Abstract:The finite deformation problem is examined for an everted cylindrical shell composed of a class of transversely isotropic incompressible neo-Hookean materials about radial direction. The corresponding mathematical model is solved by using the incompressible condition and the semi- inverse method, moreover, the system of nonlinear equations that the inner radius and the axial stretch rate of the everted cylindrical shell must satisfy is obtained by the boundary conditions. The effects of material and structure parameters on the inner radius and the axial stretch rate of the everted cylindrical shell are discussed by numerical examples. The results show that the effect of initial thickness on the inner radius and the axial stretch rate of the everted cylindrical shell is not essential, but of the radial transversely isotropic parameter, especially on the aspect of axial stretch rate.