Abstract: This abstract of the research is isotropic inhomogeneity in a thermoelastic medium containing infinite space with cylindrical math. The proposed model of thermoelastic research is for a homogeneous isotropic cylinder exposed to various boundary conditions. The analytical model includes coupled and uncoupled arrangements with graphical representation using software like MATLAB 2023. To advance interdisciplinary collaboration and advance excellent research on boundary value problems. The research's significance lies in its practical applications in geophysics, optics, acoustics, geomagnetic overviews, and oil exploration. It investigates what time and inhomogeneity mean for the radial displacement, temperature, and stress parts. This research expands on existing information in the field of thermoelectricity gives valuable insights to experimental researchers and assists with bettering understanding of complex thermoelastic phenomena.
