The magnetoelastic problem of cracks in bonded dissimilar materials

In this paper we consider the magnetoelastic problem of straight cracks lying along interface of two dissimilar soft ferromagnetic materials subjected to remote uniform magnetic induction. Based on the Hilbert problem formulation and the technique of analytical continuation, closed form solution for magnetic fields and both the magnetoelastic stresses and the Maxwell stresses are obtained. It is found that the singularity of magnetoelastic stresses has similar triglog character as those obtained for pure elastic problems which were free from the discontinuous jumps of the magnetic properties and fields across the interface. For illustrating the use of present approach, the detailed results for a single crack case are provided and verified by comparison with the existing ones under special cases. The numerical examples of magnetoelastic stress distribution for different material properties are presented graphically. Expressions of the stress intensity factors in the vicinity of crack tip and crack opening condition are also derived. It is shown that the crack open assumption is valid except a limiting range of distance measured from the crack tip