A generalised method for the coupling of a parallelogram-like unit cell with a macroscopic finite element to simulate the behaviour of textiles

  • Benjamin KaiserEmail author
  • Thomas Pyttel
  • Fabian Duddeck
Original Research


To simulate the behaviour of textiles, three major characteristics are important, kinematic fibre interaction, shear behaviour, and thickness changes of the fabric caused by shearing. Instead of anisotropic continuum mechanical models normally used, a macroscopic finite element coupled with an internal unit cell, made of beam elements is proposed here. The beam elements represent the yarns. The method is generalized for unit cells with parallelogram shaped unit cell geometries. The coupled unit cell model can improve finite element simulations, in terms of calculation time and modelling effort, because the major characteristics named before can be described in detail by the unit cell without using full-scale models.


Textile composites Woven fabrics Draping simulation Fibre interaction Non-orthogonal unit cells Beam based unit cells Coupled multi-scale models FE2 


Compliance with Ethical Standards

This study was sponsored by ESI Group, 100-102 Avenue de Suffren, 75015 Paris, FRANCE. The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Technische Hochschule MittelhessenFriedbergGermany
  2. 2.Technische Universität MünchenMunchen̈Germany
  3. 3.Queen Mary University of LondonLondonUK

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