Abstract
A plane problem of magneto-elasticity is considered for a soft ferromagnetic medium weakened by several cracks, which are treated as mathematical cuts in the initial (non-deformed) state. Since the approach used to analyse the effect of magnetization of the medium on the stress state in the neighbourhood of a rectilinear crack [1–3]is inapplicable in the general case, a new procedure is developed. It is based on representing the mechanical and magnetic quantities in terms of arbitrary analytic functions. The boundary-value problem is reduced to a system of two singular real integral equations of the first kind. Formulae for the stress intensity factors at the crack tip are obtained. An example is presented.
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