Three models of non periodic fibrous materials obtained by homogenization

M. Briane

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 6, page 759-775
  • ISSN: 0764-583X

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Briane, M.. "Three models of non periodic fibrous materials obtained by homogenization." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.6 (1993): 759-775. <http://eudml.org/doc/193722>.

@article{Briane1993,
author = {Briane, M.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {interactions between fibres and medium; cardiac muscles; homogeneization theory},
language = {eng},
number = {6},
pages = {759-775},
publisher = {Dunod},
title = {Three models of non periodic fibrous materials obtained by homogenization},
url = {http://eudml.org/doc/193722},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Briane, M.
TI - Three models of non periodic fibrous materials obtained by homogenization
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 6
SP - 759
EP - 775
LA - eng
KW - interactions between fibres and medium; cardiac muscles; homogeneization theory
UR - http://eudml.org/doc/193722
ER -

References

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  1. [Art] M. J. ARTS, 1978, A Mathematical Model of the Dynamics of the Left Ventricle, Thesis, University of Limburg, The Netherlands. 
  2. [B.L.P.] A. BENSOUSSAN, J. L. LIONS, G. PAPANICOLAOU, 1978, Asymptotic Analysis for Periodic Structures North-Holland, Amsterdam. Zbl0404.35001MR503330
  3. [Bri 1] M. BRIANE, 1990, Homogénéisation de materiaux fibrés et multi-couches, Thèse de l'Université Paris 6. 
  4. [Bri 2] M. BRIANE, 1990, Homogeneization of a non-periodic material, Math. Pures Appl., to appear. Zbl0835.35016
  5. [Cha] R. S. CHADWICK, 1982, Mechanics of the left ventricle, Brophys. J. 39, 279-288. 
  6. [Don] P. DONATO, 1983, Una stima per la differenza di H-limiti e qualche applicazione a problemi di omogeneizzazione, Rendiconti di Matematica 4, Vol. 3, Serie VII. MR759119
  7. [Feit] T. S. FEIT, 1979, Diastolic pressure-volume relations and distribution of pressure and fiber extension across the wall of model left ventricle, Biophys. J. 28, 143-166. 
  8. [Mur] F. MURAT, 1978, H-Convergence, Séminaire d'Analyse Fonctionnelle et Numérique, University of Algiers, Multigraphed. 
  9. [Pes] C. S. PESKIN, 1989, Fiber architecture of the left ventricular wall : an asymptotic analysis, Comm. Pure and Appl. Math., 42, 79-113. Zbl0664.92005MR973746
  10. [San] E. SANCHEZ-PALENCIA, 1980, Non Homogeneous Materials and Vibration Theory, Springer Verlag, Monographs in Physics, V, 127 Berlin. Zbl0432.70002MR578345
  11. [Spa] S. SPAGNOLO, 1968, Sulla convergenza di soluzioni di equazioni paraboliche e ellitiche, Ann. Sc. Norm. Sup. Pisa, 22, 571-597. Zbl0174.42101MR240443
  12. [Str] D. D. STREETER, 1979, Gross Morphology and Fiber Geometry of the Heart, Handbook of Physiology, Vol. 1, Section 2, American Physiology Society, Bethesda, Maryland. 
  13. [Tar] L. TARTAR, 1977, Cours Peccot au Collège de France, unpublished. 

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