Incomplete Frictional Flat-Ended Punch on Half-Plane with Edge Crack

Abstract

Flat-ended or wedge-shaped rigid punch problem is considered in this paper. The punch is with one end sliding and the other end with a sharp corner coming into a half-plane. The model of the punch is that the flat-end punch is inclined by an angle ε or the wedge-shaped punch with ε is pushed vertically. A crack is assumed to be initiated from the end with the corner, and Coulomb's frictional force exists on the contact region. The general solution of the problem is derived in an analytical way, and the relation among the vertical load on the punch, rotating angle of the punch, and the contact length is found. Stress intensity factors of the edge crack are calculated in different cases. The resultant moments at the origin of the coordinates are also calculated, which can be used to decide the position of the vertical force on the punch.