Eddy Current Flow Near an Edge: A Comparison between Stratton-Chu and Magnetic Potential Formulations

Chao, J.; Lehther, Daksh; Moulder, John C.; Nakagawa, N.

doi:10.1007/978-1-4613-0383-1_45

Cited by 4 publications

(5 citation statements)

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“…These three cases are l) femte core probe only, 2) au core probe w1th conductlve test spec1men, and 3) femte core probe w1th conductlve test spec1men. Results obtamed for cases l and 2 have been reported m prevwus pubhcatwn [l] [4] and have shown excellent agreement between the expenmental data and the model outputs. For case 3, Table I The testwas performed at frequency of I Mhz, and the probe hft-off dtstance was 0 002 mches.…”

Section: Numerical Simulationmentioning

confidence: 54%

Boundary Element Method Based Probe Design Model Validation

Chao

Nakagawa

Raulerson

et al. 1997

Review of Progress in Quantitative Nondestructive Evaluation

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INTRODUCTIONThe mspectwn of aircraft engme components usmg eddy current (EC) techmques has played a vital roJe m the nondestructive evaluatwn mdustry. The objectlve of the mspectwn iS to determme the structural integnty of the components m a nomnvasive manner. The effectiveness of an EC probe design iS often evaluated m terms of the probability of detectwn (POD) of flaws. Many factors need to be considered when estlmatmg the POD. These factors mclude scan and mdex spacmgs, operatmg frequencies, and flaw morphologies. Traditionally, the EC probe design cycle iS JteratJvely performed expenmentally until one eJther meets or exceeds the mimmum reqmred POD. Undoubtedly, this iSatime consummg and expensive process smce a new probe has to be constructed and tested every time the design iS changed. A more sensible approach iS to numencally simulate the functwnality of probes so design improvements can be done iteratively using a computer under a CAD envuonment. The numerical probe design model is developed usmg the boundary mtegral equatwn (BIE) approach. By solvmg the BIEs numencally usmg the boundary element method (BEM), electromagnetic fields produced by the EC probes can be easily obtamed through simple numencal mtegratwn.In the mitml development phase of this model, only femte matenals were allowed. However, improvements to the model have recently been made to also mclude conductive ( or ferromagneue) materials. Therefore, this paper reports the progress made m vahdatmg the new EC probe design model. BACKGROUND

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Section: Numerical Simulationmentioning

confidence: 54%

Boundary Element Method Based Probe Design Model Validation

Chao

Nakagawa

Raulerson

et al. 1997

Review of Progress in Quantitative Nondestructive Evaluation

Self Cite

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“…It turned out, somewhat unexpectedly, that the extended scalar magnetic potential method distinguishes itself from the SC formulation in edge problems. As described in our companion paper [3], we studied edge phenomena by the two methods, one with the proposed approach, and the other with the Sratton-Chu formulation. Our method yielded intuitively correct eddy current flows near the edge, and moreover predicted correct edge impedance signals that agreed with experimental data.…”

Section: Discussion Features Of the Proposed Algorithmmentioning

confidence: 99%

“…Our companion papers [3,4] describe the details on numerical implementations and applications. Several distinguishing features of the extended scalar magnetic potential method are found: (a) Thanks to the scalar potential description, it is not exceedingly costly, unlike the Stratton-Chu approach, to include any number of ferrite cores in the computation.…”

Section: Discussionmentioning

confidence: 99%

“…(2) In Equations (1) and (2), the displacement current is dropped under the quasi-static condition. Taking the difference between (1) and (2), one finds that a scalar function'll can be introduced such that (3) and if ] is divergence-free,…”

Section: Extended Magnetic Scalar Potential Methods Single-valued Scalmentioning

confidence: 99%

“…We will derive the governing BIEs for each of the air, core, and part regions of the system described in Figure I. We will mention the benefits of our method over the SC formulation, but defer the details to our companion papers [3,4] that will describe the software implementation of the EMP formulation, its numerical tests, and its application to computer-aided EC probe designs. Throughout the paper, we assume that the quasi-static condition holds, known to be valid in most in-service EC inspections.…”

Section: Pumose Of the Papermentioning

confidence: 99%

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