques and Sensors and Material Characterization are discussed on multiple papers. This publication gives a good overview of the many scientific problems in this area, but also explains the actual challenges for the scientific-technical community, like problems with in-line inspection of pipelines or the enhancing of the inspection performance in steam generator tubes inspection in the nuclear field. The material is important for scientists and engineers working in the field of electromagnetic non-destructive testing, in defect detection and sizing, as well as in material characterization.