Explicit calculation of the crack tip stress intensity factor for the double slip plane model crack

Abstract

A more rigorous analysis is presented for the stationary double slip plane (DSP) crack loaded in mode III with constant friction stress on the slip planes. This analysis gives the dislocation distributions on the slip and crack planes. More important, the analysis leads to an explicit calculation of the crack tip stress intensity factor K t without resort to use of the J-integral or the Rice-Thompson expression for dislocation crack tip shielding/antishielding factor. It is shown that K t ≈ K for the stationary crack. With the results of this paper there are now essentially three independent methods of obtaining K t for a DSP crack.