Numerical modeling of transformation superplasticity for an elastic, ideally-plastic material

Peter Zwigl*, David C. Dunand

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A model for transformation superplasticity is presented using a finite-element formulation with coupled temperature and displacement. The evolution of temperature, stresses and strains during the ferrite-austenite phase transformation of iron is computed for different values of the applied stress. For low stresses, the numerical model predicts a linear relationship between the applied stress and the plastic strain increment accumulated after crossing the phase transformation range. For high stresses, the relationship becomes non-linear: the strain increments tend to infinity as the applied stress approaches the yield stress. Both these trends are in qualitative agreement with analytical solutions for transformation superplasticity. Furthermore, upon introducing plane-strain specific equivalent quantities for the transformation mismatch and the yield stress, the numerical model is in good quantitative agreement with the analytical predictions for iron.

Original languageEnglish (US)
Title of host publicationSuperplasticity and Superplastic Forming
PublisherMinerals, Metals & Materials Soc (TMS)
Number of pages8
StatePublished - Jan 1 1998
EventProceedings of the 1998 TMS Annual Meeting - San Antonio, TX, USA
Duration: Feb 15 1998Feb 19 1998


OtherProceedings of the 1998 TMS Annual Meeting
CitySan Antonio, TX, USA

ASJC Scopus subject areas

  • Geology
  • Metals and Alloys


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