Closed Form Solutions for Plane-Strain Ideal Plastic Deformations

A Riemann plane mapping methodology to analyze plane strain ideal plastic flow processes such as extrusion and drawing is presented. A solution function for a generalized die profile is obtained in the form of a zeroth order Bessel function. Explicit solutions in closed form using functional approximation are obtained for the deformation forces and stresses for a wedge-shaped die without requiring numerical evaluation of any integrals.