Influence of Non-Homogeneity, Rotation, Magnetic Field, and Initial Stress on Radial Vibrations in Thermo-Viscoelastic Isotropic Media

This paper presents an innovative analytical approach to investigate the effects of rotation and initial stress on a magneto-thermo-viscoelastic non-homogeneous medium with a spherical cavity under periodic loading. The study focuses on analyzing the distribution of displacements, temperature, and stresses within the non-homogeneous medium using the generalized thermoelasticity framework based on the GL theory. The derived analytical solutions are extensively discussed, and the results are visually presented to illustrate the influences of rotation, initial stress, relaxation times, magnetic field, viscoelasticity, and non-homogeneity. Furthermore, comprehensive comparisons with prior research are conducted, encompassing scenarios with and without rotation, magnetic field, and initial stress. These comparisons contribute to establishing the significance of the findings and highlight the advancements made in this study in relation to existing knowledge in the field. MSC: 74F15, 74H45, 74J20, 74K10