Cyclic plasticity model using one yield surface only

Research output: Contribution to journalArticle


A time-independent plasticity model using only one yield surface and capable of predicting cyclic loading is presented. Memory points are defined to monitor the loading history; these memory points have the property that they can be created as well as disappear during the load history. The generalized plastic modulus is defined from these memory points in such a way that it will be continuous and provide a smooth transition from elastic to elastic-plastic behavior. The model is formulated for general pressure-insensitive plasticity. Because only one yield surface is used, this framework allows all types of yield functions to be easily implemented. For piecewise linear response, the concept of memory points may be interpreted in terms of the classic Mroz model. Moreover, a generalization of the Mroz model for a smoothly varying response can be made. As an important example of pressure-insensitive plasticity, the von Mises criterion is incorporated into the model to illustrate the response for different load situations. Of particular interest is cyclic hardening, mean stress relaxation, and ratchetting. A simple law for controlling the ratchetting is also introduced.


Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mechanical Engineering


  • Plasticity, cyclic plasticity
Original languageEnglish
Pages (from-to)163-181
JournalInternational Journal of Plasticity
Issue number2
Publication statusPublished - 1995
Publication categoryResearch