Determination of the size of the representative volume element for random composites: statistical and numerical approach

By Toufik Kanit, S. Forest, I. Galliet, Valérie Mounoury, Dominique Jeulin. 2003

2,033 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/b380790709e5fba7e9f27f3e35959f6a8d78615f

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In Mechanics of Materials

Citations in the corpus

Imposing periodic boundary condition on arbitrary meshes by polynomial interpolation (2012, background): “For statistical reasons, a smaller RVE size demands a larger number of realizations, but a small RVE can still be used to extract the material properties if a sufficient number of realizations is provided [11, 13].”
Computational homogenization of elasto-plastic porous metals (2012, methodology): “In the case of linear elasticity, the statistical approach initiated by Gusev (1997), Ren and Zheng (2002) and Kanit et al. (2003) is now well-established.”
Scale{dependent homogenization of random composites as micropolar continua (2015, background): “Usually, homogenization techniques for random media are based on the solution of boundary value problems (BVPs) over finite–size mesoscales (Terada et al., 2000; Kanit et al., 2003; Sab and Nedjar, 2005; Gitman et al., 2007; Hatami–Marbini and Picu , 2009; Ghosh, 2011; Salmi et al., 2012).”
Gradient elasticity in statics and dynamics: An overview of formulations, length scale identification procedures, finite element implementations and new results (2011, background): “In this approach, the question ‘‘how large is the length scale?’’ is in fact rephrased as ‘‘how large is the RVE size?’’ Many studies have been devoted to the quantification of RVE sizes for randomly heterogeneous materials, and the general trends are that the RVE size increases with increased contr”
Particulate random composites homogenized as micropolar materials (2014, background): “posed to perform classical homogenization for nonperiodic assemblies [4, 6, 19, 20, 22].”
Computational homogenization of cellular materials (2014, background): “Many numerical studies show that the periodic boundary condition provides a better estimation than other boundary condition types [39, 40, 41, 42].”
Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics (2013, background): “For a review on applications of the approximation by periodization, see [26].”
Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry (2006, methodology): “The apparent bulk and shear moduli are determined by applying respectively an overall strain matrix Eij = dij and Eij = 1/ 2(di1dj2 + di2dj1) and computing then the elastic strain energy (see [21] for the complete procedure).”