A total-variation surface energy model for thin films of martensitic Crystals

Pavel Bělík, Mitchell Luskin

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We rigorously derive a thin-film limit for martensitic crystals that utilizes the total variation of the deformation gradient to model the energy on surfaces separating regions of different variants. We find that the deformation for an infinitesimally thin film minimizes a two-dimensional energy.

Original languageEnglish (US)
Pages (from-to)71-88
Number of pages18
JournalInterfaces and Free Boundaries
Volume4
Issue number1
DOIs
StatePublished - 2002

Bibliographical note

Funding Information:
This work was supported in part by NSF DMS 95-05077, by NSF DMS-00-74043, by AFOSR F49620-98-1-0433, by ARO DAAG55-98-1-0335, by the Institute for Mathematics and its Applications, and by the Minnesota Supercomputer Institute.

Keywords

  • Bounded variation
  • Martensite
  • Surface energy
  • Thin film

Fingerprint Dive into the research topics of 'A total-variation surface energy model for thin films of martensitic Crystals'. Together they form a unique fingerprint.

Cite this