From random microstructures to representative volume elements

By J. Zeman, M. Šejnoha. 2007

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A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials (2017, background): “However, reconstruction techniques that preserve higher order correlations result in optimally sized RUCs while reducing errors in estimates of overall macroscopic properties [2,181,203,204,210,211].”
Generation of 3D representative volume elements for heterogeneous materials: A review (2018, background): “, as statistically equivalent replacements for complex realistic microstructures [395] or in cases in which the precise fiber distribution only plays a secondary role such as in the investigation of interlaminar effects [394].”
Scale{dependent homogenization of random composites as micropolar continua (2015, unknown): “In the work (Zeman and Šejnoha, 2007) for instance, a notion of statistically equivalent periodic unit cell, accounting for the geometrical randomness of various material systems, is introduced in order to derive the homogenized effective properties.”