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

Abstract

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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.

How to cite

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Caillerie, 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 -

References

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