Skip to Main content Skip to Navigation
Theses

Une expérimentation réussie pour l’identification de la réponse mécanique sans loi de comportement : Approche data-driven appliquée aux membranes élastomères

Abstract : The identification of the mechanical response of materials aims at finding a relationship between strain fields, stress fields, etc. Classically, this relationship consists in explicit equation(s) referred to as the constitutive equation(s). Considering the more and more complex phenomena, the derivation of new constitutive models and the corresponding fit of material parameters are complex tasks; it underlines the limitations of this approach. An algorithm called Data-Driven Identification recently developed by Leygue et al. (Computer Methods in Applied Mechanics and Engineering, 331, 184-196 (2018)) has given birth to a new paradigm: representing the relation between strain and stress fields thanks to a cloud of points obtained from complex experiments. This method is based on the availability of measurements of (i) strain field obtained, for example, thanks to digital image correlation, and (ii) resulting forces. Then, stress fields can be derived without prescribing any constitutive equation, and the corresponding material database can be built. This thesis investigates the validity of this algorithm as applied to real data, in order to demonstrate its relevance. The method is first applied to altered synthetic data sets in order to adapt it to large strain problems, in which measurement information is often incomplete. Then, the algorithm is used with experimental data: an elastomeric perforated membrane is uniaxially stretched and the corresponding heterogeneous stress fields are “measured” without constitutive equation. Finally, two applications of the method are proposed: obtaining the mechanical response of a bimaterial membrane and taking into account really multiaxial loading conditions.
Complete list of metadatas

Cited literature [157 references]  Display  Hide  Download

https://tel.archives-ouvertes.fr/tel-02506891
Contributor : Abes Star :  Contact
Submitted on : Friday, March 20, 2020 - 11:15:28 AM
Last modification on : Friday, October 23, 2020 - 4:57:29 PM
Long-term archiving on: : Sunday, June 21, 2020 - 1:30:28 PM

File

M_DALEMAT.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-02506891, version 2

Collections

Citation

Marie Dalémat. Une expérimentation réussie pour l’identification de la réponse mécanique sans loi de comportement : Approche data-driven appliquée aux membranes élastomères. Mécanique des solides [physics.class-ph]. École centrale de Nantes, 2019. Français. ⟨NNT : 2019ECDN0065⟩. ⟨tel-02506891v2⟩

Share

Metrics

Record views

205

Files downloads

171