Geodesic
The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 159-194
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Dimension reduction is used to derive the energy of non simple materials grade two thin films. Relaxation and $\Gamma$ convergence lead to a limit defined on a suitable space of bi-dimensional Young measures. The underlying ``deformation'' in the limit model takes into account the Cosserat theory. 
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     title = {The {Energy} {Density} of {Non} {Simple} {Materials} {Grade} {Two} {Thin} {Films} via a {Young} {Measure} {Approach}},
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Gargiulo, Giuliano; Zappale, Elvira. The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 1, pp. 159-194. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_1_a8/