Geodesic
The energy density of martensitic thin films via dimension reduction
Lorenzo Freddi1 ; Roberto Paroni2
1Università di Udine, Italy
2Università di Sassari, Alghero, Italy
Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 439-459

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DOI

A variational limit defined on the space of bi-dimensional gradient Young measures is obtained from three-dimensional elasticity via dimension reduction. The obtained limit problem uniquely determines the energy density of the thin film. Our result might be used to compute the microstructure in membranes made of phase transforming material.
DOI : 10.4171/ifb/109
Classification : 35-XX, 65-XX, 76-XX, 92-XX
Mots-clés : martensitic thin films, membrane microstructure, variational limit, Young measure, dimension reduction

Lorenzo Freddi  1   ; Roberto Paroni  2

1 Università di Udine, Italy
2 Università di Sassari, Alghero, Italy 
Lorenzo Freddi; Roberto Paroni. The energy density of martensitic thin films via dimension reduction. Interfaces and free boundaries, Tome 6 (2004) no. 4, pp. 439-459. doi: 10.4171/ifb/109
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     title = {The energy density of martensitic thin films via dimension reduction},
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     year = {2004},
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     number = {4},
     doi = {10.4171/ifb/109},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/109/}
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