TEXSOL-LIKE RANDOMLY REINFORCED MATERIALS : STOCHASTIC VARIATIONAL MODELING BY HOMOGENIZATION
type: Dataset
contact point: Organization
  fn: CCSD
keyword: homogeneisation-de-materiaux-composites
keyword: -convergence
keyword: physmecasolidphysics-physicsmechanics-physicssolid-mechanics-physicsclass-ph
keyword: processus-sous-additif
keyword: modelisation-variationnelle
keyword: spimecasolidengineering-sciences-physicsmechanics-physicsmed-phsolid-mechanics-physicsc
keyword: probleme-non-local
keyword: analyse-numerique
keyword: theorie-ergodique
keyword: mathmath-famathematics-mathfunctional-analysis-mathfa
keyword: theses
keyword: infoeu-reposemanticsdoctoralthesis
keyword: analyse-asymptotique
landing page: https://theses.hal.science/tel-00762254
description: A mathematical model of a composite material randomly reinforced such as TexSol ( mixture of sand and wire) is proposed. For this study, a variational asymptotic analysis is performed in order to obtain a homogeneous deterministic structure taken into account the mechanical behavior of this material. The modeling strategy is to cut (in direction x3) a cube of TexSol into thin plates of thickness h(ε) depending on a very small parameter ε << 1. When h(ε) is small enough, we assume that each plate contains vertical fibers. Our 3D initial problem is decomposed into n 2D layer type models giving 2-dimensional formulation after passage to the limit. The resulting model is deterministic. Then, using this result on each plate, we obtain a discrete energy (according to x3), which is the sum of n 2-dimensional homogeneous and deterministic energies. We reconstruct a 3D structure by means of a variational integration respect to x3, i.e. taking a variational limit on n. This obtained energy limit, homogeneous and deterministic, is thus proposed as a TexSol model. Finally, the model is validated by a numerical study.
issued: 2026-06-01T13:47:36.994819
language: fr
modified: 2026-06-01T13:47:36.994827

test_moissonnage_selune
type: Agent

TEXSOL-LIKE RANDOMLY REINFORCED MATERIALS : STOCHASTIC VARIATIONAL MODELING BY HOMOGENIZATION
type: Distribution
access URL: https://theses.hal.science/tel-00762254
format: HTML
issued: 2026-06-01T13:47:37.042652
modified: 2026-06-01T13:47:36.934634