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Analysis of a nondestructive evaluation technique for defect characterization in magnetic materials using local magnetic measurements

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Abstract
We study a method for nondestructive testing of laminated strips of a nonlinear magnetic material. Based on local measurements of the magnetic induction at the surface, we are able to reconstruct the proper position of defects inside the material, by solving an inverse problem. This inverse problem is solved by minimizing a suitable cost function using a gradient-based optimization procedure. Calculation of the gradient is done either by the standard method of small perturbations or by solving the sensitivity equation. The latter method yields a significant reduction of the computational time. The validity of the proposed algorithm is confirmed by experimental results.

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Chicago
Durand, Stephane, Ivan Cimrak, Peter Sergeant, and Ahmed Mohamed Abouelyazied Abdallh. 2010. “Analysis of a Nondestructive Evaluation Technique for Defect Characterization in Magnetic Materials Using Local Magnetic Measurements.” Mathematical Problems in Engineering.
APA
Durand, S., Cimrak, I., Sergeant, P., & Mohamed Abouelyazied Abdallh, A. (2010). Analysis of a nondestructive evaluation technique for defect characterization in magnetic materials using local magnetic measurements. MATHEMATICAL PROBLEMS IN ENGINEERING.
Vancouver
1.
Durand S, Cimrak I, Sergeant P, Mohamed Abouelyazied Abdallh A. Analysis of a nondestructive evaluation technique for defect characterization in magnetic materials using local magnetic measurements. MATHEMATICAL PROBLEMS IN ENGINEERING. 2010;
MLA
Durand, Stephane et al. “Analysis of a Nondestructive Evaluation Technique for Defect Characterization in Magnetic Materials Using Local Magnetic Measurements.” MATHEMATICAL PROBLEMS IN ENGINEERING (2010): n. pag. Print.
@article{1046000,
  abstract     = {We study a method for nondestructive testing of laminated strips of a nonlinear magnetic material. Based on local measurements of the magnetic induction at the surface, we are able to reconstruct the proper position of defects inside the material, by solving an inverse problem.
This inverse problem is solved by minimizing a suitable cost function using a gradient-based optimization procedure. Calculation of the gradient is done either by the standard method of small perturbations or by solving the sensitivity equation. The latter method yields a significant reduction of the computational time. The validity of the proposed algorithm is confirmed by experimental results.},
  articleno    = {574153},
  author       = {Durand, Stephane and Cimrak, Ivan and Sergeant, Peter and Mohamed Abouelyazied Abdallh, Ahmed},
  issn         = {1024-123X},
  journal      = {MATHEMATICAL PROBLEMS IN ENGINEERING},
  language     = {eng},
  pages        = {18},
  title        = {Analysis of a nondestructive evaluation technique for defect characterization in magnetic materials using local magnetic measurements},
  url          = {http://dx.doi.org/10.1155/2010/574153},
  year         = {2010},
}

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