Mesoscale Hyperelastic Model of a Single Yarn Under High Velocity Transverse Impact

Abstract

In this chapter the modellisation of a single dry yarn under impact load as an homogeneous hyperelastic continuous body will be treated. In the first part, a preliminary introduction to dry fabrics mesoscopic models in impact applications will be performed. In the second part, an hyperelastic constitutive law for yarn structures continuous modeling will be presented. The proposed constitutive behaviour aims to the modellisation of the yarn transverse cross section evolution during an impact which is actually obliged in the classical linear elastic formulation. A theoretical introduction to the hyperelastic law is followed by its validation using the numerical model of transversely impacted yarn as benchmark test. The obtained results are compared with those from microscopic and classic linear elastic mesoscopic studies. A good agreement is obtained from the comparison with the different approaches. Moreover, the ability of the proposed model in representing yarn transverse behavior and formulate multiaxial failure criteria compared to the linear elastic approach universally adopted is remarked.