Mechanics of Elastic Performance of Textile Materials

A theoretical analysis of the load-elongation behavior of idealized plain-weave fabrics subjected to biaxial stresses is presented. Fabric strains resulting from both crimp interchange and yarn extension are considered. The analytical expressions de rived have been solved with the aid of a digital computer for both linearly elastic and elasto-plastic materials. Time effects, although not explicitly included, are discussed. Generalized plots of the results are presented for the two extremes of initial fabric structure: (1) equal crimp distribution in both sets of yarns and (2) one set of yarns noncrimped (straight). The predicted and measured response of model fabrics are compared.