Integration algorithm for a modified Yoshida–Uemori model to simulate cyclic plasticity in extremely large plastic strain ranges up to fracture

• A model to describe cyclic plasticity till fracture was implemented.
• An adaptive substepping algorithm was proposed for the backward-Euler method.
• The algorithm can ensure convergence at extremely large plastic strain ranges.
• A method to determine the optimal substep length was proposed.
• The plasticity model can well simulate cyclic plasticity of mild steel till fracture.

Rate-independent metal plasticity models are widely applied to many fields, where most of the models are only effective for small strain ranges. A modified Yoshida–Uemori model was previously proposed and validated by the author, which can well evaluate metal plasticity at strain ranges until fracture. The model is difficult to implement into finite element software due to its complicated formation, which greatly limits its application. This paper aims to implement the modified model using a robust integration algorithm called adaptive substepping method. The implemented model is further validated by cyclic tests on mild steels at both material and member levels.