Wrinkling of anisotropic soft membranes

We study the mechanical response of a fiber-reinforced non-linearly elastic thin-walled circular tube subject to torsional twist. If as a result of the applied deformation compressive stresses arise, wrinkling is taken into account. We investigate this phenomenon using the general tension-field theory, extended to account for the presence of oriented reinforcing fibers. The material under consideration is neo-Hookean with an additional term that accounts for the existence of the directional reinforcements. We first consider membranes characterized by uniaxial reinforcement and then extend our investigation to anisotropic materials characterized by two families of fibers in two preferred directions.