A total-variation surface energy model for thin films of martensitic crystals
Open Access
- 1 January 2002
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications
- Vol. 4 (1) , 71-88
- https://doi.org/10.4171/ifb/53
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.Keywords
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