A NOVEL BOUNDARY INTEGRAL EQUATION FOR SURFACE CRACK MODEL
Author(s) -
Hui Xie,
Jiming Song,
Ming Yang,
N. Nakagawa,
Donald O. Thompson,
Dale E. Chimenti
Publication year - 2010
Publication title -
aip conference proceedings
Language(s) - English
Resource type - Conference proceedings
SCImago Journal Rank - 0.177
H-Index - 75
eISSN - 1551-7616
pISSN - 0094-243X
DOI - 10.1063/1.3362412
Subject(s) - integral equation , electric field integral equation , eddy current , mathematical analysis , surface (topology) , directional derivative , method of moments (probability theory) , conductor , derivative (finance) , boundary (topology) , boundary value problem , mathematics , field (mathematics) , physics , geometry , statistics , quantum mechanics , estimator , financial economics , pure mathematics , economics
A novel boundary integral equation (BIE) is developed for eddy‐current nondestructive evaluation problems with surface crack under a uniform applied magnetic field. Once the field and its normal derivative are obtained for the structure in the absence of cracks, normal derivative of scattered field on the conductor surface can be calculated by solving this equation with the aid of method of moments (MoM). This equation is more efficient than conventional BIEs because of a smaller computational domain needed.
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