  In this paper, we propose a model-simulation framework for virtual tensile
strength tests of random fiber structures, as they appear in nonwoven
materials. The focus is on the efficient handling with respect to the
problem-inherent multi-scales and randomness. In particular, the interplay of
the random microstructure and deterministic structural production-related
features on the macro-scale makes classical homogenization-based approaches
computationally complex and costly. In our approach we model the fiber
structure to be graph-based and of truss-type, equipped with a nonlinear
elastic material law. Describing the tensile strength test by a sequence of
force equilibria with respect to varied boundary conditions, its embedding into
a singularly perturbed dynamical system is advantageous with regard to
statements about solution theory and convergence of numerical methods. A
problem-tailored data reduction provides additional speed-up, Monte-Carlo
simulations account for the randomness. This work serves as a proof of concept
and opens the field to optimization.
