Influence de l'écoulement interstitiel sur le comportement d'un matériau semi-solide

Abstract : The aim of the paper is to describe the mechanisms which govern the interstitial flow in a semi-solid medium and its influence on the behaviour of the skeleton. A model for the compressible viscoplastic solid coupled with the liquid interstitial flow was studied. A dimensional analysis of this model was made. This analysis shows two dimensionless parameters and which characterize the model ; the first represents compressibility and the second characterizes the liquid influence on the solid and it depends on the characteristic velocity of the problem and on the ratio between the dynamic viscosity of the liquid and the apparent viscosity of the solid. In order to understand the behaviour of these biphasic models, we studied the case of an unidimensional deformation. We have found an analytical solution for the unidimensional problems. These analytical studies show two types of behaviour of the medium according to the order of magnitude of the dimensionless number . At low velocity, the fluid does not have any influence on the response of the solid skeleton. At high velocity, the flow is very localised close to the edges where the fluid can run out. By introducing the elasticity of the skeleton into the preceding model, we found an analytical approached solution. This analysis shows an additional parameter : a relaxation time which characterizes this model. We have showed that this time is proportional to the inverse of the number .
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Hala Mouhamad. Influence de l'écoulement interstitiel sur le comportement d'un matériau semi-solide. Autre. Université Paul Verlaine - Metz, 2005. Français. ⟨NNT : 2005METZ004S⟩. ⟨tel-01752430⟩

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