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Towards an efficient two-scale approach to model technical textiles

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Abstract

The paper proposes and investigates an efficient two-scale approach to describe the material behavior of technical textiles. On the macroscopic scale the considered textile materials are modeled as homogeneous by means of shell elements. The heterogeneous microstructure, which consists e.g. of woven fibers, is explicitly resolved in representative volume elements (RVE). A shell-specific homogenization scheme is applied to connect the macro and the micro scale. The simultaneous solution of the macroscopic and the nonlinear microscopic simulations, e.g. by means of the FE\(^2\)-method, is very expensive. Therefore, a different approach is applied here: the macro constitutive response is computed in advance and tabulated for a certain RVE and for different loading scenarios. These homogenized stress and tangent values are then used in a macroscopic simulation without the need to explicitly resort to the microscopic simulations. The efficiency of the approach is analyzed by means of numerical examples.

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Acknowledgements

This project was funded by the DFG (STE 544/40-2).

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Authors and Affiliations

  1. University of Erlangen-Nuremberg, Egerlandstr. 5, 91058, Erlangen, Germany

    Sebastian Fillep, Julia Mergheim & Paul Steinmann

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  1. Sebastian Fillep
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  2. Julia Mergheim
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  3. Paul Steinmann
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Correspondence to Sebastian Fillep.

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Fillep, S., Mergheim, J. & Steinmann, P. Towards an efficient two-scale approach to model technical textiles. Comput Mech 59, 385–401 (2017). https://doi.org/10.1007/s00466-016-1354-3

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  • DOI: https://doi.org/10.1007/s00466-016-1354-3

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