Towards gigantic RVE sizes for 3D stochastic fibrous networks

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:51

Article

Dirrenberger, J.^1,2  Forest, S.¹  Jeulin, D.^1,2 

[1] MINES ParisTech, CNRS UMR 7633, Ctr Mat, F-91003 Evry, France

[2] MINES ParisTech, Ctr Morphol Math, F-77305 Fontainebleau, France

关键词: Representative volume element;    Homogenization;    Random media;    Heterogeneous materials;    Microstructure;    Integral range;    Poisson fibers;    Finite element;    Thermal conductivity;    Bulk modulus;    Shear modulus;   

DOI  :  10.1016/j.ijsolstr.2013.10.011

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier Ltd. All rights reserved.

【 授权许可】

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