Solid Modeling Applied to Fibrous Assemblies. Part I: Twisted Yarns

In our earlier work, we developed a model for fibrous assemblies by treating each yarn as a true three-dimensional structure. We then were able to predict various orientation limits by manipulating the model until geometric self-intersection would occur. However, that model treated the yarns as inextensible and incompressible. In this paper, we propose an abstraction to visualize the effects of yarn compressibility and then study the results of applying the new model on a final object that is primarily one-dimensional in nature - a rope-like structure composed of a twisted bundle of individual yarns.