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Towards gigantic RVE sizes for 3D stochastic fibrous networks

Article dans une revue avec comité de lecture
Author
DIRRENBERGER, Justin
86289 Laboratoire Procédés et Ingénierie en Mécanique et Matériaux [PIMM]
FOREST, Samuel
1157 Centre des Matériaux [MAT]
JEULIN, Dominique
206 Centre de Morphologie Mathématique [CMM]

URI
http://hdl.handle.net/10985/7983
DOI
10.1016/j.ijsolstr.2013.10.011
Date
2014
Journal
International Journal of Solids and Structures

Abstract

The size of representative volume element (RVE) for 3D stochastic fibrous media is investigated. A statistical RVE size determination method is applied to a specific model of random microstructure: Poisson fibers. The definition of RVE size is related to the concept of integral range. What happens in microstructures exhibiting an infinite integral range? Computational homogenization for thermal and elastic properties is performed through finite elements, over hundreds of realizations of the stochastic microstructural model, using uniform and mixed boundary conditions. The generated data undergoes statistical treatment, from which gigantic RVE sizes emerge. The method used for determining RVE sizes was found to be operational, even for pathological media, i.e., with infinite integral range, interconnected percolating porous phase and infinite contrast of properties

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