Multiaxial ratcheting with advanced kinematic and directional distortional hardening rules

Heidi P. Feigenbaum, Joel Dugdale, Yannis F. Dafalias, Kyriakos I. Kourousis, Jiri Plesek

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


Ratcheting is defined as the accumulation of plastic strains during cyclic plastic loading. Modeling this behavior is extremely difficult because any small error in plastic strain during a single cycle will add to become a large error after many cycles. As is typical with metals, most constitutive models use the associative flow rule which states that the plastic strain increment is in the direction normal to the yield surface. When the associative flow rule is used, it is important to have the shape of the yield surface modeled accurately because small deviations in shape may result in large deviations in the normal to the yield surface and thus the plastic strain increment in multi-axial loading. During cyclic plastic loading these deviations will accumulate and may result in large errors to predicted strains. This paper compares the bi-axial ratcheting simulations of two classes of plasticity models. The first class of models consists of the classical von Mises model with various kinematic hardening (KH) rules. The second class of models introduce directional distortional hardening (DDH) in addition to these various kinematic hardening rules. Directional distortion describes the formation of a region of high curvature on the yield surface approximately in the direction of loading and a region of flattened curvature approximately in the opposite direction. Results indicate that the addition of directional distortional hardening improves ratcheting predictions, particularly under biaxial stress controlled loading, over kinematic hardening alone.

Original languageEnglish (US)
Pages (from-to)3063-3076
Number of pages14
JournalInternational Journal of Solids and Structures
Issue number22
StatePublished - Nov 1 2012


  • Cyclic loading
  • Directional distortional hardening
  • Plasticity
  • Ratcheting
  • Thermodynamics

ASJC Scopus subject areas

  • Modeling and Simulation
  • General Materials Science
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics


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