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DESCRIPTION TOPOLOGIQUE DE L'ARCHITECTURE FIBREUSE ET MODELISATION MECANIQUE DU MYOCARDE

Abstract : MY THESIS FOCUSES ON THE GEOMETRICAL, MECHANICAL AND NUMERICAL MODELLING OF THE HUMAN HEART. IN THE GEOMETRICAL PART, WE CHECKED A CONJECTURE ACCORDING TO WHICH MYOCARDIAL FIBRES RUN AS GEODESICS ON A NESTED SET OF SURFACES. TO THIS AIM, THE FIBRE TRAJECTORIES AND LAYERS OF FIBRES HAVE BEEN IDENTIFIED. IN THE MECHANICAL MODELLING, WE ESTABLISHED A NEW MACROSCOPIC CONSTITUTIVE LAW FOR THE MYOCARDIUM BY MEANS OF DISCRETE HOMOGENIZATION TECHNIQUE FROM GEOMETRICAL AND MECHANICAL MICROSCOPIC INFORMATION ON MYOCARDIAL CELLS. THIS CONSTITUTIVE LAW TAKES INTO ACCOUNT THE FIBROUS STRUCTURE OF THE MUSCLE. MOREOVER, WE USED OUR METHOD OF HOMOGENIZATION IN MODELLING THE MECHANICAL BEHAVIOUR OF CARBON NANOTUBES.
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Submitted on : Wednesday, December 17, 2003 - 2:33:26 PM
Last modification on : Friday, November 6, 2020 - 4:39:40 AM
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Ayman Mourad. DESCRIPTION TOPOLOGIQUE DE L'ARCHITECTURE FIBREUSE ET MODELISATION MECANIQUE DU MYOCARDE. Mathématiques [math]. Institut National Polytechnique de Grenoble - INPG, 2003. Français. ⟨tel-00004003⟩

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