The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach

Giuliano Gargiulo; Elvira Zappale

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 1, page 159-194
  • ISSN: 0392-4041

Abstract

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Dimension reduction is used to derive the energy of non simple materials grade two thin films. Relaxation and Γ 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.

How to cite

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Gargiulo, Giuliano, and Zappale, Elvira. "The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach." Bollettino dell'Unione Matematica Italiana 10-B.1 (2007): 159-194. <http://eudml.org/doc/290356>.

@article{Gargiulo2007,
abstract = {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.},
author = {Gargiulo, Giuliano, Zappale, Elvira},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {159-194},
publisher = {Unione Matematica Italiana},
title = {The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach},
url = {http://eudml.org/doc/290356},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Gargiulo, Giuliano
AU - Zappale, Elvira
TI - The Energy Density of Non Simple Materials Grade Two Thin Films via a Young Measure Approach
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/2//
PB - Unione Matematica Italiana
VL - 10-B
IS - 1
SP - 159
EP - 194
AB - 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.
LA - eng
UR - http://eudml.org/doc/290356
ER -

References

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