Macroscopic models of conduction and linear elasticity for highly heterogeneous and anisotropic media
type: Dataset
description: In this thesis we study some macroscopic models for drivers or elastic media highly heterogeneous and anisotropic obtained by homogenization. We consider the case of periodic homogenization. In particular the system of linearized elasticity modeling small deformations of a fiber material, we study the effect of material anisotropy on the macroscopic model and show that the combined effect of the boundary conditions and the anisotropy of the fiber system modeling movement at the macroscopic scale involves non-standard terms. We consider several scalings and two geometric situations: in the first radius of cylindrical fibers is of the same order of magnitude as the size of the middle period and in the second the radius is small compared to the period. The results obtained in both cases, independent of symmetry assumptions on the material used to find the results already known in the case of isotropic materials.
identifier: NNT: 2012TOUL0014
issued: 2026-05-10T13:46:26.015737
language: fr
modified: 2026-05-10T13:46:26.015742
contact point: Organization
  fn: CCSD
keyword: highly-heterogeneous-media
keyword: infoeu-reposemanticsdoctoralthesis
keyword: macroscopic-models
keyword: mathmath-gmmathematics-mathgeneral-mathematics-mathgm
keyword: milieux-heterogenes
keyword: modeles-macroscopiques
keyword: theses
landing page: https://theses.hal.science/tel-00838469

Macroscopic models of conduction and linear elasticity for highly heterogeneous and anisotropic media
type: Distribution
format: HTML
issued: 2026-05-10T13:46:26.027317
modified: 2026-05-10T13:46:26.004463
access URL: https://theses.hal.science/tel-00838469

test_moissonnage_selune
type: Agent