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 journalArticle

1 Citation (Scopus)

Abstract

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)
JournalInternational Journal of Solids and Structures
DOIs
StateAccepted/In press - 2017

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Hardening
hardening
numerical integration
Numerical integration
Plastics
Kinematics
Simulation
kinematics
plastics
simulation
Euler Scheme
plastic properties
Plasticity
Numerical Scheme
Converge
Predict
Prediction
predictions
Modeling
Model

Keywords

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

ASJC Scopus subject areas

  • Modeling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

Cite this

Numerical convergence in simulations of multiaxial ratcheting with directional distortional hardening. / Welling, Christine A.; Marek, Rene; Feigenbaum, Heidi P; Dafalias, Yannis F.; Plesek, Jiri; Hruby, Zbynek; Parma, Slavomir.

In: International Journal of Solids and Structures, 2017.

Research output: Contribution to journalArticle

Welling, Christine A. ; Marek, Rene ; Feigenbaum, Heidi P ; Dafalias, Yannis F. ; Plesek, Jiri ; Hruby, Zbynek ; Parma, Slavomir. / Numerical convergence in simulations of multiaxial ratcheting with directional distortional hardening. In: International Journal of Solids and Structures. 2017.
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