Contributions aux méthodes numériques pour traiter les non linéarités et les discontinuités dans les matériaux hétérogènes

Abstract : Motivated by the study of biological tissues, this work contributes to developing numerical tools to predict the mechanical response of nonlinear heterogeneous materials in which the energies of interfaces can no longer be ignored. First, a computational homogenization strategy combined with a model reduction technique based on the proper orthogonal decomposition is implemented in the cases of large elastic deformations and highly nonlinear conduction. The interfaces between the different phases of a composite are described by means of a coherent interface model and taken into account numerically by an extended finite element method in tandem with a level-set technique. Finally, experimental results of single cell spreading between two fixed parallel microplates are exploited through finite element modelling. Our two models show that the bilayer membrane and the actin cortex do not play a significant role in the cell mechanical response
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Engineering Sciences. Université Paris-Est, 2010. French. <NNT : 2010PEST1079>


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Eric Monteiro. Contributions aux méthodes numériques pour traiter les non linéarités et les discontinuités dans les matériaux hétérogènes. Engineering Sciences. Université Paris-Est, 2010. French. <NNT : 2010PEST1079>. <tel-00601050>

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