Numerical implementation of a model with directional distortional hardening

René Marek, Jiří Plešek, Zbyněk Hrubỳ, Slavomír Parma, Heidi P Feigenbaum, Yannis F. Dafalias

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

The presented work outlines and tests a finite-element (FE) implementation of a simple directional distortional hardening model. The evolution equations of internal variables are based on the Armstrong-Frederick evanescent memory-type hardening rule, and the associative flow rule is adopted. The directional distortion of the yield function is governed by the contraction of the backstress tensor with the so-called unit radial tensor, and incorporates a fixed scalar distortional parameter. Therefore, the variety of possible shapes of predicted subsequent yield surfaces is limited. The tangent stiffness-radial corrector method with fine subincrementation is used. This implementation is verified by comparing numerical results with analytical solutions pertinent to proportional load cases and semianalytical solutions for nonproportional loadings. The template of the whole implementation is included in the Appendix.

Original languageEnglish (US)
Article number04015048
JournalJournal of Engineering Mechanics
Volume141
Issue number12
DOIs
StatePublished - Dec 1 2015

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Tensors
Hardening
Stiffness
Data storage equipment

Keywords

  • Directional distortional hardening
  • Finite-element procedures
  • Plasticity

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials

Cite this

Numerical implementation of a model with directional distortional hardening. / Marek, René; Plešek, Jiří; Hrubỳ, Zbyněk; Parma, Slavomír; Feigenbaum, Heidi P; Dafalias, Yannis F.

In: Journal of Engineering Mechanics, Vol. 141, No. 12, 04015048, 01.12.2015.

Research output: Contribution to journalArticle

Marek, René ; Plešek, Jiří ; Hrubỳ, Zbyněk ; Parma, Slavomír ; Feigenbaum, Heidi P ; Dafalias, Yannis F. / Numerical implementation of a model with directional distortional hardening. In: Journal of Engineering Mechanics. 2015 ; Vol. 141, No. 12.
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