Numerical convergence in simulations of multiaxial ratcheting with directional distortional hardening

Christine A. Welling, Rene Marek, Heidi P. Feigenbaum, Yannis F. Dafalias, Jiri Plesek, Zbynek Hruby, Slavomir Parma

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


In this work, we investigate the numerical convergence of a set of plasticity models with different kinematic and directional distortional hardening rules under cyclic plastic loading. In particular, we revisit the results presented in Feigenbaum et al. (2012) in order to more robustly check for convergence during the numerical integration procedure, and show that the results presented in the previous work do not converge. We investigate the role of the step-size and numerical scheme on the convergence of these models when predicting ratcheting. By reducing step-sizes and using a forward Euler scheme during numerical integration, converged solutions are obtained. The new converged results lead to new conclusions. Results still suggest that directional distortional hardening can improve ratcheting predictions, however the addition of directional distortional hardening yields less improvements compared to kinematic hardening alone than previously thought. This new conclusion, strongly suggests the need for additional modeling developments in order accurately predict ratcheting strains under a wide variety of cyclic plastic loadings.

Original languageEnglish (US)
Pages (from-to)105-121
Number of pages17
JournalInternational Journal of Solids and Structures
StatePublished - Nov 2017


  • Directional distortional hardening
  • Plasticity
  • Ratcheting
  • Yield
  • Yield surface distortion

ASJC Scopus subject areas

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


Dive into the research topics of 'Numerical convergence in simulations of multiaxial ratcheting with directional distortional hardening'. Together they form a unique fingerprint.

Cite this