magneto-piezo-mechanical stresses analysis of a porous fgpm rotating non-uniform thickness disc with variable angular velocity

The mechanical behavior of a fluidsaturated functionally graded porous piezoelectric material (fgppm) rotating disc with variable angular velocity and thickness placed in a constant magnetic field was investigated. due to variable angular velocity, the disc was subjected to lorentz force in two directions: radial and circumferential. it was assumed the disc is powerlaw functionally graded in the radial direction. the disc is uniformly porous and its thickness varies as a function of radius. first, three coupled governing partial differential equations were converted to ordinary differential equations using the separation of variable technique. then, equations were solved using rungekutta and shooting methods for the case of fixedfree boundary condition. the effect of variable angular velocity, thickness profile, inhomogeneity index, porosity and magnetic field was investigated. the results demonstrate that considering angular acceleration for the disc has a considerable effect on the lorentz force resulted by the magnetic field. besides, the angular velocity constant has a significant effect on the stresses and displacements in the presence of the magnetic field.