General Considerations on the Compression of a Wedge by a Rigid Flat Die : 2nd Report, Solutions in Unsymmetrical Condition and with Smooth Die

Abstract

The load on and deformation of a wedge compressed by a smooth rigid flat die were investigated. Seven types of slip line field have been predicted for the wedge which has any inclination to the die face. These fields are classified into three modes of deformation where (a) the material flows separately on the contact face, (b) dead metal zone is in contact with the die and (c) the material flows only on one side of the wedge. Four of the seven fields are complete solutions. The width of the contact face, load or its upper and lower limits and the mean strain of the wedge were compared with these modes of deformation, and it has been revealed that the mode (a) exists in a very narrow range of the inclination and thickness of the wedge and is hardly realized and that the load of the mode (b) is larger than that of mode (c) but as the mean strain is small, mode (b) will be realized rather than mode (c) when the inclination of wedge is small and the thickness of wedges moderately large and when the material is in the state of strain hardening.