JournalsifbVol. 4, No. 1pp. 71–88

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

  • Pavel Bělík

    University of Minnesota, Minneapolis, USA

  • Mitchell Luskin

    University of Minnesota, Minneapolis, USA
A total-variation surface energy model for thin films of martensitic crystals cover
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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.

Cite this article

Pavel Bělík, Mitchell Luskin, A total-variation surface energy model for thin films of martensitic crystals. Interfaces Free Bound. 4 (2002), no. 1, pp. 71–88

DOI 10.4171/IFB/53