Computational modeling of the martensitic transformation with surface energy

P. Klouček, M. Luskin

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

We propose a numerical model for the dynamics of the austenitic-martensitic transformation which includes the effect of surface energy. Our numerical model uses a nonconforming finite element method to approximate the deformation and a numerical viscosity to stabilize the scheme. We present numerical experiments which demonstrate that the addition of a strain-gradient surface energy results in a more planar austenitic-martensitic interfacial layer.

Original languageEnglish (US)
Pages (from-to)101-121
Number of pages21
JournalMathematical and Computer Modelling
Volume20
Issue number10-11
DOIs
StatePublished - 1994

Bibliographical note

Funding Information:
This work is part of the Transitions and Defects in Ordered Materials Project and was supported in part by the NSF through Grant DMS 911-1572, by the AFOSR through Grant AFOSR-91-0301, by the AR0 through Grants DAAL03-92-G-0003, and DAAL03-89-C-0038 with the AHPCRC at the University of Minnesota, and by a grant from the Minnesota Supercomputer Institute.

Keywords

  • Austenite
  • Finite element method
  • Martensite
  • Microstructure
  • Surface energy

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