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Unified regularization of 2D singular integrals for axisymmetric Galerkin BEM in eddy-current evaluation

delete2026-06-18
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PRE
AI
罗耀 (Yao Luo)
DOI:10.1016/j.enganabound.2026.106866delete
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Abstract

Abstract

En 中文
This paper presents an axisymmetric Galerkin boundary element method (BEM) for modeling eddy-current interactions between excitation coils and conductive objects. The formulation derives boundary integral equations from the Stratton–Chu representation for the azimuthal component of the vector potential in both air and conductive regions. The central contribution is a unified regularization framework for the two-dimensional (2D) singular integrals arising in Galerkin BEM. This framework handles both logarithmic and Cauchy singularities through a common set of integral transformations, eliminating the need for case-by-case analytical singularity extraction and enabling straightforward numerical quadrature. The regularization and quadrature stability are proved and verified numerically. The method is validated on several representative axisymmetric geometries, including cylindrical, conical, and spherical shells. Numerical experiments demonstrate consistently high accuracy and computational efficiency over the tested frequency interval and coil lift-off distances. The results confirm that the proposed axisymmetric Galerkin BEM, combined with the integral transformation technique, provides a robust and efficient framework for axisymmetric eddy-current nondestructive evaluation.

Journal

Engineering Analysis with Boundary Elements cover
Engineering Analysis with Boundary Elements
IF:
4.1
Papers:
5.7K
Citations:
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