Efficient graph‐based tensile strength simulations of random fiber structures

Abstract

AbstractIn this paper, we propose a model‐simulation framework for virtual tensile strength testing of random fiber structures, such as those in nonwoven materials. The focus is on efficient handling of the problem‐inherent multi‐scales and randomness. In particular, the interplay between 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 as graph‐based and of truss‐type, equipped with a nonlinear elastic material law. The tensile strength test is described by a sequence of force equilibria with varied boundary conditions. Its embedding into a singularly perturbed dynamical system is advantageous with respect to statements on solution theory and convergence of numerical methods. A problem‐tailored data reduction provides additional speed‐up, while Monte‐Carlo simulations account for randomness. This work serves as a proof of concept and opens the field for optimization.