Intrastructural Thermal Stresses in Composites with Homogeneous and Heterogeneous Spherical Inclusions

Intrastructural thermal stresses in granular composites with homogeneous and heterogeneous spherical fillers caused by the thermomechanical incompatibility of their phases are investigated. Based on the theory of thermoelasticity, resolving differential equations for the cases of continuous, hollow, and layered spherical inclusions are formulated, and their solutions in closed and expanded forms are constructed. It is shown that the fields of incipient thermal stresses have concentrators on the interface surfaces, which decrease inversely with the cube of the radial coordinate. Particular examples are discussed.