Application of the R-functions method to visioplastic analysis in metal forming

This study is concerned with visioplastic analysis of metal forming processes with help of the R-functions method. The method in conjunction with the flow function and stress function methods is used to construct kinematically admissible velocity fields and statically admissible stress fields for regions with complicated boundary shapes. Application of such fields for approximation of the experimentally obtained information allows to determine mechanically correct strain and stress distribution for steady and non-steady-state problems in axisymmetric and plane-strain metal forming processes.