Electromagnetic Modeling of a Damaged Ferromagnetic Metal Tube by a Volume Integral Equation Formulation

Skarlatos, Anastassios; Pichenot, Grégoire; Lesselier, Dominique; Lambert, Marc; Duchêne, Bernard

doi:10.1109/tmag.2008.918206

Cited by 27 publications

(23 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The norm of the function f is f 2 = f, f . Imposing the continuity of the normal magnetic induction and the tangential magnetic field components in the weak sense, we arrive at the following system of equations (for every angular mode m) 2 : …”

Section: B Contribution From the Holementioning

confidence: 99%

“…Integral-equation-based methods, such as the surface integral method [1] or the volume integral method [2], have proved to be a well adapted tool for the calculation of flaw interaction with the inspection probe. Their principle advantages in comparison with other numerical tools, like the finite-element method (FEM), consist in the restriction of the discretization on/in the flaw boundary/domain, respectively, and the direct calculation of the perturbation owing to the flaw without need of calculating the problem with and without the flaw as is the case in the FEM simulations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Calculation of the Eddy-Current Flow Around a Cylindrical Through-Hole in a Finite-Thickness Plate

Skarlatos

Theodoulidis

2015

IEEE Trans. Magn.

View full text Add to dashboard Cite

A semianalytical solution to the eddy-current induction problem in a conducting, nonmagnetic plate near a cylindrical through-hole is derived by means of the second-order vector potential and the domain truncation technique. The construction of a solution, which simultaneously satisfies the field continuity across the cylindrical surface of the hole and the planar interfaces of the plate, proves to be a very challenging problem, and thus, a special superposition of partial subsolutions is proposed. The presented solution is part of a more general development aiming at the calculation of the probe interaction with material flaws located in the vicinity of the hole by means of the integral equation formalism. These tasks will be the subject of a future paper. The comparison of the semianalytical results against both finite-element simulations as well as experimental data demonstrates excellent agreement.Index Terms-Domain truncation, eddy-current testing (ECT), fastener inspection, impedance calculation, mode matching. 0018-9464

show abstract

Section: B Contribution From the Holementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Calculation of the Eddy-Current Flow Around a Cylindrical Through-Hole in a Finite-Thickness Plate

Skarlatos

Theodoulidis

2015

IEEE Trans. Magn.

View full text Add to dashboard Cite

show abstract

“…Substituting equation (11) into equation (5) and considering the scalar potential, yields: t A E (12) and combining equation (10) with equation (12) leads to the following equation:…”

Section: Basic Equationsmentioning

confidence: 99%

Eddy Current Sensor Modeling for the Nondestructive Evaluation of Stress Intensity Factor

Harzallah

Chabaat

2014

AASRI Procedia

View full text Add to dashboard Cite

“…By applying Green's second theorem, imposing BCs at the interfaces and at infinity [13,14], we obtain the volume integral equations in terms of dyadic Green's functions in layer j…”

Section: Introductionmentioning

confidence: 99%

Evaluation of eddy-current probe signals due to cracks in ferromagnetic parts of fast reactor

Wu¹,

Bowler²

2017

AIP Conference Proceedings

View full text Add to dashboard Cite

Abstract. Eddy current testing to evaluate the condition of metallic parts in a sodium cooled fast reactor under standby conditions is challenging due to the presence of liquid sodium at 250• C. The eddy current test system should be sensitive enough to capture small signal changes and hence an advanced inspection systems is needed. We have developed new hardware and improved numerical models to predict the eddy current probe signal due to cracks in metallic fast reactor parts by using volume integral equation method. The analytical expressions are derived for the quasi-static time-harmonic electromagnetic fields of a circular eddy current coil which interacts with conductive plate. Naturally, the method of moment is used to approximate the integral equation and obtain the discrete approximation of the field in the crack domain. A simple and accurate analytical method for dealing with the hyper-singularity element evaluation is also provided. An accurate controlled experiment is carried out on the ferromagnetic stainless steel plate with precision made notch to obtain reference impedance changes for comparison with the theoretical model predictions. Good agreement between predictions and experiment is obtained.

show abstract

Electromagnetic Modeling of a Damaged Ferromagnetic Metal Tube by a Volume Integral Equation Formulation

Cited by 27 publications

References 21 publications

Calculation of the Eddy-Current Flow Around a Cylindrical Through-Hole in a Finite-Thickness Plate

Calculation of the Eddy-Current Flow Around a Cylindrical Through-Hole in a Finite-Thickness Plate

Eddy Current Sensor Modeling for the Nondestructive Evaluation of Stress Intensity Factor

Evaluation of eddy-current probe signals due to cracks in ferromagnetic parts of fast reactor

Contact Info

Product

Resources

About