Study of Memory-Dependent Derivatives in Micropolar Thermoelastic Media Subjected to Magnetic and Rotational Effects

To investigate the elastic responses of materials with memory for a rotating media subjected to magnetic effects, an innovative mathematical model in micropolar generalized thermoelasticity is being developed. The novelty of the current study lies in integrating memory effects with microstructural features, which allows for the investigation of advanced materials that possesses both micro and macro level time-dependent nature. To determine the analytical solution of the required problem, the normal mode technique along with the Helmholtz potential’s, is being used. The normal mode technique transforms the system of partial differential equations into a system of ordinary differential equations, resulting in an analytical solution of the problem. Graphical analysis has been provided, depicting variations in the temperature distribution, force stress, couple stress, and displacement components.