Representative volume element for non-uniform micro-structure

By Z. Shan, A. Gokhale. 2002

180 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/66fc04336e6dd0817b0ba35f88d55fa79cda4a61

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In Mechanics of Materials

Citations in the corpus

STATISTICAL ANALYSIS OF REAL AND SIMULATED FIBRE ARRANGEMENTS IN UNIDIRECTIONAL COMPOSITES (2013, background): “The RVE consists of ~200 fibers and is considered as representative both geometrically and mechanically according to [30, 31].”
Determination of the size of the representative volume element for random quasi-brittle composites (2009, methodology): “Concerning the RVE determination in practical cases, two main approaches can be distinguished which are based on: experimental observations (Shan and Gokhale, 2002; Romero and Masad, 2004; Graham and Yang, 2003) by combining basic morphological tools (such as covariance or covariogram of a random…”
Statistically Equivalent Representative Volume Elements for Unidirectional Composite Microstructures: Part I - Without Damage (2006, methodology): “Distribution functions of critical microstructural variables have been compared for candidate RVEs with those for the entire microstructure to estimate the size of RVEs in nonuniform microstructures by Shan and Gokhale in [ 16 ].”
Concurrent multi-level model for damage evolution in microstructurally debonding composites (2007, unknown): “Various statistical methods have been used to determine the size scale of the RVE and the number of inclusions contained in it (Pyrz, 1994; Ghosh et al., 1997; Shan and Gokhale, 2002; Bulsara et al., 1999).”
Quantification of stochastically stable representative volumes for random heterogeneous materials (2006, background): “Shan and Gokhale [24] showed that the twodimensional size of the RVE for ceramic matrix composite contains about 250 fibres 14μm in size with 34.”
Computational homogenization for the multi-scale analysis of multi-phase materials (2002, methodology): “The same theory can also be formulated in terms of an updated Lagrangian procedure, as has been presented by Shu and Barlow (2000) and Matsushima et al.”