General Considerations on the Compression of a Wedge by a Rigid Flat Die : 1st Report, Solutions in Symmetrical Condition

Abstract

In this report, the compression of a wedge by a rigid flat die when the initial condition is symmetrical has been investigated. Ten modes of deformation of the wedge are expected depending on the friction at the die surface and the thickness of the wedge but the complete solutions have been obtained for seven modes of them. Some considerations have been made on the extremum principle taking into account the energy dissipation at the frictional surface and applied to the kinematically admissible field to estimate the load in the modes for which the complete solution is unknown as yet. It seems that the kinematically admissible field which satisfies the stress boundary condition on the frictional surface gives an estimation of the load nearly the same as that of the exact solution. It has been shown that the method to estimate a mean value of strain from the work of deformation is convenient.