Singular stresses for a circumferential edge crack in a cylindrical cavity under uniform axial electric current flow and magnetic field

This paper deals with the electromagnetoelastic problem of a circumferential edge crack in a cylindrical cavity under a uniform axial electric current flow and a constant axial magnetic field. The current flow is disturbed by the presence of the edge crack and the torsional stresses are caused by the interactions between the magnetic field and the disturbed current. Two problems concerning the electric current density field and the electromagnetoelastic field are formulated by means of integral transforms and reduced to two singular integral equations of the first kind. Numerical calculations are carried out and stress intensity factors are obtained for several values of geometric parameters. (author)