Stress and Deformation of a Functionally Graded Piezoelectric Rotating Disk with Variable Thickness Subjected to Magneto-Thermo-Mechanical Loads Including Convection and Radiation Heat Transfer

Abstract

The stresses and deformations of a functionally graded piezoelectric material (FGPM) non-uniform thickness rotating disc under magneto-thermo-mechanical loads including convection and radiation heat transfer were examined in this paper. The material constants were considered to be a power-law function of radius. Also, the heat convection coefficient and heat conduction coefficient are functions of radius and temperature. The equation of heat transfer was derived considering thermal gradient, convection thermal boundary, and solar radiation. The nonlinear final differential equation was solved using the Differential Transformation Method (DTM). Then, the equilibrium equation together with the electrostatic equation of the disc was derived and solved analytically. So, the radial and circumferential stress, radial deformation, and electric potential were obtained. Finally, the effects of solar radiation, convection heat transfer, temperature dependency, inhomogeneity index, angular velocity, and magnetic field on the stress, deformation, and electric potential of the disc were investigated in numerical examples. The results show that solar radiation, convection boundary, thickness function, and inhomogeneity index have a considerable effect on the responses of the rotating FGPM disc.