A FAST THREE-LEVEL UPSCALING FOR SHORT FIBER-REINFORCED COMPOSITES
Michal Krowczynski, Witold Cecot · International Journal for Multiscale Computational Engineering · 2016
Effective mechanical properties of a random heterogeneous material may be estimated by numerical modeling of deformations of a number of representative volume elements (RVEs). To speed up such an analysis, the multiscale finite element method (MsFEM Hou and Wu, 1997) that may be interpreted as a special local multigrid homogenization (Cecot and Oleksy, 2015) was used at the RVE level. The efficiency and reliability of the proposed approach was confirmed by analysis of a plane-state elasticity problem with randomly distributed short aluminum fibers in a gypsum matrix. Also, the higher order FEM proved to be an adequate approximation method for this three-level numerical homogenization.