In this paper, we propose and implement a time-domain finite integral technique (TDFIT) for modeling thermal deformations and variable structures of any complexity. By employing a rapid 3D interpolation technology, we simultaneously solve the deformation mapping of diverse thermoelectric mesh models and parametric surfaces. Our approach ensures the accurate integrated simulation of thermoelectric properties, arbitrary thermal distributions, and minor shape variations. The proposed method is particularly suitable for materials characterized by electrically large scales, non-uniform temperature changes, and deformations. This study presents a thermoelectric integrated modeling approach and a practical simulation tool for analyzing the electromagnetic scattering and radiation properties of radomes and aircraft under high-temperature and high-pressure conditions.