TRANSIENT EFFECT ON IDEALLY PLASTIC STATIONARY CRACK-TIP FIELDS

This paper analyses the transient effect on ideally plastic stationary crack-tip fields under mode I plane strain conditions, when the inert ial forces are not negligible. It is shown that the governing equation for such a problem can be expressed in formal simplicity when referre d to a system of moving curvilinear coordinates, which is a generaliza tion of the system defined by the slip-line field in quasi-static plas ticity. A perturbation method of solving the equations is described an d illustrated by application to problems of ideally plastic stationary crack-tip fields when the inertia forces are not negligible.