A PLANE PROBLEM OF MAGNETO-ELASTICITY FOR A FERROMAGNETIC MEDIUM WEAKENED BY CUTS

A plane problem of magneto-elasticity is considered for a soft ferroma gnetic medium weakened by several cracks, which are treated as mathema tical cuts in the initial (non-deformed) state. Since the approach use d to analyse the effect of magnetization of the medium on the stress s tate in the neighbourhood of a rectilinear crack [1-3] is inapplicable in the general case, a new procedure is developed. It is based on rep resenting 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 f or the stress intensity factors at the crack tip are obtained. An exam ple is presented.