Effects of porosity, profile of thickness and angular deceleration on the stress and deformation of a fluid-saturated functionally graded porous magneto-electro-elastic rotating disc are investigated in this article. Since the angular velocity is taken to be variable, the disc is subjected to Lorentz force in two directions: radial and circumferential. It is assumed that material properties of the disc obey power-law function of radius. The disc is uniformly porous and its thickness varies as a function of radius. First, three coupled governing partial differential equations in terms of the displacement and electric potential are converted to ordinary differential equations employing the separation of variable method. Then, obtained equations are solved using the Runge–Kutta and shooting methods for the case of fixed–free boundary condition. The effect of variable angular velocity, thickness profile, inhomogeneity index, porosity, and magnetic field is studied and illustrated graphically. The results demonstrate that considering angular acceleration for the disc has a considerable effect on the Lorentz force resulted from the magnetic field. Besides, the angular velocity constant has a significant effect on the stresses and displacements in the presence of the magnetic field.

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In this paper, mechanical behavior of an exponentially graded magneto-electro-elastic (EGMEE) rotating annular plate with non-uniform thickness placed in a magnetic field is investigated. Owing to variable angular speed, the Lorentz force exists in both radial and circumferential directions. The thickness of the annular plate as well as material properties are assumed to alter through the radius as an exponential function. Employing the separation of variable method, three coupled governing partial differential equations are converted to ordinary differential equations. Next, the equations are solved employing Runge–Kutta and shooting methods. Finally, the effects of angular speed variation, thickness variation, inhomogeneity index and magnetic field are disclosed. The results demonstrate that considering angular acceleration for the annular plate has a considerable effect on the Lorentz force resulting from the magnetic field.