# Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium

Denis Caillerie; Ayman Mourad; Annie Raoult

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

- Volume: 37, Issue: 4, page 681-698
- ISSN: 0764-583X

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topCaillerie, Denis, Mourad, Ayman, and Raoult, Annie. "Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium." ESAIM: Mathematical Modelling and Numerical Analysis 37.4 (2010): 681-698. <http://eudml.org/doc/194185>.

@article{Caillerie2010,

abstract = {
We derive a constitutive law for the myocardium from the description of both the geometrical arrangement of
cardiomyocytes and their individual mechanical behaviour. We model a set of cardiomyocytes by a quasiperiodic discrete
lattice of elastic bars interacting by means of moments. We work in a large displacement framework and we use a discrete
homogenization technique. The macroscopic constitutive law is obtained through the resolution of a
nonlinear self-equilibrum system of the discrete lattice reference cell.
},

author = {Caillerie, Denis, Mourad, Ayman, Raoult, Annie},

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

keywords = {Myocardium; constitutive law; homogenization; large deformations.; quasiperiodic discrete lattice; elastic bars; large displacement},

language = {eng},

month = {3},

number = {4},

pages = {681-698},

publisher = {EDP Sciences},

title = {Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium},

url = {http://eudml.org/doc/194185},

volume = {37},

year = {2010},

}

TY - JOUR

AU - Caillerie, Denis

AU - Mourad, Ayman

AU - Raoult, Annie

TI - Cell-to-Muscle homogenization. Application to a constitutive law for the myocardium

JO - ESAIM: Mathematical Modelling and Numerical Analysis

DA - 2010/3//

PB - EDP Sciences

VL - 37

IS - 4

SP - 681

EP - 698

AB -
We derive a constitutive law for the myocardium from the description of both the geometrical arrangement of
cardiomyocytes and their individual mechanical behaviour. We model a set of cardiomyocytes by a quasiperiodic discrete
lattice of elastic bars interacting by means of moments. We work in a large displacement framework and we use a discrete
homogenization technique. The macroscopic constitutive law is obtained through the resolution of a
nonlinear self-equilibrum system of the discrete lattice reference cell.

LA - eng

KW - Myocardium; constitutive law; homogenization; large deformations.; quasiperiodic discrete lattice; elastic bars; large displacement

UR - http://eudml.org/doc/194185

ER -

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