The method of determination of yarn bending rigidity and friction factor during interaction of fibers

Abstract

This paper addresses a method of textile yarn bending rigidity determination and gives substantiation thereof. This method is characterized by the closest conformity of the yarn actual bending pattern in fabric. This is achieved by placing the yarn under load between two supports in the form of two taught fibers. The yarn curvature is not determined experimentally but computed thus reducing any computation errors. The tensile load is determined by the deflection angle of the support with the yarn. The supports with the yarn are printed on a 3D printer to reach the maximum accuracy in the determination of their masses’ center. The computation accuracy of the yarn rigidity during bending is also achieved by filling the yarn curve space with epoxy resin and a subsequent analysis of the deflection with the microscope. This results in the creation of a mathematical model that contains the bending moment, yarn curvature and tensile load. The findings of the determination method of the yarn bending rigidity are used to establish the factor of friction of the tested fibers against each other. The dependence of the friction factor on the yarn curve point coordinates will be determined for a certain type of carbon fiber.