The Effect of Grading Index on Two-dimensional Stress and Strain Distribution of FG Rotating Cylinder Resting on a Friction Bed Under Thermomechanical Loading

Abstract

This paper presents two-dimensional stress and strain behavior of a FG rotating cylindrical shell subjected to internal-external pressure, surface shear stresses due to friction, an external torque, and constant temperature field. A power law distribution was considered for thermomechanical material properties. First order shear deformation theory (FSDT) was used to define the displacement and deformation field. Energy method and Euler equation were employed to derive constitutive differential equations of the rotating shell. Systems of Six differential equations were achieved. Eigenvalue and eigenvector methods were used to solve these equations. It was found that the material grading index has a significant effect on stresses and strains of a rotating functionally graded material cylindrical shell in radial and longitudinal directions.