Assessment of the probability of failure for EC nondestructive testing based on intrusive spectral stochastic finite element method

¹ Laboratoire de Génie Electrique, Univ. Mouloud Mammeri de Tizi-Ouzou, BP 17 RP, Route de Hasnaoua, 15000 Tizi-Ouzou, Algeria
² IREENA, CRTT-IUT, Saint-Nazaire, Univ. Nantes, BP 406, 44602 Saint-Nazaire Cedex, France

^a e-mail: mohellebi@yahoo.fr

Received: 27 October 2013
Revised: 23 March 2014
Accepted: 3 April 2014
Published online: 12 June 2014

Abstract

This work is undertaken to study the reliability of eddy current nondestructive testing (ED-NDT) when the defect concerns a change of physical property of the material. So, an intrusive spectral stochastic finite element method (SSFEM) is developed in the case of 2D electromagnetic harmonic equation. The electrical conductivity is considered as random variable and is developed in series of Hermite polynomials. The developed model is validated from measurements on NDT device and is applied to the assessment of the reliability of failure in steam generator tubing of nuclear power plants. The exploitation of the model concerns the impedance calculation of the sensor and the assessment of the reliability of failure. The random defect geometry is also considered and results are given.