Analysis of a Nondestructive Evaluation Technique for Defect Characterization in Magnetic Materials Using Local Magnetic Measurements. (26th September 2010)

• Record Type: Journal Article
• Authors: Durand, Stephane; Cimrák, Ivan; Sergeant, Peter; Abdallh, Ahmed
• Other Names: Santos Ilmar Ferreira Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2010(2010)
• Publication Date: 2010-09-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2010/574153
• Languages: English
• ISSNs: 1024-123X

Abstract

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.