# Small amplitude homogenization applied to models of non-periodic fibrous materials

ESAIM: Mathematical Modelling and Numerical Analysis (2007)

- Volume: 41, Issue: 6, page 1061-1087
- ISSN: 0764-583X

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topManceau, David. "Small amplitude homogenization applied to models of non-periodic fibrous materials." ESAIM: Mathematical Modelling and Numerical Analysis 41.6 (2007): 1061-1087. <http://eudml.org/doc/250057>.

@article{Manceau2007,

abstract = {
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.
},

author = {Manceau, David},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis},

keywords = {Non-periodic homogenization; fibrous material; small amplitude; low contrast; conduction; linear elasticity; H-measures.; non-periodic homogenization; -measures},

language = {eng},

month = {12},

number = {6},

pages = {1061-1087},

publisher = {EDP Sciences},

title = {Small amplitude homogenization applied to models of non-periodic fibrous materials},

url = {http://eudml.org/doc/250057},

volume = {41},

year = {2007},

}

TY - JOUR

AU - Manceau, David

TI - Small amplitude homogenization applied to models of non-periodic fibrous materials

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2007/12//

PB - EDP Sciences

VL - 41

IS - 6

SP - 1061

EP - 1087

AB -
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.

LA - eng

KW - Non-periodic homogenization; fibrous material; small amplitude; low contrast; conduction; linear elasticity; H-measures.; non-periodic homogenization; -measures

UR - http://eudml.org/doc/250057

ER -

## References

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