Skip to Main content Skip to Navigation
Theses

Adaptation et hybridation du maillage pour une prédiction efficace des contraintes dans un modèle de plaque par couches

Abstract : Multilayered plates are commonly used in weight-sensitive industrial applications. Ithas been demonstrated that differences in elastic properties of adjacent layers generallyresult in highly concentrated interlaminar stresses near free edges. This phenomenon canlead to interlaminar failures which may cause the global failure of the multilayered structure.It has been demonstrated that differences in elastic properties of adjacent layers generallyresult in highly concentrated interlaminar stresses near free edges. Although modelscan provide acceptable results for the global response of multilayers, they may lead to veryinaccurate estimations of local response, especially near free-edges.Highly detailed three-dimensional (3D) models are usually very expensive in termsof computational time and memory. A new model for linear elastic multilayered platescalled SCLS1 is described. The SCLS1 model is derived from the 3D exact model byconsidering Statically Compatible Layerwise Stresses with first-order membrane stressapproximations per layer in the thickness direction. As has been explained above, theSCLS1 model is obtained by restricting the minimization of the total stress-energy overthe set. The same multilayered plate refined through the thickness (irregular layerwisemesh through the thickness) of statically compatible 3D stress fields having in-plane componentsthat are piece-wise linear in the thickness of each physical layer. In this model,we discretize each physical layer in p mathematical layers. In this thesis, we establishedthe equations of the 3D model, then the equations of Reissner-Mindlin, consequently establishedthe equations of the SCSL1 model and demonstrate the existence of a unique solution.
Document type :
Theses
Complete list of metadata

https://pastel.archives-ouvertes.fr/tel-03587334
Contributor : ABES STAR :  Contact
Submitted on : Thursday, February 24, 2022 - 2:39:09 PM
Last modification on : Thursday, May 12, 2022 - 3:47:44 AM
Long-term archiving on: : Wednesday, May 25, 2022 - 8:00:58 PM

File

2021PESC1101.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : tel-03587334, version 1

Collections

Citation

Lucille Salha. Adaptation et hybridation du maillage pour une prédiction efficace des contraintes dans un modèle de plaque par couches. Matériaux. Université Paris-Est; Université Saint-Joseph (Beyrouth). Faculté des Sciences, 2021. Français. ⟨NNT : 2021PESC1101⟩. ⟨tel-03587334⟩

Share

Metrics

Record views

41

Files downloads

12