Skip to Main content Skip to Navigation
Theses

Contribution à la résolution de problèmes tridimensionnels de fissuration fragile. Vers l'utilisation d'un modèle non-local de comportement élastique

Abstract : In this thesis, we have developed a numerical tool, based on a classical boundary elements method, which allows a conventional analysis of a stationary crack in a 3D specimen under complex mechanical loading. In order to assess the impact of the microstructure on the brittle fracture, we were interested in non local models of behavior. First, we have adopted the non local elastic model due to Eringen. This refined constitutive equation allows to account for long range interactions in the description of the elastic behavior in the vicinity of the crack front. Unlike the traditional approach, this type of model leads to a finite stress field at the crack front. Moreover, the stress is locally maximal ahead of the front. These interesting results indicate that it is possible to predict the stability and direction of crack propagation in a simple and more naturel way by using stress based criteria. The implemented numerical strategy can handle cases of crack in tension or compression, under shear stress or mixed loadings. Having clearly highlighted the interest of non local models, we have adopted the improved version of Eringen elastic model as proposed by Polizzotto. This elastic model is applicable to finite domains and requires a specific numerical treatment. The basis of such a numerical strategy initiated by R. Kouitat has been established. The method couples the conventional boundary element method with local point interpolation of a strong form differential equation. Promising results are obtained and show that with such modeling of material behavior, it is possible to describe the irreversible process of fracturing in a similar way as plasticity
Document type :
Theses
Complete list of metadata

Cited literature [179 references]  Display  Hide  Download

https://hal.univ-lorraine.fr/tel-01749198
Contributor : Thèses Ul <>
Submitted on : Thursday, March 29, 2018 - 12:09:21 PM
Last modification on : Thursday, February 25, 2021 - 11:04:56 AM
Long-term archiving on: : Friday, September 14, 2018 - 2:53:49 PM

File

DDOC_T_2012_0031_SCHWARTZ.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : tel-01749198, version 1

Citation

Martin Schwartz. Contribution à la résolution de problèmes tridimensionnels de fissuration fragile. Vers l'utilisation d'un modèle non-local de comportement élastique. Autre. Université de Lorraine, 2012. Français. ⟨NNT : 2012LORR0031⟩. ⟨tel-01749198⟩

Share

Metrics

Record views

68

Files downloads

120