Lorentz force-induced stresses in long current-carrying conductors

Article type: Research Article

Authors: Deviatkin, E.A.^{a; *}

Affiliations: [a] Institute for Problems in Mechanics of Russian Academy of Sciences, Vernadskogo 101, Moscow 119526, Russia

Correspondence: [*] Correspondence address: Michurinsky Prospect 10-1-17, Moscow 119192, Russia. Tel.: +095 143 3517 (home), 434 4664 (work); Fax: +095 938 2048; E-mail: [email protected]

Abstract: Technique for calculation of Lorentz force-induced stresses in long straight conductors with the uniform current density in the presence of an external magnetic field is proposed. Reduction of the plane elastic problem for the conductor of a narrow rectangular cross section embedded in an arbitrary external field to the known homogeneous problems is considered. As an example stress analysis of an elliptical conductor with the stress-free lateral surface under the interaction of the current with its self field is performed and particular solutions of the problem of the interaction with the external field produced by the current flowing in an analogous conductor are given.

DOI: 10.3233/JAE-2002-228

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 16, no. 1-2, pp. 99-110, 2002