Dimension reduction is used to derive the energy of non simple materials grade two thin films. Relaxation and 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.
Tecniche di riduzione dimensionale vengono adoperate al fine di descrivere l'energia di film sottili costituiti da materiali non semplici di grado due. Il rilassamento e la convergenza conducono ad un limite definito su un opportuno spazio di misure di Young bidimensionali. La ``deformazione'' relativa al modello limite è consistente con la teoria di Cosserat.
@article{BUMI_2007_8_10B_1_159_0,
author = {Giuliano Gargiulo and Elvira Zappale},
title = {The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach},
journal = {Bollettino dell'Unione Matematica Italiana},
volume = {10-A},
year = {2007},
pages = {159-194},
zbl = {1129.74028},
mrnumber = {2310963},
language = {en},
url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_1_159_0}
}
Gargiulo, Giuliano; Zappale, Elvira. The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 159-194. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_1_159_0/
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