Computational homogenization of one-dimensional textile structures

Abstract

In this contribution a computational homogenization method for one-dimensional technical textiles, i.e. ropes or cables, is developed. Regarding the large length-to-thickness ratio that characterizes rope-like textiles on the macro level, a discretization with beam elements is numerically efficient. The homogeneous macro level is influenced by the heterogeneous micro structure involving contact between the fibers. Therefore, the fibers are modeled explicitly a representative volume element to capture the contact within interactions. For the connection of the two scales a specific homogenization method is introduced involving theoretical aspects and numerical examples for periodic rope-like structures.