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001435126 001__ 1435126
001435126 003__ OCoLC
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001435126 019__ $$a1243059793
001435126 020__ $$a9783030679569$$q(electronic bk.)
001435126 020__ $$a303067956X$$q(electronic bk.)
001435126 020__ $$z9783030679545
001435126 020__ $$z3030679543
001435126 0247_ $$a10.1007/978-3-030-67956-9$$2doi
001435126 035__ $$aSP(OCoLC)1243533736
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001435126 049__ $$aISEA
001435126 050_4 $$aTA417.2
001435126 08204 $$a620.1/127$$223
001435126 1001_ $$aSabbagh, Harold A.
001435126 24510 $$aAdvanced electromagnetic models for materials characterization and nondestructive evaluation /$$cHarold A. Sabbagh, R. Kim Murphy, Elias H. Sabbagh, Liming Zhou, Russell Wincheski.
001435126 260__ $$aCham :$$bSpringer,$$c2021.
001435126 300__ $$a1 online resource (353 pages)
001435126 336__ $$atext$$btxt$$2rdacontent
001435126 337__ $$acomputer$$bc$$2rdamedia
001435126 338__ $$aonline resource$$bcr$$2rdacarrier
001435126 4901_ $$aScientific Computation
001435126 500__ $$a7.10 Probability of Detection and the Chebychev Inequality.
001435126 504__ $$aIncludes bibliographical references and index.
001435126 5050_ $$aIntro -- Preface -- Acknowledgments -- Contents -- Part I Voxel-Based Inversion Algorithms -- 1 A Bilinear Conjugate-Gradient Inversion Algorithm -- 1.1 Optimization via Nonlinear Least-Squares -- 1.2 A Bilinear Conjugate-Gradient Inversion Algorithm Using Volume-Integrals -- 1.3 The Algorithm -- 1.4 Example: Raster Scan at Three Frequencies -- 2 Voxel-Based Inversion Via Set-Theoretic Estimation -- 2.1 The Electromagnetic Model Equations -- 2.2 Set-Theoretic Estimation -- 2.3 Statistical Analysis of the Feasible Set -- 2.4 A Layer-Stripping Algorithm
001435126 5058_ $$a2.5 Some Examples of the Inversion Algorithm -- 2.6 Application to Aircraft Structures -- Part II Materials Characterization -- 3 Modeling Composite Structures -- 3.1 Background -- 3.2 Constitutive Relations for Advanced Composites -- 3.3 Example Calculations Using VIC-3D® -- 3.4 A Coupled-Circuit Model of Maxwell's Equations -- 3.5 Eddy-Current Detection of Prepreg FAWT -- 3.6 An Anisotropic Inverse Problem for Measuring FAWT -- 3.6.1 Return to an Analysis of Fig. 3.10 -- 3.7 Further Results for Permittivity -- 3.8 Comments and Conclusions -- 3.9 Eigenmodes of Anisotropic Media
001435126 5058_ $$a3.10 Computing a Green's Function for a Layered Workpiece -- 3.11 An Example of the Multilayer Model -- 3.12 A Bulk Model -- 4 Application of the Set-Theoretic Algorithm to CFRP's -- 4.1 Background -- 4.2 Statistical Analysis of the Feasible Set -- 4.3 An Anisotropic Inverse Problem for Measuring FAWT -- 4.3.1 First Set-Theoretic Result -- 4.3.2 Second Set-Theoretic Result -- 4.3.3 Comment -- 4.4 Modeling Microstructure Quantification Problems -- 4.4.1 Delaminations -- 4.4.2 Transverse Ply with Microcrack -- 4.5 Layer-Stripping for Anisotropic Flaws
001435126 5058_ $$a4.6 Advanced Features for Set-Theoretic Microstructure Quantification -- 4.6.1 A Heuristic Iterative Scheme to Determine a Zero-Cutoff Threshold -- 4.7 Progress in Modeling Microstructure Quantification -- 4.8 Handling Rotations of Anisotropic Media -- 5 An Electromagnetic Model for Anisotropic Media: Green's Dyad for Plane-Layered Media -- 5.1 Theory -- 5.2 Applications -- 5.3 Some Inverse Problems with Random Anisotropies -- 5.4 Detectability of Flaws in Anisotropic Media: Application to Ti64 -- 6 Stochastic Inverse Problems: Models and Metrics -- 6.1 Introducing the Problem
001435126 5058_ $$a6.2 NLSE: Nonlinear Least-Squares Parameter Estimation -- 6.3 Confidence Levels: Stochastic Global Optimization -- 6.4 Summary -- 7 Integration of Functionals, PCM and Stochastic IntegralEquations -- 7.1 Theoretical Background -- 7.2 Probability Densities and Numerical Procedures -- 7.3 Second-Order Random Functions -- 7.4 A One-Dimensional Random Surface -- 7.5 gPC and PCM -- 7.6 HDMR and ANOVA -- 7.7 Determining the ANOVA Anchor Point -- 7.8 Interpolation Theory Using Splines Based Upon Higher-Order Convolutions of the Unit Pulse -- 7.9 Two-Dimensional Functions
001435126 506__ $$aAccess limited to authorized users.
001435126 520__ $$aThis book expands on the subject matter of Computational Electromagnetics and Model-Based Inversion: A Modern Paradigm for Eddy-Current Nondestructive Evaluation. It includes (a) voxel-based inversion methods, which are generalizations of model-based algorithms; (b) a complete electromagnetic model of advanced composites (and other novel exotic materials), stressing the highly anisotropic nature of these materials, as well as giving a number of applications to nondestructive evaluation; and (c) an up-to-date discussion of stochastic integral equations and propagation-of-uncertainty models in nondestructive evaluation. As such, the book combines research started twenty-five years ago in advanced composites and voxel-based algorithms, but published in scattered journal articles, as well as recent research in stochastic integral equations. All of these areas are of considerable interest to the aerospace, nuclear power, civil infrastructure, materials characterization and biomedical industries. The book covers 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. It is therefore more than an academic exercise and is valuable to users of eddy-current NDE technology in industries as varied as nuclear power, aerospace, materials characterization and biomedical imaging.
001435126 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 5, 2021).
001435126 650_0 $$aNondestructive testing.
001435126 650_0 $$aElectromagnetic testing.
001435126 650_6 $$aContrôle non destructif.
001435126 650_6 $$aEssais électromagnétiques.
001435126 655_0 $$aElectronic books.
001435126 7001_ $$aMurphy, R. Kim.
001435126 7001_ $$aSabbagh, Elias H.
001435126 7001_ $$aZhou, Liming.
001435126 7001_ $$aWincheski, Russell.
001435126 77608 $$iPrint version:$$aSabbagh, Harold A.$$tAdvanced Electromagnetic Models for Materials Characterization and Nondestructive Evaluation.$$dCham : Springer International Publishing AG, ©2021$$z9783030679545
001435126 830_0 $$aScientific computation.
001435126 852__ $$bebk
001435126 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-67956-9$$zOnline Access$$91397441.1
001435126 909CO $$ooai:library.usi.edu:1435126$$pGLOBAL_SET
001435126 980__ $$aBIB
001435126 980__ $$aEBOOK
001435126 982__ $$aEbook
001435126 983__ $$aOnline
001435126 994__ $$a92$$bISE