Geodesic
A total-variation surface energy model for thin films of martensitic crystals
Pavel Bělík1 ; Mitchell Luskin1
1University of Minnesota, Minneapolis, USA
Interfaces and free boundaries, Tome 4 (2002) no. 1, pp. 71-88

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DOI

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.
DOI : 10.4171/ifb/53
Classification : 46-XX, 60-XX
Mots-clés : Thin film; surface energy; bounded variation; martensite

Pavel Bělík  1   ; Mitchell Luskin  1

1 University of Minnesota, Minneapolis, USA 
Pavel Bělík; Mitchell Luskin. A total-variation surface energy model for thin films of martensitic crystals. Interfaces and free boundaries, Tome 4 (2002) no. 1, pp. 71-88. doi: 10.4171/ifb/53
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     title = {A total-variation surface energy model for thin films of martensitic crystals},
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     year = {2002},
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     doi = {10.4171/ifb/53},
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}
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