Solutions for curvilinear cracks in bonded dissimilar materials subject to uniform magnetic induction

Article type: Research Article

Authors: Lin, Hsien-Mou^a | Lin, Chun-Bo^{a; *} | Chen, Shin-Cheng^a

Affiliations: [a] Department of Automation Engineering, Nan Kai College, Nantou, Taiwan 542

Correspondence: [*] Corresponding author. Fax: +886 49 2565674; E-mail: [email protected]

Abstract: The magnetoelastic problem of curvilinear cracks lying along the interface between two dissimilar ferromagnetic materials under remote uniform magnetic induction is considered. On the basis of the Hilbert formulation and a special technique of analytical continuation, the solutions of the magnetic and the magnetoelastic stress fields either in the matrix or in the inclusion are expressed in a general form. Just like the pure elastic problem of curved cracks or the magnetoelastic problem of straight cracks in bonded dissimilar media, the trig-log character for the singularity of magnetoelastic stresses is found in this paper. Both the explicit solutions and the numerical results for the illustrating case of a single circular-arc crack in bi-material plate with typical ferromagnetic materials are given to elucidate the use of the present study. It is noted that the stress intensity factors are obtained and verified by comparison with the existing ones under special cases. The validity of the crack opening condition is also discussed.

DOI: 10.3233/JAE-2004-298

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 20, no. 2, pp. 81-103, 2004