The Computation of Martensitic Microstructure with Piecewise Laminates

Martin Kružík, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We present a numerical method for the approximation of microstructure in martensitic crystals by piecewise laminates, and we give computational results for several three-dimensional models of martensitic microstructure by using piecewise second-order laminates.

Original languageEnglish (US)
Pages (from-to)293-308
Number of pages16
JournalJournal of Scientific Computing
Volume19
Issue number1-3
DOIs
StatePublished - Dec 2003

Bibliographical note

Funding Information:
This work was supported in part by NSF DMS 95-05077, by NSF DMS-0074043, by AFOSR F49620-98-1-0433, by the Institute for Mathematics and Its Applications, by the Institute for Pure and Applied Mathematics, by the Minnesota Supercomputer Institute, and by GA AV Cˇ R Grant no. A 107 5005.

Keywords

  • Finite element
  • Laminate
  • Martensite
  • Microstructure
  • Rank-one convexiflcation

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