Finding and using inverse analyic methods for coupled thermo-elastic problems
type: Dataset
description: This thesis is about the use of analytical mathematics within the framework of inverse methods applied to industry. These works are devoted to the development of sensors using real-time inverse methods adapted for rolling process. Steel producer ArcelorMittal leads a European project that aims to demonstrate the feasibility of sensors measuring fields (temperature, stress) in the contact between the product and the tool without altering physical conditions of this contact. The thesis has been funded by l'école des Ponts ParisTech. However, a three-year contract signed with ArcelorMittal has enabled the author to be part of the European project, and thus his research has been motivated by a real industrial demand. The aim of this thesis is twofold, academic and industrial; academic in the sense that these works seek to identify and use efficiently existing analytical methods for inverse problems occurring in thermo-elasticity in the context of real-time metrology. Indeed, analytical solutions are often exploited as purely theoretical cases, finding in many ways some success in engineering (for example in linear elasticity with stress intensity factors), but are most of the time relegated to the validation of numerical codes under simple assumptions. As a matter of fact, there is no research any more in pure mathematics concerning these solutions and analytical methods. However, the specific complications related to the inverse nature of problems under consideration, penalize numerical algorithms because inverse problems are ill-posed and stabilization is needed. But it remains often difficult if we consider the extreme loads (very sharp gradients) applied to industrial tools during rolling. Moreover, the real-time metrology excludes the use of numerical codes too costly in terms of computation time (iterative methods etc...). Both aspects contribute to renew widely interest for analytical solutions. It is then necessary to collect most effective and efficient (in ter…
identifier: NNT: 2012PEST1171
issued: 2026-05-11T15:24:13.566642
language: fr
modified: 2026-05-11T15:24:13.566648
contact point: Organization
  fn: CCSD
keyword: analytic-solution
keyword: infoeu-reposemanticsdoctoralthesis
keyword: inverse-method
keyword: laminage
keyword: measurements
keyword: methode-inverse
keyword: metrologie
keyword: potential-theory
keyword: rolling-process
keyword: solution-analytique
keyword: spiotherengineering-sciences-physicsother
keyword: theorie-des-potentiels
keyword: thermo-elasticite
keyword: thermo-elasticity
keyword: theses
landing page: https://pastel.hal.science/tel-00796446

Finding and using inverse analyic methods for coupled thermo-elastic problems
type: Distribution
format: HTML
issued: 2026-05-11T15:24:13.601957
modified: 2026-05-11T15:24:13.543772
access URL: https://pastel.hal.science/tel-00796446

test_moissonnage_selune
type: Agent