Stress analysis of rotating cylindrical shell composed of functionally graded incompressible hyperelastic materials

• Exact closed form solutions are derived for rotating cylinder made of FG rubbers.
• Member of Ericksen׳s family of universal solutions has been used.
• Proposed power law strain energy function is used to find stress components.
• Sensitivity of stress components to angular velocity has been investigated.
• Effect of material inhomogeneity and structural parameter has been investigated.

In this paper, rotating thick-walled hollow cylindrical shell composed of functionally graded material are analyzed by using the theory of hyperelasticity. Hyperelastic behavior is modeled by using proposed power law strain energy function with variable material parameters. Material is considered incompressible and material properties are assumed as a function of the radius of the cylinder to a power law function. Material inhomogeneity parameter (n  ) is a power in the mentioned power law function. Material constant of strain energy function is calculated from experimental data by using Levenberg–Marquardt nonlinear regression method. The analytical solution is obtained for the axisymmetric plane strain state. Following this, profiles of circumferential stretch, radial stress, circumferential stress and longitudinal stress as a function of radial direction are plotted for different values of nn. The obtained results show that the material inhomogeneity parameter (n  ) and structure parameter (ββ: ratio of outer radius to inner radius) have a significant influence on the mechanical behavior of rotating thick-walled hollow cylindrical shell made of functionally graded materials with power law varying properties. Thus with selecting a proper nn and structure parameter (β)(β), engineers can design a specific FGM hollow cylinder that can meet some special requirements.

Figure optionsDownload as PowerPoint slide