Multi-level helical twisted structures represent an example of how natural design achieved an optimized approach for creating a tough and strong fiber from often weak and soft micro-scale yarns through a hierarchical architecture. In this work, a constitutive model is presented to describe the load transfer within a double twisted helical structures in large deformation regime. The model aims to establish the torsion-tensile properties of fibers as an assembly of twisted yarns and filaments. The model associates the fiber response to the mechanics and the geometry of yarns in the deformed state. In this work, we mainly focus on elastic response of the material and thus inelastic damages were not considered. We modeled the inter-yarn forces that can cause friction. By considering the deformation induced changes in the geometry of constituents, the model describes the influence of the fiber composition parameters such as helical angel of the filaments, prestretch, pretwist of the yarns and the inter-yarn frictions, on the mechanical response of fibers. The model provides a detailed outlook into load transfer within fibers which helps us understand how to design fibers with certain performance.
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