Morphological instability of a stressed elastic conducting cylinder – effect of magnetomechanical interaction

Article type: Research Article

Authors: Yang, Fuqian^{a; *} | Song, Wei^a

Affiliations: [a] Department of Chemical and Materials Engineering, University of Kentucky, Lexington, KY 40506, USA

Correspondence: [*] Corresponding author. Tel.: +1 859 257 2994; Fax: +1 859 323 1929; E-mail: fyang0@engr.uky.edu

Abstract: The surface evolution of an elastic conducting cylinder carrying electric current was analyzed by considering the effect of magnetomechanical interaction and using the linear perturbation analysis. The driving force controlling the surface growth was the gradient of the chemical potential, consisting of the contributions of elastic energy, electromagnetic energy and surface energy. A general expression of the dispersion relation was obtained for describing the morphological evolution of the conducting cylinder subjected to self-induced magnetic field. It was found that the magnetomechanical interaction can enhance or inhibit the morphological instability of the elastic conducting cylinder when subjected to a far-field tensile stress. Such analysis might be of importance in understanding the surface evolution of nano-rods and nano-wires when carrying electric current.

DOI: 10.3233/JAE-2008-937

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 27, no. 1-2, pp. 9-24, 2008