Plenary Lecture

Mathematical Models for Eddy Current Testing

Professor Andrei Kolyshkin
Department of Engineering Mathematics
Riga Technical University
Latvia
E-mail: andrejs.koliskins@rbs.lv
 

Abstract: Eddy current method is one of nondestructive testing methods based on the law of electromagnetic induction. The basic principle of eddy current method can be described as follows. Consider a coil carrying an alternating current which is located in the vicinity of a conducting medium to be tested. A varying magnetic field (called the primary field) is generated by the current passing through the coil. This field induces eddy currents which, in turn, generate a varying magnetic field (called the secondary field). The variation of the output signal of the coil representing the sum of the primary and secondary fields can be used to draw conclusions about the properties of the tested medium. In particular, it can be used to detect flaws (for example, cracks or non-metallic inclusions) in the medium.
The talk is devoted to the analysis of mathematical models for eddy current testing. Media with constant properties in planar and cylindrical geometry as well as non-homogeneous conducting media with flaws and without flaws will be discussed.

Brief Biography of the Speaker:
Andrei Kolyshkin received his undergraduate degree in Applied Mathematics in 1976 at the Riga Technical University. In 1981 he received a Ph.D in differential equations and mathematical physics at the University of St. Petersburg. Andrei Kolyshkin is currently a full professor at the Department of Engineering Mathematics at the Riga Technical University. His current research interests include investigation of stability problems in fluid mechanics with applications to open-channel flows and transient flows in hydraulic systems and mathematical models for eddy current testing. He is the co-author of three monographs published by Academic Press and CRM. Andrei Kolyshkin has participated in more than 30 international conferences and has published more than 50 papers in refereed journals since 1990. As a visiting professor and visiting researcher he spent a few years at the University of Ottawa and Hong Kong University of Science and Technology.