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  4. Recent Efforts in Modeling and Simulation of Textiles
 
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2021
Journal Article
Title

Recent Efforts in Modeling and Simulation of Textiles

Abstract
In many textiles and fiber structures, the behavior of the material is determined by the structural arrangements of the fibers, their thickness and cross-section, as well as their material properties. Textiles are thin plates made of thin long yarns in frictional contact with each other that are connected via a rule defined by a looping diagram. The yarns themselves are stretchable or nonstretchable. All these structural parameters of a textile define its macroscopic behavior. Its folding is determined by all these parameters and the kind of the boundary fixation or loading direction. The next influencing characteristic is the value of the loading. The same textile can behave similar to a shell and work just for bending, or behave as a membrane with large tension deformations under different magnitudes of the loading forces. In our research, bounds on the loading and frictional parameters for both types of behavior are found. Additionally, algorithms for the computation of effective textile properties based on the structural information are proposed. Further focus of our research is the nature of folding, induced by pre-strain in yarns and some in-plane restriction of the textile movements, or by the local knitting or weaving pattern and the yarns cross-sections. Further investigations concern different applications with spacer fabrics. Structural parameters influencing the macroscopic fabric behavior are investigated and a way for optimization is proposed. An overview of our published mathematical and numerical papers with developed algorithms is given and our numerical tools based on these theoretical results are demonstrated.
Author(s)
Orlik, Julia  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Krier, Maxime  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Neusius, David  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Pietsch, Kathrin
Textilinstitut ITM, University of Dresden, 01069 Dresden
Sivak, Olena
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Steiner, Konrad  
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Journal
Textiles  
Funder
Deutsche Forschungsgemeinschaft DFG  
Open Access
DOI
10.3390/textiles1020016
Additional full text version
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Language
English
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM  
Keyword(s)
  • textile modeling

  • homogenization

  • beam-based model

  • buckling

  • folding

  • spacer fabrics

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