The aim of this subproject is to make a numerical model of cement based composites which fibers are modeled explicitly and represented by embedded elements.

To this aim, our in-house program CaeFem has been developed to analyze simple regular discretization of heterogeneous mesoscopic continuum with discrete distinction of aggregates or void from a matrix with different discretization approaches and comparisons are made with a commercial FEM program-DIANA. A material model is implemented and assigned to bond element to connect embedded fibers to continuum which fibers are distributed randomly within the simply discretized continuum. The next three steps will be: modeling of random geometry (for position, orientation and length of fibers, position and size of aggregates, comparison of approaches to model continuum with embedded fibers and embedded smeared or discrete cracks using FEM (SDA and X-FEM), EFG and iso-geometric methods and implementation of physical nonlinearities regarding fiber, bond, aggregates, matrix. Incidentally, the behavior of composite under quasi-static loading, as a necessary prerequisite for dynamics, will be validate by experiment results provided by Institut für Baustoffe.