A finite element model for martensitic thin films

Pavel Bělík, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


A finite element approximation of the thin film limit for a sharp interface bulk energy for martensitic crystals is given. The energy density models the softening of the elastic modulus controlling the low-energy path from the cubic to the tetragonal lattice, the loss of stability of the tetragonal phase at high temperatures and the loss of stability of the cubic phase at low temperatures, and the effect of compositional fluctuation on the transformation temperature. The finite element approximation is then used to simulate the hysteresis of a martensitic thin film obtained after applying a biaxial loading cycle to the film below the transformation temperature.

Original languageEnglish (US)
Pages (from-to)197-215
Number of pages19
Issue number3
StatePublished - Sep 2006


  • Austenite
  • Finite element
  • Martensite
  • Phase transformation
  • Thin film


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