The models of the generalized method of cells and the recently developed high-fidelity
generalized method of cells are reviewed. These two methods are micromechanical theories …

Abstract Three-dimensional (3D) meso-scale finite element models of concrete based on in-
situ X-ray Computed Tomography (XCT) images are developed and validated in this study …

The homogenized elastic properties and tensile fracture behaviours of concrete are
captured by Monte Carlo simulations (MCSs) of realistic meso-scale models based on high …

In this paper, a novel computational procedure is proposed for the determination of the
representative volume element (RVE) size for random composites, which is the basis of …

In the computational analysis of composite materials usually periodic models are employed.
These models assume that the material has a deterministic and ordered distribution of fibres …

The linking of microstructure uncertainty with the random variation of material properties at
the macroscale is particularly needed in the framework of the stochastic finite element …

The damage and fracture mechanisms of concrete are complicated due to the material's
inherent meso-scale heterogeneities. In this study, continuous random fields for selected …

The paper deals with the homogenization of random heterogeneous media with arbitrarily
shaped inclusions simulated with the extended finite element method (XFEM) coupled with …

In this communication, we present a reformulation, based on the local/global stiffness matrix
approach, of the recently developed higher-order theory for periodic multiphase materials …

This study analyses size effects of concrete under uniaxial tension by Monte Carlo
simulations, where heterogeneous strength at meso-scale is modelled by Weibull random …