A Numerical Method for Simulation of Nonlinear Eddy Current Testing Signals Based on Transient Ar Formulation

Shejuan Xie; Yunfei Li; Wenlu Cai; Hong-En Chen; Zhenmao Chen; Toshiyuki Takagi; Tetsuya Uchimoto; Yasuhiko Yoshida

doi:10.2320/matertrans.M2013034

A Numerical Method for Simulation of Nonlinear Eddy Current Testing Signals Based on Transient A_r Formulation

Shejuan Xie, Yunfei Li, Wenlu Cai, Hong-En Chen, Zhenmao Chen, Toshiyuki Takagi, Tetsuya Uchimoto, Yasuhiko Yoshida

Author information

Shejuan Xie
State Key Lab for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University
Institute of Fluid Science, Tohoku University
Yunfei Li
State Key Lab for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University
Wenlu Cai
State Key Lab for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University
Hong-En Chen
State Key Lab for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University
Zhenmao Chen
State Key Lab for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University
Toshiyuki Takagi
Institute of Fluid Science, Tohoku University
Tetsuya Uchimoto
Institute of Fluid Science, Tohoku University
Yasuhiko Yoshida
The Kansai Electric Power Company

Keywords: numerical method, nonlinear Eddy current testing (ECT), transient problem, A_r method, edge element

JOURNAL FREE ACCESS

2013 Volume 54 Issue 6 Pages 964-968

DOI https://doi.org/10.2320/matertrans.M2013034

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Abstract

To explore the principle and to optimize the nonlinear Eddy Current Testing (ECT) system, a forward numerical analysis code for nonlinear ECT signal simulation is indispensable. In this paper, an edge element numerical code of the transient A_r (reduced A) formulation is developed for this purpose. The nonlinear feature of the permeability in each element is taken into account at every time step during step by step numerical integration procedure. The dependence of the third harmonic component of the response signals on the initial permeability is investigated by using the developed code. The qualitative agreement of the simulation and the experimental results demonstrated the feasibility of the proposed simulation method and the corresponding numerical code.

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