The mechanics of tubular fiber: Theoretical analysis



A mathematical model of a tubular fiber is analyzed to predict its rigidity and some of its physical properties which are essential in textiles. The change in the properties of a tubular fiber with increase in the size of hollow core is considered and compared with the cylindrical fiber of the same outside diameter, the same denier, and the same rigidity as that of the tubular fiber. The equations are developed in dimensionless quantities to make them invariant to the units of fiber dimensions. The analysis revealed that having a hollow core of 4/10th the size of the outside diameter, in a solid fiber, could reduce the fiber weight by 16% without making any significant change in the rigidity of the fiber.