Y. Kyosev^{1}, P. Boisse^{2}, D. Durville^{3}, R. Roesch^{4} ^{1}Hochschule Niederrhein - University of Applied Sciences/DE, ^{2}Institut National des Sciences Appliquées de Lyon/FR, ^{3}Ecole Centrale Paris/FR, ^{4}Fraunhofer-Institut für Techno- und Wirtschaftsmathematik (ITWM)/DE

Textiles are fiber-based structures. The modern textile reinforcement composites are based on fiber-based structures, too. The modeling of these structures was based early mainly on geometrical methods or using simple models based on the analytical mechanics. During the last time significant results are achieved using the computational mechanics, inkl. FEM. The most problems during modeling are in the combination of the following typical parameters of the structures:

- they are based on a huge number of single fibers (at least 40 fibers per cross section in a single yarn, couple hundred yarn pieces per small sample)
- fibers and their parameters are not regular
- friction (with the stick and slip effect) plays significant role for the behaviour
- the problems are usually non-linear (non-linear geometry, non-linear relations in the equilibrium equations) and the systems of equations are usually stiff.
- the problems are multi-scale - the scales single fiber, yarn, structure, composites - have to be considered
- properties of the structures depend on the load case (under tension, lateral compression, torsion, bending)
- the interaction between the textile and the matrix in a composite materials is very complex and as well the methods for homogenisation of such structures, as the methods for the prediction of the delamination and the complete behaviour of such structures are still in development

The goal of the symposium is to connect the people, using computational mechanics to model the fiber - based structures and the problems of their engineering design. Further the goal is to demonstrate the open problems to the people of the computational mechanics and mathematics and to allow broad discussions and possibilities for new cooperation between research teams.