An unconditionally convergent iterative algorithm for the intersection of Neuber’s and Molski–Glinka’s rules with the Ramberg–Osgood stress–strain relationship

•Presents iterative scheme for intersection of Neuber rule and Ramberg–Osgood relation.•It works also for Glinka’s strain energy density rule.•The algorithm is unconditionally convergent.•Examples covering a very wide range of material and loading parameters are included.

An iterative calculation scheme for solving the intersection between Neuber’s rule hyperbola or Molski–Glinka’s strain energy density equation with Ramberg–Osgood stress–strain laws is presented. It is a fixed-point type algorithm and it is shown to be unconditionally convergent.