Analysis of a Nondestructive Evaluation Technique for Defect Characterization in Magnetic Materials Using Local Magnetic Measurements | Zendy

Stéphane Durand | Zendy; Ivan Cimrák | Zendy; Peter Sergeant | Zendy; Ahmed AbouElyazied Abdallh | Zendy

Open Access

Analysis of a Nondestructive Evaluation Technique for Defect Characterization in Magnetic Materials Using Local Magnetic Measurements

Author(s) -

Stéphane Durand,

Ivan Cimrák,

Peter Sergeant,

Ahmed AbouElyazied Abdallh

Publication year - 2010

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2010/574153

Subject(s) - nondestructive testing , inverse problem , sensitivity (control systems) , inverse , position (finance) , nonlinear system , characterization (materials science) , inverse method , gradient method , strips , mathematical analysis , materials science , mathematics , mathematical optimization , algorithm , physics , engineering , optics , geometry , electronic engineering , finance , quantum mechanics , economics

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 functionusing 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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