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Efficient graph-based tensile strength simulations of random fiber structures

: Harmening, M.; Marheineke, N.; Wegener, R.

Fulltext ()

Zeitschrift für angewandte Mathematik und Mechanik : ZAMM 101 (2021), No.9, Art. e202000287, 13 pp.
ISSN: 0044-2267
ISSN: 0946-8463
ISSN: 1521-4001
Journal Article, Electronic Publication
Fraunhofer ITWM ()

In 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.