Development of plastic zone near tip of interfacial crack with contacting faces

Abstract

The parameters of a narrow small-scale plastic zone in an elastoplastic piece-wise homogeneous body undergoing a shear near the tip of an interfacial crack are calculated under plane strain conditions using the Wiener-Hopf method. Crack faces are in contact with friction. The plastic zone issuing out of the crack tip at an angle to a plane interface between media is modeled as the straight line of a displacement discontinuity involving two sections. Both tangential and normal displacements undergo the discontinuity at the section adjacent to the crack tip that models material destruction area. At the other section, only the tangential displacement experiences the discontinuity. The angle between the plastic zone and interface between the media is defined from the condition that the rate of energy dissipation in the zone is maximal. The sizes of the entire plastic zone, destruction zone and shear opening displacement of the crack in its tip are determined. It is studied how the friction of the crack faces, load, and the mechanical characteristics of the material influence on the parameters of the plastic zone and stress-strain state in the vicinity of the crack tip.