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.
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Mitchell Luskin, Pavel Belik, A total-variation surface energy model for thin films of martensitic crystals. Interfaces Free Bound. 4 (2002), no. 1, pp. 71–88DOI 10.4171/IFB/53