Characterization of a 3D defect using the expected improvement algorithm

Bilicz, Sándor; Vázquez, Emmanuel; Lambert, Marc; Gyimóthy, Szabolcs; Pávó, József

doi:10.1108/03321640910958964

Cited by 12 publications

(11 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The defect is characterized by its length (L) and depth (D, given in % of plate thickness) leading to a 2-dimensional input parameter vector x. The surface scan of the probe coil is centered on the crack and contains q = 841 measurement points and the corresponding q ΔZ complex values (5) are stored in the output parameter vector y.…”

Section: Illustrative Ect Problemmentioning

confidence: 99%

“…Some applications in electromagnetics are presented for instance in [4]. Also the authors have applied kriging to solve ECT inverse problems in [5]. However, the approach of [5] focuses on the kriging prediction of a cost-function (to be minimized in an optimization loop) -now the present paper deals with the use of kriging directly on the output signal.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Kriging for Eddy-Current Testing Problems

et al. 2010

Self Cite

View full text Add to dashboard Cite

International audienceAccurate numerical simulation of Eddy-Current Testing (ECT) experiments usually requires large computational efforts. So, a natural idea is to build a cheap approximation of the expensive-to-run simulator. This paper presents an approximation method based on functional kriging. Kriging is widely used in other domains, but is still unused in the ECT community. Its main idea is to build a random process model of the simulator. The extension of kriging to the case of functional output data (which is the typical case in ECT) is a recent development of mathematics. The paper introduces functional kriging and illustrates its performance via numerical examples using an ECT simulator based on a surface integral method. A comparison with other classical data interpolation methods is also carried out

show abstract

Section: Illustrative Ect Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Kriging for Eddy-Current Testing Problems

et al. 2010

Self Cite

View full text Add to dashboard Cite

show abstract

“…However, to date, little research has been carried out in applying Kriging models to crack identification in plates. Bilicz et al [23] provides a methodology for the characterization of a 3D defect embedded in a conductive nonmagnetic plate from the measurement of the impedance variations of an aircored pancake coil at eddy current frequencies based on Kriging interpolation using the Expected Improvement algorithm. However, the boundary of the defect model must be parallel or perpendicular to the plate, which somewhat diminishes its utility.…”

Section: Introductionmentioning

confidence: 99%

Crack Identification of Cantilever Plates Based on a Kriging Surrogate Model

Gao¹,

Guo

Ouyang

et al. 2013

Journal of Vibration and Acoustics

View full text Add to dashboard Cite

This work presents an effective method to identify the tip locations of an internal crack in cantilever plates based on a Kriging surrogate model. Samples of varying crack parameters (tip locations) and their corresponding root mean square (RMS) of random responses are used to construct the initial Kriging surrogate model. Moreover, the pseudo excitation method (PEM) is employed to speed up the spectral analysis. For identifying crack parameters based on the constructed Kriging model, a robust stochastic particle swarm optimization (SPSO) algorithm is adopted for enhancing the global searching ability. To improve the accuracy of the surrogate model without using extensive samples, a small number of samples are first used. Then an optimal point-adding process is carried out to reduce computational cost. Numerical studies of a cantilever plate with an internal crack are performed. The effectiveness and efficiency of this method are demonstrated by the identified results. The effect of initial sampling size on the precision of the identified results is also investigated.

show abstract

“…By now, this method has been implemented in commercial softwares, e.g. CIVA (2007), and has been successfully applied in inversion algorithms as well (Bilicz et al, 2009). The volume integral method has recently been revisited in Reboud et al (2008), where the EM field is expanded by means of locally defined splines.…”

Section: Introductionmentioning

confidence: 99%

Calculation of eddy-current probe signal for a 3D defect using global series expansion

Bilicz

Pávó

Gyimóthy

2013

COMPEL

View full text Add to dashboard Cite

Purpose -The purpose of this paper is to present a novel eddy-current modeling technique of volumetric defects embedded in conducting plates. This problem is of great interest in electromagnetic non-destructive evaluation and has already been exhaustively studied. Design/methodology/approach -The defect is modeled by a volumetric current dipole density which satisfies an integral equation. The latter is solved by the classical method of moments. The authors propose the use of globally defined, continuous basis functions for the expansion of the current dipole density. Findings -The proposed global expansion provides an improvement of the numerical stability and the performance of the simulation, over classical approaches. The proposed method is tested against both measured and synthetic data obtained by a different defect model. Originality/value -The new discretisation scheme -in contrast to the classical approaches -does not need the discretisation of the defect volume. This involves numerous advantages that are discussed in the paper.

show abstract

Characterization of a 3D defect using the expected improvement algorithm

Cited by 12 publications

References 7 publications

Kriging for Eddy-Current Testing Problems

Kriging for Eddy-Current Testing Problems

Crack Identification of Cantilever Plates Based on a Kriging Surrogate Model

Calculation of eddy-current probe signal for a 3D defect using global series expansion

Contact Info

Product

Resources

About