Applied model of a round cylinder reinforced with systems of yarns at large tensile, inflation, and torsional deformations

Abstract

Equations for a round cylinder weakly reinforced with systems of yarns and subjected to large tensile, inflation, and torsional deformations are presented. Since the degree of filling is small, the model of uniaxial stress state is assumed. The fibers are aligned with spirals on cylindrical surfaces and with radii in the transverse and meridional sections of the cylinder. The equations are obtained in the macroscopically unidimensional statement for the case of cylindrically symmetric strains. Numerical results are given for twisted hollow rubber cylinders reinforced with polymer yarns in the axial and radial directions.