The study analyzes the elastic behavior of materials used in thermal chucks for cutting tools, particularly H13 steel, focusing on its thermal expansion and fatigue resistance during the assembly process. Various hard coatings were evaluated for their effectiveness in reducing thermal fatigue, with CRN and TiN coatings yielding the best results. The findings emphasize the importance of material characterization and proper handling of thermal stresses to enhance the performance and lifespan of cutting tools in machining processes.