Geodesic
Small amplitude homogenization applied to models of non-periodic fibrous materials
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 6, pp. 1061-1087

Voir la notice de l'article provenant de la source Numdam

In this paper, we compare a biomechanics empirical model of the heart fibrous structure to two models obtained by a non-periodic homogenization process. To this end, the two homogenized models are simplified using the small amplitude homogenization procedure of Tartar, both in conduction and in elasticity. A new small amplitude homogenization expansion formula for a mixture of anisotropic elastic materials is also derived and allows us to obtain a third simplified model.

DOI : 10.1051/m2an:2007050
Classification : 35J25, 74Q15, 74B05
Keywords: non-periodic homogenization, fibrous material, small amplitude, low contrast, conduction, linear elasticity, $H$-measures 
@article{M2AN_2007__41_6_1061_0,
     author = {Manceau, David},
     title = {Small amplitude homogenization applied to models of non-periodic fibrous materials},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {1061--1087},
     publisher = {EDP-Sciences},
     volume = {41},
     number = {6},
     year = {2007},
     doi = {10.1051/m2an:2007050},
     mrnumber = {2377107},
     zbl = {1126.92006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007050/}
}
TY  - JOUR
AU  - Manceau, David
TI  - Small amplitude homogenization applied to models of non-periodic fibrous materials
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2007
SP  - 1061
EP  - 1087
VL  - 41
IS  - 6
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007050/
DO  - 10.1051/m2an:2007050
LA  - en
ID  - M2AN_2007__41_6_1061_0
ER  - 
%0 Journal Article
%A Manceau, David
%T Small amplitude homogenization applied to models of non-periodic fibrous materials
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2007
%P 1061-1087
%V 41
%N 6
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2007050/
%R 10.1051/m2an:2007050
%G en
%F M2AN_2007__41_6_1061_0
Manceau, David. Small amplitude homogenization applied to models of non-periodic fibrous materials. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 6, pp. 1061-1087. doi: 10.1051/m2an:2007050

Cité par Sources :