On propagation of waves in pressurized fiber-reinforced hyperelastic tubes based on a reduced model

A refined dynamic finite-strain shell theory for incompressible hyperelastic materials was developed by the authors recently. In this paper, we first derive associated linearized incremental theory, and then use it to investigate wave propagation in a fiber-reinforced tube that is subjected an axial pre-stretch internal pressure. We obtain dispersion relations both axisymmetric non-axisymmetric waves discuss their accuracy comparing them with exact relations. The bending effect also examined curves based on present membrane theory. It shown more accurate than studying plays important role some modes relatively large wavenumbers. effects of pressure, fiber angle are displayed. These results provide necessary validation using determine arterial properties.