A total-variation surface energy model for thin films of martensitic crystals
Mitchell Luskin
University of Minnesota, Minneapolis, USAPavel Belik
University of Minnesota, Minneapolis, USA

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
Mitchell Luskin, Pavel Belik, 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