Abstract
The paper has two different objectives. The first one is to show that Ampere’s double layer method, which is equivalent to one of the Maxwell equations, leads to the integration of a simple closed form expression, thus avoiding the need to solve complicated partial differential equations. The second aim is to study the case of a zero volume defect in a NDE problem by a perturbation method and the introduction of a double layer. The combination of these two techniques leads to a very fast solution of the problem. A practical example including
Highlights
The purpose of this paper is two-fold
We create a uniform alternating field B!"# = B!cosOx (see figure 1 (a)), and we evaluate the field of the eddy currents
The scalar magnetic potential created by a magnetic mass dm at distance r being dm/4πr, the scalar magnetic potential created by the magnetic dipole (figure 6 (b)), or by the current loop is equal to: V = δ. dm/4π . sinθ/r! = IdS/4π . [sinθ/r!]. (9)
Summary
The purpose of this paper is two-fold. Initially, we wanted to study the NDE detection of a zero volume crack in an aluminum plate. We may either directly evaluate the currents, or directly evaluate the difference between the currents in the flawless and in the defective plates. In both cases, we shall have the choice between using a double Fourier series expansion or a finite element (or finite difference) method. We shall see that any finite difference or finite element method leads directly to the characterization of Ampere’s layer and to an evaluation of the crack effect. The “power” of the double layer is equal to the loop current. The scalar magnetic potential created by a magnetic mass dm at distance r being dm/4πr, the scalar magnetic potential created by the magnetic dipole (figure 6 (b)), or by the current loop is equal to:
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
