Notice of RetractionEffects of constitutive parameters on radial inflation and oscillation of pre-stressed nonlinear elastic tubes

Notice of Retraction

After careful and considered review of the content of this paper by a duly constituted expert committee, this paper has been found to be in violation of IEEE´s Publication Principles.

We hereby retract the content of this paper. Reasonable effort should be made to remove all past references to this paper.

The presenting author of this paper has the option to appeal this decision by contacting TPII@ieee.org.

In this paper, the problems of static deformation and periodic oscillation are examined for a pre-stressed cylindrical tube composed of an incompressible nonlinear elastic material under the radial pressures at its inner and outer surfaces. The mathematical model of the problems is proposed and a nonlinear differential equation that describes the motion of the tube is given by using the inverse method. The effects of various parameters, namely, the material parameters, the structure parameter, the axial stretch and the applied pressures, on static and dynamic behaviors of the tube are discussed in detail; meanwhile, numerical simulations are carried out. The stable conditions of solutions describing the static inflation of the tube are given by using the principle of minimum potential energy and the controllability conditions for the nonlinearly periodic oscillations of the tube are presented.