Modeling of textiles as nets of one-dimensional hyperelastic strings with friction controlled by capstan equation

This paper deals with the computational modeling of the in-plane stretch behavior of knitted textiles. Yarns in textiles are modeled as one-dimensional hyperelastic strings with frictional contact. The model is the limiting case of the three-dimensional contact model, as diameters of the yarns cross-sections tend to zero. The model is analyzed theoretically and solved by the finite element method with one-dimensional hyperelastic truss elements, with an extension to frictional point-to-point contact. Numerical results for in-plane loading experiments obtained by this approach are discussed and compared with results of real measurements