Influences of material and structure parameter on everted deformation for a spherical shell composed of incompressible hyperelastic materials

Abstract

In this paper, the problem of finite deformation is examined for a thin-walled everted spherical shell composed of a class of neo-Hookean materials, and then it is described as a class of boundary value problems (BVPs) of a certain second-order nonlinear ordinary differential equation (ODE). The implicit solutions are solved. By using numerical example, the results reveal the thickness of the everted cylindrical tube increase with the increasing initial thickness, the influences of the dimensionless radial perturbation parameters on the inner radius is significant.