New Solutions to Rigid-Plastic Deformation Problems Using a Matrix Method

The matrix method for the analysis of rigid-plastic deformation problems was described and applied to simple compression of cylinders and plane-stress bore expanding and flange drawing. In cylinder compression new solutions were obtained with regard to the effect of specimen dimensions on the contact stress distributions, the effect of friction on the relative slip at the tool-workpiece interface, and bulging and “folding”. In plane-stress problems the planar anisotropy was taken into account and the application of the matrix method resulted in new solutions for nonaxisymmetric hole expansion and “earing” in flange drawing.