Computational modeling of inelastic large ratcheting strains

Göran Johansson*, Magnus Ekh, Kenneth Runesson

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A framework for phenomenological hyperelasto-plasticity with initial anisotropy, kinematic hardening as well as anisotropic damage is presented in [Menzel et al., Int. J. Plasticity (2004), in press]. In this contribution, we exploit and extend this framework to include several back-stresses in order to capture the ratcheting response of polycrystalline metals subjected to cyclic stress with non-zero mid-value. The evolution equations for kinematic hardening resemble a linear combination of the multiple-Armstrong-Frederick and the Burlet-Cailletaud models, which are extended to the large strain setting. The capability of the model to capture various phenomenological characteristics, in particular multi-axial ratcheting, is illustrated by numerical examples. Comparisons with uni-axial and bi-axial experimental ratcheting results for carbon steel are given. Finally, the finite element analysis of a simplified railway turnout component subjected to cyclic loading is presented.

Original languageEnglish
Pages (from-to)955-980
Number of pages26
JournalInternational Journal of Plasticity
Issue number5
StatePublished - May 2005
Externally publishedYes


  • Anisotropy
  • Finite strains
  • Kinematic hardening
  • Plasticity
  • Ratcheting


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