Computational homogenization of concrete in the cyber Size-Resolution-Discretization (SRD) parameter space

Micro- and mesostructures of multiphase materials obtained from tomography image acquisition are an ever more important database for simulation analyses. Huge data sets reconstructed 3d volumes typically as voxel grids call criteria measures to find affordable balance accuracy efficiency. The present work shows a mesostructure concrete in the elastic deformation range, how computational complexity analyses numerical homogenization can be reduced at controlled errors. Reduction is systematically applied specimen size S, resolution R, discretization D, which span newly introduced SRD parameter space. Key indicators (i) phase fractions, (ii) homogenized elasticity tensor, (iii) its invariance with respect boundary conditions (iv) total error well spatial distributions, computed estimated. Pre-analyses 2d sub-space explore transferability case. Beyond undergoing deformations work, proposed concept enables accuracy-efficiency balances various classes heterogeneous different regimes thus contributes build comprehensive digital twins validated attributes.