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Modélisation micromécanique de la fissuration des matériaux hétérogènes par des modèles d'inclusion avec décollement à l'interface

Abstract : Debonding at the interface is one of the main failure modes for "inclusion-matrix" materials. From a modeling point of view, it is therefore essential to describe the behavior of such materials with partially debonding interfaces.In the framework of the linear elastic fracture mechanics (in plane elasticity), this work concerns first of all the analysis of interfacial fissures located at the boundary of a circular inclusion, immersed in an infinite matrix. The generic solution of such a problem, based on the complex potential method of Muskhelishvili, has been proposed by Perlman and Sih (1966). This general solution was applied successively to the cases of a single crack and two symmetric cracks by Toya (1974) and Prasad and Simha (2002, 2003), respectively. We use here the methodology of Perlman and Sih (1966) to calculate the solution to the problem of two interface cracks of different lengths, but sharing the same axis of symmetry. On the basis of the solution obtained, we then analyze the propagation of two initially symmetrical cracks. We show that the propagation can be asymmetrical: the length of one of the cracks grows, while that of the other remains constant.Then, the Mori-Tanaka homogenization scheme is adopted to study the effect of the partial debonding of the interface on the macroscopic behavior of the material. Finally, we present a macroscopic stress-strain curve of the "inclusion-matrix" material subjected to uniaxial traction taking into account damage due to debonding at the interface. The influence of parameters such as volume fraction of inclusions, particle size and initial crack angle on this curve is examined
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Vinh Hoang Tan Le. Modélisation micromécanique de la fissuration des matériaux hétérogènes par des modèles d'inclusion avec décollement à l'interface. Génie civil. Université Paris-Est, 2019. Français. ⟨NNT : 2019PESC1038⟩. ⟨tel-02884693⟩

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