Periodization of random media and representative volume element size for linear composites

By Karam Sab, Boumediene Nedjar. 2005

109 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/e21e22652588292c306cec6608e31be570229484

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In Computational Theory and Mathematics

In Mechanics of Materials

Citations in the corpus

Computational homogenization of elasto-plastic porous metals (2012, background): “Second, it is a known result that the uniform kinematic boundary conditions represent an upper bound for the effective response in an energetic sense (e.g. Sab and Nedjar, 2005, Ranganathan and Ostoja-Starzewski, 2008).”
Towards gigantic RVE sizes for 3D stochastic fibrous networks (2014, unknown): “It exhibits an inﬁnite integral range (Jeulin, 1991), i.e., an inﬁnite morphological correlation length; this medium is non-periodizable without modifying its morphology, thus falling beyond the spectrum of periodic homogenization and the deﬁnition of RVE proposed by Sab (2005).”
Apparent and effective physical properties of heterogeneous materials: Representativity of samples of two materials from food industry (2006, background): “The strong advantage of periodic boundary conditions even for random materials was already noticed at several places [21,32] and is put forward in the present work for the analysis of real microstructures.”
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).”
Particulate random composites homogenized as micropolar materials (2014, background): “In this view, a possible solution has been indicated in [4, 19] enforcing the periodicity of the material between corresponding edges of the windows.”
On the Size of RVE in Finite Elasticity of Random Composites (2006, background): “In the context of small deformation theory the advances in these area are due to the work by Huet [1], Sab [2], Hazanov and Huet [3], Drugan and Willis [4], Gusev [5], Moulinec and Suquet [6], Hazanov [7], Michel et al. [8], Drugan [9], Zohdi and Wriggers [10, 11], Segurado and Llorka [12], Ren and ”