A computational model for the indentation and phase transformation of a martensitic thin film

Pavel Bělík, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We propose a computational model for a stress-induced martensitic phase transformation of a single-crystal thin film by indentation and its reverse transformation to austenite by heating. Our model utilizes a surface energy that allows sharp interfaces with finite energy and a penalty that forces the film to lie above the indenter and undergo a stress-induced austenite-to-martensite phase transformation. We introduce a method to nucleate the martensite-to-austenite phase transformation since in our model the film would otherwise remain in the martensitic phase in a local minimum of the energy.

Original languageEnglish (US)
Pages (from-to)1789-1815
Number of pages27
JournalJournal of the Mechanics and Physics of Solids
Volume50
Issue number9
DOIs
StatePublished - Sep 2002

Bibliographical note

Funding Information:
This work was supported in part by NSF DMS 95-05077, NSF DMS-0074043, AFOSR F49620-98-1-0433, ARO DAAG55-98-1-0335, the Institute for Mathematics and Its Applications, and the Minnesota Supercomputer Institute.

Keywords

  • Austenite
  • B. Thin film
  • Martensite
  • Nucleation
  • Phase transformation

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